% #■ THE LIBRARY OF THE UNIVERSITY OF CALIFORNIA HENRY RAND HATFIELD MEMORIAL COLLECTION PRESENTED BY FRIENDS IN THE ACCOUNTING PROFESSION - z' I G\f\ U-^SL N BNRVR. HATFIELD < Gv^ l.?^ C0^4TE AVENUE BERKELEY CALIFORNIA Digitized by the Internet Archive in 2007 with funding from IVIicrosoft Corporation http://www.archive.org/details/bookkeepingaccouOOcolerich INTERNATIONAL BUSINESS LIBRARY BOOKKEEPING ACCOUNTING AND AUDITING BY WILLIAM MORSE COLE, A. M. Assistant Professor of Accounting in the Harvard University. Graduate School of Business Administratioa. NATIONAL INSTITUTE OF BUSINESS RACINE - CHICAGO COPYRIGHT 1914 BY INTERNATIONAL LAW & BUSINESS INSTITUTE WHITMAN PUBLISHING CO. RACINE - CHICAGO "Ever judge of men by their professions. For though the bright moment of promising is but a mo- ment, and cannot be prolonged, yet if sincere in its moment's extravagant goodness, why, trust it, and know the man by it, not by his performance." — Browning, "A lawyer without history or literature is a mechanic, a mere working mason ; if he possesses some knowledge of these he may venture to call himself an architect." ^Sir Walter Scott. ivi511300 PREFACE One thing which distinguishes bookkeeping and accounting from most other lines of human activity is that they deal with figures which are more or less abstract. One does not handle in bookkeeping and accounting definite things which can be coimted, looked at, examined, and held in the mind's eye while one is thinking about them. One's thinking must be done through the imagination. One must reason and draw conclusions about things which, though real, can be grasped only by the brain; for the accountant cannot cut up every article of mer- chandise and every note into a portion which is investment and another portion which is profit. This^ involves at first a certain amount of hard thinking, but by long practice one may become so familiar with f imdamental principles that for common transactions one reaches right conclusions unconsciously, from force of habit. So one escapes the confusion of try- ing to think about several sets of abstract things at once. That is to say, if the figures themselves are abstract and require on the accountant's part some effort to hold them firmly in his mind, he ought not to be trying at the same time to reason out the method which he shall use in making an entry; for he may find the effort to do two lines of thinking at 3 4 PREFACE once so confusing as to lead to wrong results. The principles of bookkeeping and of accounting, there- fore, should be so thoroughly familiar that they are, for most transactions, matters of second nature. Everyone who is not an expert pianist wonders how a skilled performer can work his fingers with such rapidity and hit the right notes with just the right force, hold them for just the right time, and at the same time work the pedals so that no note shall be sustained beyond its due season. It appears as if the pianist were reading the signature to indi- cate sharps or flats, the notes to indicate what keys should be pressed, the value of the notes to indicate the duration, the marks of expression, the keys under his fingers, and the pedals under his feet, all at the same time. This looks like superhuman power. As a matter of fact, of course, the experienced performer is perfectly unconscious, after he has begun to play, of the signature — ^because once in the swing of the key he unconsciously introduces the proper sharps or flats because of long practice — ^lie unconsciously holds the notes the right length of time — because from long practice the sight of a certain type of note produces almost automatically in his fingers the right length of pressure upon the key, — and without his con- sciousness of it the sight of the pedal-mark on the page depresses his feet, or the ring of the notes in his ear results in an automatic pressure of the pedal. The player, in other words, though he appears to be doing many things at once, involving the sight of many things at once, is doing most of his work almost unconsciously, and is governed almost entirely hr the sensation produced in his ear by the automatic PREFACE 5 connection between the printed notes and his fingers and feet. The same thing is true of any practical work. Only after we have had much experience in any line of work can we do difficult things easily, but those things which to a novice seem beyond comprehension are matters of commonplace after the wonders of reflex action have had oppor- tunity to work. The singular thing about reflex action is that instead of waiting for the nerves to carry a message to the brain, and then the brain to send another mes- sage back to a muscle telling it to move, a short cut has been made directlv from a nerve to a muscle, which causes the muscle to act even before the brain knows what is going on. If, for instance, I move my hand unconsciously against a thistle, before I am really aware of the fact that I am in pain my hand has involuntarily shrunk away from the sharp point. I become aware of the pain practically at the same moment, or even after the withdrawal of the hand, because the nerve which felt the pain sends a message directly to the muscle and causes the hand to be withdrawn at the same time that it sends the message to the brain notifying it of the discomfort. This is the secret, as has been suggested, of all skill, and the bookkeeper is not competent to do rapid work — or, we may almost say, even accurate work — unless the principles to govern his operations are so far a part of his mental equipment that without stopping to think how the thing ought to be done he does it in the correct way. The first step for anyone wishing to learn to be an accountant is, therefore, to master thoroughly the fundamental principles — ^to master 6 PEEFACE them so thoroughly that he never has to stop to think what should be debited or what credited in any trans- actions but those which are of an unusual nature. This book is intended to discuss all the common principles of accounting as found in normal business, and to make them clear to persons who wish to study them without a teacher. The best teacher is not so much the one who teaches as the one who gives his pupils opportunity and guidance in learning. The learning must be done by the pupil himself. This book professes only to give the opportunity and the guidance. It is undesirable in a book of this tyipe to afford a large amount of practice in bookkeeping or accounting work, for if that were done the pages would be filled with repetitions of similar transac- tions which, though necessary for the beginner, would deprive him of the opportunity to do his own thinking. The common transactions of business are so well understood by everyone above childhood that practice can usually be provided by each student for himself through a very simple exercise of the imag- ination. For instance, one needs to know automatic- ally that a sale of merchandise for cash involves a debit to Cash and a credit to Merchandise; and the student should have come across that transaction and made the proper entry so many times that instinct- ively the sight of the words *^sold for cash" brings up to his mind the words ^ ^ Cash to Merchandise. ' ' It is recommended, therefore, that anyone undertaking to use this book as a means of learning the arts of bookkeeping and accounting construct for himself a large number of imaginary transactions involving, over and over^ all the common transactions. This PKEFACE 7 should not be done, however, by outlining a large number of transactions of the same sort following one another in immediate succession. If one writes one hundred transactions of the same sort one after another one is not cultivating the habit of think- ing about them; indeed, one is doing nothing more than training the hand to make entries in the right form; for after the first entry, with a knowledge that the transactions are the same, the brain is not called into play. The proper method, then, of inventing transactions for practice is to alternate them so that very seldom do two of the same sort come together. If a sale for cash is foUow^ed by the issue of a note in payment of a bill, and that by the payment of wages, and that by the borrowing of money, or the payment of a bill in cash, or the receipt of interest money, etc., so that the mind is obliged to jump around from one sort of thing to another with great rapidity, and all these transactions come again and again and again, the mind soon acquires the ability to make the entries by the kind of reflex action already referred to. When one has acquired facility in making these common entries one should attempt to make entries of a peculiar type, beginning with those that are merely unusual, though simple, and then gradually increasing complexity until one has mastered the ready handling of practically all cases that may arise. In the appendix will be found a number of such rather complex cases to illustrate the sort of practice necessary. In the first part of the following pages will be found not only a careful working-out of the common transactions of business, each repeated in one form 8 PEEFACE or another several times, but an indication, by typical illustrations, of the bookkeeping for less fre- quent transactions. Anyone who has absolutely mastered the principles here expounded — that is, has mastered them so thoroughly that he is not likely to stumble in their application — ^is competent to make the entry for any transaction that he under- stands. Accounting principles require somewhat the same sort of practice as that suggested in connection with bookkeeping, though to construct for it situations out of pure imagination is not quite so easy. The reader who wishes to master accounting is recom- mended to invent for himself situations involving the principles expounded in the latter part of this book — such as the distinction between capital and revenue, between one class of expenses and another, between stable values and depreciating values, be- tween values involving only capital and those involv- ing interest and discount. Then such transactions may be made more complicated by the introduction of two or three of these distinctions at the same time, and so on until a high degree of complication has been handled successfully. Students of accounting commonly have the expei^ence of thinking they understand what in reality they do not understand. Often they understand just what they see before them as a problem but fail to see just how big the problem is. Every principle should be worked out in detail, in Hack and white, and the student should accustom himself to thinking exactly how every situation would look upon the books. If all situations desirable to study were presented in type PEEFACE 9 in this text-book, the student would be deprived of the valuable practice of working them out for him- self, and would become better accustomed to seeing them in type than to seeing them in his mind's eye. He should, therefore, in thinking of situations de- scribed in this book, try to see how each would look in books of account, and then he should write the en- tries for himself. As he reads the text, he may then see whether the facts there mentioned apply to the situation that he has put before himself. If not, he should go back and see what is the discrepancy be- tween the situation he has recorded and that de- scribed. Then he is in a position to try the conclu- sions suggested in the book with the actual figures before him. This method fixes in his mind the appearance on the books of all common situations and enables him in practice to recognize at once the things which he has here been studying theoretically. This should be done particularly for things that are here discussed but not worked out in detail in the printed form. For the interpretation of accounts the best prac- tice is to get hold of the reports of corporations and partnerships, though the latter are seldom published, and attempt to read between the lines — to see, for instance, why each particular kind of asset was in- creased or decreased from one year to another, from what source the assets were increased and the liabili- ties decreased, or how it happened that the assets were decreased or the liabilities increased. Wherever statistics can be obtained to show the detailed opera- tions of any company, as is always possible with railroads, the attempt should be made to relate those 10 PEEFAOE operations to the income sheet and to the balance sheet so that one may see how far the various parts of a report are consistent and what light each part throws upon the others. CONTENTS CHAPTEE I. INTRODUCTION 13 CHAPTER II. DEBIT AND CREDIT 19 CHAPTER III. THE METHOD OF ENTRY 33 CHAPTER IV. THE COMMON LEDGER ACCOUNTS. 49 CHAPTER V. THE PRACTICAL OPERATIONS OF BOOKKEEPING 109 CHAPTER VI. DRAWING CONCLUSIONS FROM THE BOOKS 139 CHAPTER VII SOME HIGHLY DEVELOPED TYPES OF BOOKKEEPING 175 CHAPTER VIII. THE PECULIARITIES OF CORPO- RATION ACCOUNTS 213 CHAPTER IX. PROPERTY OR EXPENSE ? 239 CHAPTER X. DEPRECIATION ' 263 CHAPTER XL PROFITS 281 CHAPTER XIL THE INCOME SHEET 305 CHAPTER XIII. THE BALANCE SHEET 315 CHAPTER XIV. THE INTERPRETATION OF BAL- ANCE SHEETS 331 XI 12 CONTENTS CHAPTER XV. THE DETEEMINATION OF COSTS. . 347 CHAPTER XVI. SETTLEMENTS BASED ON AC- COUNTS—PARTNERSHIPS, IN- SOLVENCY, TRUSTEESHIPS. ... 375 CHAPTER XVIL AUDITING 397 APPENDIX 451 INDEX 475 ACCOUNTING AND AUDITING CHAPTEE I INTEODUCTION The art of accounting is commonly thought to include only making a record of facts. It chances that as industry has developed in recent years the making of the record is the least important part of the accountant's task. Accountancy is something more than bookkeeping. Bookkeeping is the art of making the record of known facts in such shape that the record can be interpreted and mathematical con- clusions drawn. Bookkeeping, that is to say, assimaes that the fact is known before the records are con- structed. Accounting, on the other hand, is not an art of making records but is the art of learning the facts which bookkeeping is supposed to record. This may be illustrated by a manufacturing business. The bookkeeper records the expenses for raw material, wages, fuel, taxes, rent, interest, insurance, and also the returns from sales of goods. Speaking roughly, a comparison of the two sets of figures gives the profit. This is bookkeeping. The accountant, on the other hand, will desire to know very much more than this. He will desire to know just how much a 13 14 ACCOUIN'TING AND AUDITING dollar's expense in labor has returned in product, how much every dollar's worth of goods sold has cost in the factory, what is the relation between the fuel consumed and the amount of product, whether all the articles produced show the same ratio between manufacturing cost and selling cost, or whether the profit is very much larger on some things than on others, whether the cost of each step in production is greater or less this year than in preceding years. These figures enable him to determine three things: first, what price he can best afford to put upon his product; second, what is the most profitable part of his business and whether any part is unprofitable; third, whether the greatest economy is practiced in obtaining the product. He is concerned also to see that proper allowances are made periodically for changing values: that is to say, he is concerned to see that at proper intervals allowance is made for changes in value of real estate, merchandise on hand, machinery and tools, investments, and innumerable other things which share in the vicissitudes of all things earthly. When these facts have been deter- mined by the accountant, it is a simple matter for the bookkeeper to make them matters of record. Thus it is true, as already suggested, that the ac- countant is concerned with learning facts which are not obvious, and the bookkeeper is concerned with recording both the obvious facts and those which the accountant has ascertained. The work of the accountant cannot be made me- chanical, nor can it be taught by any rules which one may commit to memory. It is almost entirely governed by judgment, and judgment is acquired INTRODUCTION 16 through experience in actual business or through experience in dealing with imaginary cases which might well arise in business. Not all people have the power of cultivating judgment, for certain qualities of mind are essential. These may be improved by education, but they cannot be created. It is true, however, that even those who have not naturally good judgment may as a result of education become more trustworthy than other persons of natural good judgment who have not taken the trouble to acquaint themselves with the facts of business. It follows, therefore, that though no book can rightly profess to furnish judgment, and so to make accountants out of bookkeepers, study of a good book should make a better bookkeeper, and one who is capable of doing some accounting work, even out of one who is not naturally possessed of good judgment; for so far as the exact problems to arise can be studied in ad- vance, accounting solutions may be provided in advance. So far, however, as problems arising for any accountant are new to him, he must solve them out of pure judgment or from their similarity to other cases of which the solution is familiar to him. It is the purpose of this volume to take up the commoner sorts of accounting problems in the vari- ous forms under which they are likely to arise, and to work them through so as to furnish illustra- tions for most of the simpler cases that are likely to appear in actual business. It is impossible, how- ever, that all kinds of cases shall be covered, for things are constantly happening in business unlike any that ever occurred before — or at least unlike any 16 ACCOUNTING AND AUDITING that could have been foreseen and provided for by any teaching. The first thing to do in an attempt at education of this sort is to cover the fundamental principles of bookkeeping. These are really only three in num- ber. The first is the distinction between debit and credit, and involves a determination for every entry of the exact responsibility which is involved in the transaction. The second fundamental principle is concerned simply with the kind of account which shall be debited or credited for each transaction; that is to say, not merely the name of the account but the use that shall in the end be made of that account in determining profit and loss and values at the end of any period. The third of these principles is con- cerned merely with the saving of labor in so arrang- ing the books that the minimum amount of writing and turning of pages shall give the maximum in- formation; this is done by providing special columns and special books for special figures, so that they may be handled in totals rather than in small details. When these three principles have been thoroughly mastered, one knows practically all there is to be known about bookkeeping. The remainder of the art consists in applying these principles to the specific conditions found in any particular business. No man can be familiar with all the bookkeeping forms which may be best for all lines of business, for the number is far too great. Yet a man with originality and judgment should be able for any busi- ness to devise a system on the three principles just mentioned. When this preliminary study of bookkeeping has INTRODUCTION 17 been made we may pass on to take the accounting principles — both those which must be applied in learning the facts for the bookkeeping entries, and those which must be applied in interpreting the book- keeping entries so as to give a final judgment about the profit and value of any business. A. & A-i CHAPTER n DEBIT AND CREDIT As was indicated in the introduction, one of the three principles that cover the whole of bookkeeping is the fundamental distinction between debit and credit. It must be understood, in the first place, that in order to make properly a debit or a credit one must be sure of the point of view. If Jones buys goods of Smith, and has them charged to his account, on Smith's books they will appear in a fashion exactly opposite to that on Jones's own books; that is to say. Smith's books must show that the money is owed by Jones, but they do not read to show that it is owed to Smith, for Smith's books relate only, of course, to Smith's affairs; but the books of Jones must show that the money is owed to Smith, though they do not need to show that it is owed by Jones. The same transaction, then, will be entered dif- ferently when it is viewed from different stand- points, for always the books upon which it appears are the key note of the situation. Smith's books must show by whom the money is owed to Smith's business, and Jones's must show to whom money is owed by Jones 's business. If, in making an entry on Jones's books we make the error of taking the point of view that belongs to Smith's books, we have misrepresented the facts. The first step, then, in 19 20 AGCOUNTING AND AUDITING any entry is to see in what relation the transaction stands to the business covered by the books on which the record is to be made. It must be understood always that debit and credit are always relative, — that is, that their meaning is not known in any particular case until one knows on what set of books they appear. The basis of all entries in the books of account is the accountability of the person or thing named. This accountability may arise from any one of several things, and it may imply either a duty to be performed by the business for the benefit of a person or thing named on the books, or a duty to be per- formed by an outsider, or by a special department of the business toward the business as a whole. A duty to be performed by an outsider, or by a department of the business itself toward the business as a whole, is always called a debit, and is made through what is called a ^^ charge" to the account representing that person or thing. A duty to be performed by the busi- ness for an outsider or for one of the business 's own departments is always a credit. We, in common language, speak of a thing as creditable when we mean that it may be counted in the favor of the person or thing concerned. This is exactly what we mean when, in bookkeeping, we credit an account. We may credit not only when it is our duty to pay for the benefit that we have received, but also when we wish merely to record the fact that the account named has conferred upon the business a benefit which the business will keep for itself. Similarly, in bookkeeping, we debit an account representing a person or a department of the business not only when DEBIT AND CEEDIT 21 the benefit, which the business as a whole conferred, must be paid for, but also when we wish merely to record the fact that the account named has received what the business sacrificed. So, in any case, a debit and a credit merely register the fact that an account- ability or a responsibility has been recognized or transferred. Debit means that the account debited is responsible to the business either as a debtor to repay the sum debited, as a repository to accoun. CO C^ CO -^ »0 t^ rH iH i-( r-l rH tH C >> a fl t! © Or- O g o in o CO Sr2 o »: fl fl -" ^ ^.2 ."^ d -S o W) P. S ;S -g ^ o o I fk,eiWM^opmfi(iHWPkoQQ IJ o __ «H O O .15 OQ O fe qqAQo '3 o .9 *^ ^ii ?? rt CD CU Lh 9 cs -IS 53 ^j ;q 3 OQ ^ o a> «*< o 4j 1ACTICAL OPERATIONS OF B00K:KEEHK'G WH FURNITURE AND FIXTURES [Page 15 Jan. 1 Cash 2 500 00 POSTAGE [P»«8 M Jan. 1 Cash 2 15 00 STATIONERY [Page 41 Jan. 1 Cash 2 125 00 FREIGHT [Pa«e 44 Jan. 3 Cash ' 65 00 DELIYERY EQUIPMENT [Page M Jan. 4 Cash 2 500 00 ADVERTISING [Page 50 Jan. 4 Cash 2 30 90 1 WAGES [Page 52 Jam. S Cash 2 80 00 INSURANCE [Page 58 Jan. 19 Cash 2 100 00 FUEL [Page 58 JaB. 2% Cash 2 100 00 ns ACCOUNTING AND AUDITING PROPl T AND LOSS [Page 60 , Jan. 24 Cash 2 100 00 i CHARLES DICKENS [Page 80 Jan. 9 Bills Payable 1 4000 00 Jan. 2 30 Merchandise } 4000 1000 00 00 ANTHONY TROLLOPE [Page 81 Jan. 5 Merchandise 1 700 00 Jan. 26 Bills Receivable 1 700 00 ALEXANDER POPE [Page 82 Jan. 5 Cash 2 6000 00 Jan. 5 Merchandise 1 6000 WALTER SCOTT [Page 83 Jan. IS Cash 2 7000 00 Jan. 9 Merchandise 1 7000 00 JONATHAN SWIFT [Page 84 Jan. 13 80 Merchandise 1 1 575 600 00 00 Jan. 23 Cash 1 575 00 RICHARD STEELE [Page 85 j„.« Merchandise 1 1 200 500 00 00 Jan. 25 Cash 1 200 00 We have seen that it is possible to have any num- ber of debits to Cash with only one posting to Cash. It can readily be seen that if we provide a special column in the cash book and into this carry all items belonging to any one account which needs to be cred- ited when Cash is debited, we can post all those PKACTICAL OPEEATIONS OF BOOKKEEPING 129 credits in one lump sum quite as easily as we post the Cash debits. It often chances that a business is of such a nature that a large portion of the receipts or of the expenditures are of the same sort. A column provided for the account concerned makes it possible to reduce to a minimum the total number of postings for all transactions. Let us suppose, for instance, that of the cash expenditures one-half are chargeable to Expense. If we provide a special column for ex- penses so that all expense items shall be carried into that column and all other items into the principal column, we may then neglect the posting of all ex- pense items until the end of the month. They have been ''laid on the table," so to speak. The items extended into the general column will be posted to the ledger in the usual fashion, item by item; that is, the first, perhaps, to Bills Payable, the next to one of our creditors whom we have paid, the next to Freight, the next to Stationery. Then if at the end of the month we post the total of the special expense col- umn to Expense, and carry that total into the general column so that it is included in the total credit to Cash, we have produced the desired result upon our ledger. We simply hold up the expense postings through the medium of a special column until the end of the month and then take them in a lump sum. So far as our cash expenditures are for expense, we are by the device of the special (expense) column in the special (cash) book providing that neither half of the entry — that is, neither Cash nor Expense — need be posted oftener than at convenient intervals, and then only in lump sums. One posting for Expense and one posting for Cash does all the work even though there A & A-9 ISO ACCOUNTING AND AUDITING be five hundred sucli items. If, again, we assume that of the remaining cash expenditures one-half are for freight, and a special column is provided for Freight, to be treated similarly to that for Expense, we have reduced to one-fourth the items which must be posted one by one. In other words, the cash, com- prising one-half of all postings, the expense, com- prising one-fourth of all postings, the freight, com- prising one-eighth of all postings, are made in totals, or three postings in all, and therefore the individual postings need be but the remaining one-eight of the total. This device of special columns in the cash book is of almost universal use in businesses having anything more than a small number of transactions. The number of such columns is determined solely by convenience. For the sake of showing the arrange- ment of such a book, an illustration is given on page 131 showing, with slight changes, the entries for the transactions given in the common cash book form on page 123. In order to have several items to illustrate the special column, various accounts kept separate in the first form are in the new form combined in Ex- pense. The arrangement of the debit side of the cash book would be exactly similar except that the special columns would be for the use of different accounts, for the accounts which bring in cash are usually different from those which cause it to go out. PEACTICAL OPERATION' S OF BOOKKEEPING 131 g Is :8 888 ^ T-t C^ CO (M (S '-' o) o "^ - ■ O; ^ GO o 13 Ph rt r— I ,o B'Ci o OQOffl - P. «5^§,^ %P^^P^4 a> ^ ^ <» 2: 2 u s ^ ^ O _. O fl .2 " .rt o3 o -fin 0) c o fl.S °'3 6 CO ;h^ — ■ l_) w * -^ be . o o^^ 5tt ^ OQ O « P,W o ^ • 2"^ rt -- be .9 r3 O 03 H Ah 3 P< o © ©C©©>-»©r-! ^fl^cS >>>>^>SS>>>SS§>S>S^>"' S g "=^> O QO O rl ic r~ POOJCOOC CO O w . o o q6TS tOr-l 0«^<» O . . -M . . ■^ o o .00 ^^ III S a c g - 0) O t" I OOOUSOJ 1 — ^< PKACTICAL OPEEATIONS OF BOOKKEEPmG 135 Similarly, we may have in our journal special col- umns for those accounts coming most frequently in that book. When, for instance, we receive from our customers notes in payment of their bills, and when we give notes in payment of our own bills, the only book on which the entry can be made simply is the journal; for as neither cash nor merchandise is in- volved in the transaction the entry cannot go. directly upon the cash book, the purchase book, or the sales book. If, therefore, we provide in our journal a special column each for Bills Receivable debits and for Bills Payable credits, we may avoid the necessity of posting journal debits to either of those accounts until the end of the month; then the total of the col- umn for each kind of notes — debits to Bills Receiv- able and credits to Bills Payable — can be posted each as one lump sum. Here is the obvious and common use of the special coliunn. Its practicability in varying circumstances can readily be seen. The only limitations upon its use are two: first, if items are not of frequent occur- rence in any book for any account, the handling of a special column may make more work than it saves — for it always involves some extra writing in the book of original entry; second, if we provide a large num- ber of special columns for accounts not of great fre- quency our books become so bulky that time is lost in passing over dead columns and in picking out the exact column into which each entry should go. Illus- trations are given below of a form of journal with special columns for Bills Receivable and Bills Pay- able. These assume settlement of items shown on page 134 to be made by notes. In addition will be 136 ACCOUNTING AND AUDITING found another form used a number of years ago, which is an excellent illustration of some of the pos- sibilities of the special column. This is called the columnar journal. It is a sort of combination cash book, purchase book, sales book, and journal. The Cash debit column is the same as the debit side of the common cash book. The Cash credit column is the same as the credit side of that book. The Merchan- dise debit column is the same as the purchase book, and the Merchandise credit column is the same as the sales book. This form of journal is useful for a small business having but few transactions. The illustra- tions here are based on the transactions shown on page 134, but assume that goods are purchased out- right and that payment is made in cash for both pur- chases and sales. PRACTICAL OPERATIONS OF BOOKKEEPING 137 pq S 8 8 r-i CS O ■Si ^5 ° o •s a rS PI'S 03 4> OQ cq . tH -^ (-5 S O ^ O «H •-3 O CC o M PQ Ph P-. O «H I" a rt I'® r2 « pq oTO o W a m 138 ACCOUNTING AND AUDITING 1 i5 S g 8 ^ T*^ I— ( ikM 8 ^ 18 ?S g ^ g-g-^ JO i-- i-H g.2 !5 8 g g S8iS S S ^ g sas •^ O lO l>. r-KN t>- l-Hl-t 00 U3 CO o lO « d o d ?3 43 s o o g ►-3 s o d ^ d o «M *o iy ^ o • •^3 a> >■ H fl O / d O ^1 a P s ■a n 1 03 O -a .2 1 i S3 .... ^ w^ ^^ £^ w & o :z; -«1 fO t-5 ts ^ g 1 s 1 ^ PQ ^ >■ i^ , ^ ^^ o o §5 1^ o^H ■g^ d CJ o |g Cash, Merc Cash Merc ^ ^ 1-3 s u W CO yAf^ >^ S> i^> >f3 ?3 > U5 > >§ (MU5(N lO ij s C g I^ g g 8!S IS ^ g S g SS R cK-S »o rt< CO t^ 1— ( r-t fe lis i2 g lis g S s g-s-= ■<1H CO 1 g g iS ^ g ^ o 1 «? t^ ^ i CHAPTER VI DRAWING CONCLUSIONS FROM THE BOOKS Since the purpose of all accounting is to present the ultimate truth regarding values and profit and loss, the most important thing of all is that the rec- ord shall be summarized in a form bringing out clearly the desired figures. The preparatory step is, if possible, to prove the correctness of the record. We have seen all along that debits must equal cred- its, for whenever we have debited any account as re- sponsible we have credited some other account as conferring the responsibility. Since, then, we have all along provided that debits shall equal credits in our original entries, it must be true that, if oiu* post- ing is correct, the total debits of our ledger must equal the total credits of our ledger. The device to test correctness is simple. It usually takes the form of what is called a ''trial balance." In its simplest type the trial balance is a sheet containing the names of all ledger accounts and in debit and credit col- umns opposite each name an extension of the amount of the debit and credit total of that account. Then the sum of all the debits of all accounts should equal the sum of all the credits. To make such a trial balance, however, is a little more than is neces- sary. It is obvious that all accounts which have been closed, so that they now show no excess of one 138 140 ACCOUNTING AND AUDITING side over the other, are by that fact akeady proved to have debits equal to credits; and since our only purpose in the trial balance is to test the equality of debits and credits, we have no need of these ac- counts on the trial balance. Similarly, if we wish, we may omit all but balances on the accounts still standing open; for as the balance is nothing but the excess of one side over the other, in omitting all ex- cept the balance we are simply omitting items already proved to be equal. An adequate form of trial balance, therefore, is the trial balance of ledger balances. This is valuable, too, as a summary of the business at the date of the trial balance. It should be preserved for reference. Below will be found two trial balances for the ledger shown on pages 126-128. The first is the trial balance of ledger totals, and the second is that for ledger balances. In both, the numbers at the left of the names indicate, for reference, the numbers of the ledger pages on which the accounts are found. One inexperienced in bookkeeping is surprised to learn how frequently a trial balance fails at first to show the desired equality of debits and credits. Errors in posting are much harder to avoid than the novice is likely to think. It is easy, for instance, to post an item to the wrong side of an account. A bookkeeper engaged in posting is shifting contin- ually from one side to the other of his ledger, and unless he watches himself very carefully or is think- ing constantly of the meaning of every posting he makes — which, as a matter of fact, he finds difficult because of the monotony of the routine labor of post- ing, — he is in danger of losing all adequate sense DEAWING CONCLUSIONS FROM BOOKS 141 [TRIAL BALANCE, JANUARY 31.— TOTAL DEBITS AND CREDITS] Laurence Sterne Cash Bills Receivable Bills Payable Real Estate Interest Rent Merchandise Expense Furniture & Fixtures Postage Stationery Freight Delivery Equipment Advertising Wages Insurance Fuel Profit & Loss Charles Dickens Anthony Trollope Alexander Pope Walter Scott Jonathan Swift Richard Steele 225100 31092i2o esoojoo 400000 1530000 3260 2600000 2500 60000 1500 12500 6500 50000 3000 8000 10000 10000 10000 400000 70000 600000 700000 107500 700 00 10406485 34993|75 2819760 470000 1300000 2350 10000 357500 500000 70000 600000 700000 67500 20000 10406485 [TRIAL BALANCE, JANUARY 31.— BALANCES] Laurence Sterne Cash Bills Reeceivable Bills Payable Real Estate Interest Rent Merchandise Expense Furniture & Fixtui Postage Stationery Freight Delivery Equipment Advertising Wages Insurance Fuel Profit & Loss Charles Dickens Jonathan Swift Richard Steele 289465 160000 1530000 910 2242500 25 500100 1500 12500 6500 60000 3000 8000 10000 10000 10000 50000 SOQlOO 34768 900000 10000 100000 75 4486875 44868175 142 ACCOUNTING AND AUDITING of what he is doing, and is likely to post to the credit side an item which ought to go to the debit. The detection of this sort of error through the trial balance is sometimes easy. If the bookkeeper has posted to the wrong side he has produced an error in the ledger of double the amount posted; for, by posting to the wrong side, he has not only made one side larger than it ought to be, but he has neces- sarily made the other side smaller than it ought to be; and whenever we at the same time make one side larger and the other smaller, we are establishing be- tween the two a difference twice as great as the amount of error. This may be illustrated by very simple figures. Suppose we have to post 2+3+4 to one side, and 6+2+1 to the other. These should give equality, or 9 on each side of the trial balance. Sup- pose, however, in making the last posting — which would be, we will say, adding 1 to the credit side, — we make the error of adding it to the debit side. Then our debit side reads 2+3+4+1, and our equation reads, since our 1 is now omitted from the credit side by the error, 2+3+4+1=6+2; which is a false equation by twice the sum of the original error, or 10=8. When, therefore, a bookkeeper finds in getting the total of his trial balance that one side is larger than the other by a sum divisible by twQ, he recognizes a possibility that the error arises from a mistake in posting — or, what is quite as likely, a mistake in drawing off figures from his ledger to the trial balance — so that some amount is placed on the wrong side. If the amount of discrepancy divided by two is a peculiar figiu'e, such, for instance, as $463.29, it is a matter of but a moment usually to see DRAWING CONCLUSIONS FROM BOOKS 143 whether that sum is among the figures involved in the month's transactions either in the trial balance itself or among the original entries. If that figure appears, the posting should be examined to see that it has not got upon the wrong side. It is extremely easy for a bookkeeper to make a slight error in addition. This will usually a:ffect only one or two digits in a number, and therefore if his trial balance fails of proof Hj sl discrepancy of one or two figures— for instance, one side of the bal- ance reading $164,213.20 and the other side $164,- 313.20, — he has three possibilities worth noting: first, the error may be $50 on the wrong side in the original entry — for the discrepancy is $100, and $50 is one- half of it; or it may be in transferring from the ledger to the trial balance an item of $50, so that it has got upon the wrong side ; or he may have made an error of 1 in adding his totals on the ledger, in striking a bal- ance from his ledger totals, or in adding the trial balance itself. In the attempt to find the error he will naturally look first at the places where it would be most quickly discovered if it existed there; and, therefore, he will first examine the footings of his trial balance, then the transfers from the ledger to the trial balance, next, the figuring of ledger bal- ances themselves, and, finally, the additions of ledger figures. If the error is still undiscovered he will naturally turn next to the additions of sums posted to the ledger in total; that is, the additions of his purchase book or sales book or cash book. Obviously, if in adding the figures of his sales book he has made an error of $100, the amount posted as a debit to cus- tomers will be correct because composed of the indi- 144 ACCOUNTING AND AUDITING vidual items, but the posting credited to Merchandise, being derived from a false addition of the sums prop- erly debited to customers, will be incorrect by the amount of the error in addition. A very common error in posting is due to the fact that we can all remember figures better than we can remember the order of those figures. Most of us have had the experience at one time or another of writing, for illustration, 623 when we meant 632. A bookkeeper who is engaged for hours consecutively in making postings, especially of large figures, is likely to make a number of transpositions of this sort unless he watches himself with extreme care. It is an interesting fact that any transposition of fig- ures will produce a discrepancy divisible by 9. The difference between 34 and 43, for instance, is 9; be- tween 27 and 72 is 45, which is divisible by 9; and so on with any number of digits in any possible re- arrangement. It is sometimes worth while, there- fore, for a bookkeeper to make the test of dividing his discrepancy by 9 to see whether possibly some figure has been transposed. If he finds the prob- ability here he may be helped to find the error, but usually not, — ^though the probability may Suggest to him where he had best look to see the mistake. In case the discrepancy is divisible by 9, a relation can be found between the amount of discrepancy and the figures transposed; for instance, if the discrepancy is 9, division by 9 gives 1, and this 1 indicates that the difference between the figures transposed is 1, — that is, 23 for 32 or vice versa, or 34 for 43, or 45 for 54, or 56 for 65, or 67 for 76; and the difference be- tween 461 and 164 is 297, which divided by 9 gives 33, DEAWING CONCLUSIONS FROM BOOKS 145 indicating by its repetition of 3 (not necessary to explain here) that the middle figure is not changed, and by the 3 that the difference of transposed digits is 3 (4 — 1) ; and the difference between 461 and 146 is 315, which divided by 9 gives 35, indicating that the difference between the first two figures is ^3 and between the last two figures is 5. This is of very little avail to a bookkeeper with thousands of figures be- fore him, however, except as a hint to watch for the transposition of figures with the difference indicated. We know that unless there has been some mistake in adding figures to be posted, or in posting, or in striking balances on the ledger, or in transferring fig- ures to the trial balance, or in adding the trial bal- ance, the trial balance debits must equal the trial bal- ance credits, and it is worth while to find wherein lies any discrepancy. We must not think because the dis- crepancy is only a few cents that the error is trivial; for obviously a dozen errors, some on one side and some on the other, would produce a bal- ance of error of merely the difference between the debit errors and the credit errors. In other words, the size of the discrepancy on the trial balance gives no indication whatever of the num- ber or size of the errors in the books. For in- stance, an error of $5,000 omitted from the debit side, another of $10,000 omitted from the credit side, an- other of $15,000 omitted from the debit side, and $9,999.99 omitted from the credit side, would give a balance of error of just one cent; for the total debit errors are $20,000 and the total credit errors $19,- 999.99. It is never safe, therefore, to proceed with the books if the slightest error is disclosed in the trial A. & A-10 146 ACCOUNTING AND AUDITING balance ; for the discrepancy indicates unknown error or errors of unknown amount in the books of original entry or somewhere between the original entries and the trial balance footings. One class of error may persist in the books in spite of a trial balance which proves an equality of debits and credits. If, for instance, we have by a careless posting credited Robinson when we meant to credit Brown, we have done nothing which affects the trial balance. The trial balance does not indicate that every figure has been carried to the proper account, but only that every figure has been carried to the correct side of some account. No one must rest in the false assumption that his books are correct because he has a good trial balance. The trial balance does establish a strong presumption that the books are correct, for an amount is much more likely to get upon the wrong side or to be entered with an error in the figures than wholly in the wrong part of the ledger. Without a trial balance, on the other hand, the assumption is that the books are not correct ; for no bookkeeper can work without occasional error. In one other case — very improbable, however — a trial balance may show equality of debits and credits and yet not prove the correctness of the books. Just as errors may occur in determining balances or in transferring to the trial balance, thus throwing out the trial balance though no errors exist on the books themselves, so such errors might happen by chance to offset errors in the books; and thus an error of $423.10, for instance, in the books might chance to be exactly offset by an error on the other side of $423.10 in striking balances or in drawing off the DRAWING CONCLUSIONS FEOM BOOKS Ul trial balance. This occurrence, however, is very- much against the law of chance. The chances are several thousand to one against it in even a small business, and perhaps a million to one against it in a large business. Should such a thing occur it could not continue long, however; for it is against all reason that it should occur again another month, and a trial balance that failed to show equality would soon dis- close the error. Sometimes a month's trial balance fails ^^to come," that is, to show equality of debits and credits, after a test of all the sorts known to bookkeepers. These tests are intended merely to suggest probabil- ities iwith regard to the error. When they fail, the only hope lies in going back over the work of the month, item by item. The desirable thing usually is to go over, item by item, all the postings of the month, rechecking them with care both in the books of original entry and in the ledger. This checking is usually done with a hard, fine pointed pencil, and the check marks are placed in the double ruling where they are not conspicuous. Great care should be taken that no item is checked either in the book of original entry or in the ledger until its counterpart in the other has been found to be upon the right side and has been found to be of the right amount. To check it in the book of original entry before its counterpart has been found is to run the risk that the whole purpose of checking will fail. When all the work has been checked up in this fashion, a survey of the books of original entry and of the ledger should show at once whether any item has been entered without posting, and whether any posting has been made without a 148 ACCOUNTING AND AUDITING corresponding source in an original entry; and, of course, if any entry is checked twice, or if, when on the point of checking it, one finds that it has been already checked, something is wrong at that point. If this checking fails to disclose the error, the case is discouraging. Most bookkeepers would at this point begin all over at the very start as if they had heretofore made no effort to find the error. If still on a second round of discovery the error is not found, the presumption is that it is in the books of the preceding month; but still the human eye and the human hand are so fallible that it is usually worth while to try another device before going back. This device should determine whether the error is in this month's work. Since for each individual entry the debits must equal the credits, the total debits for all the accounts for any month must equal the total credits for all the accounts for that month; and if we were to take a trial balance for the items of this month alone, regardless of any items on the ledger prior to the beginning of this month, we ought to find the debits equal to the credits; that is, if in a trial bal- ance including only this month's items the debits do not equal the credits, and there is no mistake in draw- ing off the trial balance, the error is in the books for this month. This fact is just what we wish to learn. It is a comparatively simple matter to take a trial balance for the items of this month. When the ledger accounts are not numerous, this may usually be done by simply making a new trial balance for the figures added since the last balance was taken; but if the number of accounts is very large, so that it is difii- cult to see from the ledger just what items belong to DRAWING CONCLUSIONS FROM BOOKS 149 this month, it will be simpler to make new postings, on independent sheets of paper, for the items of this month alone and then take a trial balance of those in- dependent ledger postings. If we have then a trial balance which proves, it is obvious that the error which we have been hunting for is not in the books of original entry for this month. It is either in this month's ledger figures, or it is of earUer date than this month's transactions. If we add our new one- month trial balance to last month's trial balance, so as to produce a new one, a comparison with the faulty balance will show in what accounts there is discrep- ancy. Then study of the situation will show just where is the trouble. It is sometimes thought worth while to learn on which side of the ledger an error disclosed by the trial balance is to be found. If we use, in our trial bal- ances, not the balances of open accounts, but the total amounts of debits and credits for each open and closed account, we can learn by subtracting one month's totals from the preceding month's totals what is the actual total of all ledger debits and of all ledger credits posted for that month. The total of the purchase book, the sales book, both sides of the cash book, and either side of the journal, will indi- cate the total amount of new debits which ought to have been made to all accounts during the month; that is, since from the purchase book we debit Mer- chandise, from the sales book we debit customers, from one side of the cash book we debit Cash and from the other side debit recipients of cash, and from the journal we debit all other items, the total of all these must be the total debits of the month. Sim- 150 ACCOUNTING AND AUDITING ilarly, the total of the purchase book, the sales book, the cash book, and either side of the journal, will be the total necessary credits for the month; for we have credited our creditors from the purchase book, have credited Merchandise from the sales book, have cred- ited Cash from the disbursements side of the cash book and have credited sources of cash from the re- ceipts side, and have credited miscellaneous accounts from the credit column of the journal. We have now a complete statement of what this month's debit post- ings and credit postings ought to be, and what the postings for each side actually are; so one can readily see which side of the trial balance is in error. This may reduce the labor of finding the particular fault. Some firms keep their trial balances in double form, showing both totals and balances. If totals are entered in black and balances in red, confusion is avoided. We now assume that our books have been prop- erly posted, and that the trial balance has been taken to give us evidence that there^ is no error. We are concerned next, then, to draw conclusions from the records preserved upon the books. Eemembering that we have three kinds of accounts, one represent- ing property, another representing persons, and a third representing known forces, we may, by treating each of these classes of accounts as its nature war- rants, determine just how much property is in the business and how great are our profits and our losses. As we saw long ago, the total of all personal accounts showing a debit balance represents claims; the total of all property accounts showing a debit balance rep- resents property; and the total of all personal ac- DEAWING CONCLUSIONS FROM BOOKS 151 counts (excluding that of the proprietors) 'showing a credit balance represents debts. So the sum of these debits less these credits represents the total net assets of the business. The account of the proprietors, which is really a personal account, represents their investment; but the business, though accountable to the proprietors, is not responsible to repay them; it needs merely to show what it has done with the value entrusted to it. If the business has suffered a loss, the net assets will not suffice to meet the liability to the proprietors, and if it has earned profit, the assets will more than meet that liability. The net invest- ment of the proprietors, moreover, is shown as the credit balance of their personal account. The total of all personal accounts having a credit balance, then, must be covered by all the assets, or the business has suffered loss. Any excess is gain for the period under consideration; for since the proprietors are credited with their investment as it stood at the be- ginning of the year (plus any investments made dur- ing the year, and less any withdrawals of invest- ments), the excess of total assets over the total lia- bilities (including the proprietors' investment) shows the amount of increase of assets, or net gain, resulting from the operations of the business for the period. Similarly, a deficiency in assets shows net loss for the period. The nominal accounts, on the other hand, since they are debited for losses and expenses and are cred- ited for earnings or gains, also must show this same net gain or net loss for the earning period; for since we have never debited or credited one of these nom- inal accounts unless we were at the same time cred- 162 ACCOUNTING AND AUDITING iting or debiting some personal account or property- account (except in the mere case of a transfer from one nominal account to another, which does not affect the total of them all), the net balance of all nominal accounts must exactly equal the net balance of assets and liabilities. Any excess of .assets over liabilities, we have seen, indicates an increase of property, and since nominal accounts were credited whenever there were increases in property to explain, the net credit to such nominal accounts must equal the excess of assets over liabilities. Similarly, if the liabilities, in- cluding the liability to the proprietors, are in excess of the assets, it is because the business has lost prop- erty through shrinkage or expense or bad debts; and since all decreases in property were credited to the proper accounts and at the same time debited to nominal accounts by way of explanation, the net bal- ance of debits shown by the combined nominal ac- counts must exactly equal the net deficit of assets. So our method of double entry is fulfilling its func- tion by giving us at the end of the period an explana- tion in nominal accounts of all changes in property accounts. This is best made clear in drawing conclusions at the end of an earning period by arranging a table con- taining six parallel columns to show the debits, the credits, the assets, the liabilities, the losses, and the gains. If each kind of property were always worth exactly the amount of net debits standing to its ac- count on the ledger, four columns would do as well as six, for all debits to property accounts and per- sonal accounts would be resources, all credits to per- sonal accounts would be liabilities, all debits to nom- DEAWING CONCLUSIONS FROM BOOKS 1S3 inal accounts would be losses, and all credits to nom- inal accounts would be gains; but as a matter of fact, as we have seen in the treatment of Merchandise, sometimes our debit to a property account does not represent the present value of property on hand, for there are likely to be increases and shrinkages in value which have not yet been entered on the books. Our Real Estate, for example, will nominally be deb- ited for the value of real estate at the beginning of the year, but if there is some depreciation, as is sure to happen with regard to buildings on which there have not been large repairs, we are not quite repre- senting facts as they are if we leave the value on our books at the end of the year as it was brought down at the beginning of the year. This amount of depre- ciation is clearly a loss, and we should indicate it not only by bringing down a new valuation on that ac- count, but also by entering the difference or shrink- age among the losses. Since the basis for our judg- ment of values and of profit and loss is the trial bal- ance, it is well to incorporate the trial balance in this statement; and, therefore, it is usually convenient to use a six-column form, as shown below. The figures used for illustration are taken from the trial balance on page 141. The statement is immediately followed by a detailed explanation of its construction and meaning. We have here but one month's transactions, but for illustration of the method of determining profits they will do as well as would figures for a longer period. We will proceed to extend the debit and credit trial balance columns into (1) the resource and liability columns and (2) the loss and gain columns, 164 ACCOUNTING AND AUDITING 8S iS^I^ ^^ ^8888888^8: C5|iH iH «0 COOO [2 8 '^g ^ ^8 § § OOCO ^ "to OO «5 5:> § 88 1 ^81^ On *Q M 00 1 S8 8S 888888888888 COCO (MrH SOS iCiOQiOtOOQOOQQQ (NC^lOr-iCOCOOCOQOOOO CO Tt< iO r-( iO tHi-HiH lOiO i-H (M ow . CO CD r^ Pi • ^ ^f "1 P^'^.iO rt ^-'^•^ 2 C3 3 3 § o ® o o jd S c 1f « ^'^^^> > ^ S "^ > rHlOOOO CD 00 tH i-HrH(?qCs| -S 53 s !^ SOME HIGHLY DEVELOPED TYPES 181 02 .2 m 3 03 3i3§i3 O O fM CC lO lO CO -t «^ 3 1 8 18 1 s ^ 88 881811 1 ?s ^^ X o 1 88 88 18 \ 2000 300 700 400 1 less less mith less less Invoice No. 57 '' No. 60 Office Supplies Paid note H. S Invoice No. 58 '' No. 59 Discount contra Dombey & Son Henry Esmond Expense Bills Payable Adam Bede Silas Lapham Creditors Expense Discount — contra Cash, Cr. Balance I>-t^^ G0O5'^rHi-(i-l y^ rH rH T— 1 C^ 1 182 ACCOUNTING AND AUDITING instance, is adding it at the foot of the page after the total cash receipts have been figured. This is unob- jectionable except for the fact that until this balance has been inserted the books do not show what is the cash required to be on hand, and, therefore, they are false at all times except when the cash book is balanced. Sometimes the balance is brought over as the first entry in the Sundries coliunn, but when the cash book is closed and posting is to be made to the Cash account, the amount posted is the total less the balance. The amount to be posted is indicated by what is called a '* short extension"; that is, the amount is not written in the extension column. This, again, is unobjectionable except for the fact that it does not look right. To place in the money column a figiu^e which is obviously a correct figure, because it is the amount of an addition of the figures above it, and then to post a smaller figure, looks decidedly suspicious. The amoimt extended in the Customers' and Creditors' columns is the full face of each bill in spite of the fact that less than the full face was paid; for we must credit the customers and debit the cred- itors with the full face of each bill because in each case the full amount is entered on the ledger, and we must show that the account has been squared. The amount of discount is the subtraction from the full face. In closing the cash book, the total discount found by adding the Discount column is carried to the other side of the cash book and entered there in the Sundries column with an indication that it comes from the other side of the book. In the place where it originates, the word *^ Discount" is not written in SOME HIGHLY DEVELOPED TYPES 183 the journalization column, for no posting is made of this item from this place. The journalization column is left blank and only the explanation is used in con- nection with the amount. It wUl be noted here that $130.00, which is the total of the Discount column on the receipts side of the cash book, is carried over to the foot of the disbursements side in the journaliza- tion and Sundries columns, and is not only posted from that source but is included in the credit to Cash. This is as it should be, for the amount of discount on the receipts side is the same as an equivalent of cash paid out, and, therefore, should be credited to Cash and debited to Discount, as it now is, on the disburse- ments side of the cash book. Similarly, the footing of the Discount column on the disbursements side of the book, which is $89.00, is carried to the receipts side of the cash book and there entered in the sun- dries column. This is as it should be, for those dis- counts are equivalent to receipts because they were subtracted from bills which were paid, and therefore are to be debited to Cash and credited to Discount when the cash book is posted. It would be possible, of course, instead of carry- ing the amount of discount appearing on each side of the book to the other side and posting it thence, to strike a balance between the two sides and post only the excess. This would produce the right effect on the cash account, but it would hardly give the full- est information with regard to discount. One indi- cation of the goodness of our accounts receivable is the number of discounts which our customers take, for a firm on the verge of insolvency is not likely to be able to pay its bills promptly and receive the dis- 184 ACCOUNTING AND AUDITING counts for prompt payment. If we were to combine our Discount debits with our Discount credits and post only balances, we should be offsetting all dis- counts which we ourselves received against discounts taken by our customers, and we should have no indi- cation of the actual magnitude of either side of the account. This would mean that in comparing one year with another we should not know whether we ourselves had taken more or fewer discounts, and whether our customers were improving or not. The double ruling under the total of the two Dis- count columns indicates, as double ruling always in- dicates, that the amount goes no farther in this con- nection. Here, for instance, the amount is not car- ried into the Sundries column, but stops short. This writing of it is to be neither added nor subtracted. When it is transferred, the new writing is not so double ruled, for it is to be employed in connection with other figures. The footing of the column for Customers is post- ed to Customers in the general ledger, and will ex- actly equal, of course, the postings made to the sub- ordinate, or customers' ledger, from the individual items. This amount is also extended into the Sun- dries column because it must be included in the Cash debits — for the excess over the amount actually received is offset by the discount transferred to the other side of the cash book. This matter of the treatment of discounts is in- teresting because it shows how great a variety of forms and processes is open to any bookkeeper in the treatment of his items. It should be remem- bered, as has already been suggested, that but two SOME HIGHLY DEVELOPED TYPES 186 principles govern the arrangement of books. The first is the need that everything shall be very clearly stated and so arranged that it can be easily under- stood by any ordinary reader familiar with book- keeping. The second is that items shall be so ar- ranged that posting can be conveniently made to the ledger, which is the ultimate destination of all fig- ures of debit and credit. If it is found in any case that one arrangement is better adapted to the needs of this business or to the temperament of the book- keeper than another, that arrangement is to be pre- ferred. In the form just illustrated it is seen that the full amount of the bill is written in the column for the controlling account, and that the discount is written in a column by itself; so that the actual amount of Cash is the difference between the two; but by extending the total amount of discount to the other page at the end of the week or the month the proper balance of Cash is preserved. If, however, we wish to see what cash was actually collected on any bill, we must perform a subtraction of the amount in the Discount column from the amount in the other column. It is obvious, however, that it would be possible so to arrange the books that the discount would not need to be carried to the other page. If, for instance, instead of entering opposite the name of the customer the full amount of the bill, we should enter the net amount paid by him after the discount was deducted, the total of the column would be the total cash received and would be the proper debit to Cash without regard to discount. It is equally obvious, however, that in posting to the customer's credit we should need to use not merely 186 ACCOUNTING AND AUDITING the net amount of the bill — that is, the face less the discount, — but the full amount, or the sum of the two items written in the cash book — that is, the amoimt which he pays plus the discount allowed; for on the ledger he is debited with the full amount of the bill and our credit to him must be of sufficient amount to show that his bill has been paid. This introduces a slight complexity from the fact that in posting it is usually awkward to add two sums together in the head and accurately transfer that amount to the ledger. Some bookkeepers, however, like this method. It is shown, for the receipts side of the cash book, with the items used in the previous form. This form has one new peculiarity. The amount of discount on the receipts side of the cash book must be posted as a debit, for it represents a deduction from our collections : that is. Discount is responsible for our failure to collect the face of the bills. Yet normally items on the debit side of the cash book are credits, — for since the debit side of the cash book shows items to be debited to Cash, it shows items to be credited to other accounts. This discount, however, has no real relation to Cash, and is on the cash book only for convenience. The credit to the customer is from two items — one of cash and one of discount. To put them together, with one explanation, saves writ- ing. This discount column, then, is really only a jour- nal entry inserted in the cash book for economy of labor. Care must be taken that it is plainly labeled to be debited, for otherwise its position here might lead to erroneous crediting of it. Our treatment of totals here is necessarily differ- ent from that in the last form. Since discoimt is SOME HIGHLY DEVELOPED TYPES 187 1 'a 8 8 8 $ 8 ^ g ^ a t^ CO ^ ^ 3 3 J^ 1 s^-S s. g ££.!:« = S O 2 :«P^1 i. S g Balan Danie Bills Felix Marti Merch Disco Custo Cash, Balan Jfe >c^'^^^> CO r-» (N CN > rH^OCO^OO rH 1 1 188 ACCOUNTING AND AUDITING directly subtracted, and not, as before, added to the other side of the cash book, our posting to Customers at the end of the period must be the sum of the net cash column and the Discount column — for the credit to each customer as the bills were paid was necessa- rily the sum of those two items for each bill; our total net cash must be included in the sundries col- umn, to be debited to Cash; and our total discount may be debited directly from this place. We may provide for all this by a simple precaution in the order of taking totals. If we first take the total of net cash, we may extend the item into the Sundries column and thus provide for our Cash debit. Since we must include the Discount in the credit to cus- tomers, we next take the footing of the Discount col- umn, which must be independently posted, and then extend it into the net cash column after the total of net cash has been determined. By adding the Dis- count to the net cash we get the full amount to be posted as a credit to Customers. Another device to serve the same end is to enter the full amount of the bill in the Customers column, to enter the discount in the Discount column, and to carry the net amount to the Sundries column. Then all figures are provided : we post to the credit of the customer the amount in the total column, we credit to Customers the total of the total column, we include the net amount in the Cash receipts, and we post to Discount, as a debit, the total of the Discount column — which, as in the last form, has really noth- ing to do with Cash. This is complete and simple. It is shown below: SOME HIGHLY DIVBLOPED TYPES 189 1 S88S8 8 ■^ t^CO rH CO S rt Tj< rH tH CO OQ -^ 8 BB o| ^ OQ rH Q £ S3 8 88 3 8 88 ^ lO ^ 0-1 ^ s r-l <>4 O 8 o 3 8 8 o U~) *o cSs ^ Oi 05 lO >§ l> ^ i-H rH CQ EH T3 & •3 o iH rH H ■•^ « last month a Account Feb. le Note A. Scot On account ewit Account Feb. Cash sales i 1 a'^'S 1 ^ g o o > So P >-• ^ 5 5j S jO . iH OQ 1' alan anie ills elix arti erch usto O S 1 pqQpqpM^^ o « { U « yiii ^rH ICt^ »0 -^ ri »0 O 00 CD dS f-H 1-1 ^ r-l G*^ . -S ^ S 1^ 190 ACCOUNTING AND AUDITING In this form both the column for Customers and that for Discount are really for journal entries alone, and have no effect upon the amount of Cash. We have extended into the Sundries column the net cash in every case, and, therefore, that amount is automatically included in the receipts. The Cus- tomers column, containing the total of all bills, must be posted as a credit to Customers, and the total of Discount must be posted as a debit to Discount, for it is this discount and the cash which together make up the equivalent credit to Customers. The only peculiarity of the arrangement here is a provision that neither the amount of total for Customers nor that of Discount shall get into the Cash columns. This form has for its advantage over the others that it shows at all times the actual totals of all accounts concerned. It is impossible under the first form to find the cash receipts without first finding the Dis- count total, subtracting it from the Customers, and adding the remainder to the sundry cash receipts. It is impossible under the second form to learn the credit to Customers without adding the Discount to the net cash, and it is impossible to learn the total cash receipts without adding the net cash to the sundry cash. Here, however, the total of the Sun- dries column is always the total cash receipts, and the total of Customers is the total credit to Cus- tomers. All this sounds very complicated, but in practice as soon as one has learned the lay of the land it works very simply. We have just seen forms in which certain items that really belong on the journal are introduced into SOME HIGHLY DEVELOPED TYPES Idl the cash book because they may be inserted there in special columns with perfect clearness and without explanation. This suggests the fact that the cash book may be used commonly as a journal for any items if only the items are written on both sides. It is common in banking, for instance, to enter many things not cash at all on both sides, and to designate on the debit side of the cash book the name of the account to be credited and on the credit side of the book the name of the account to be debited. When these items are posted in the ordinary course, the cor- rect results are attained; for the cash balance is not affected, and items on the debit side of the cash book are of course credited and those on the other side are debited. Let us now, in order to see this prin- ciple in its fullness, apply it to an extremely compli- cated form. One who thoroughly understands this, and can reproduce it and make desired changes in it without throwing it out of order, may be said to have mastered the principle of the special column. Let us assume a commission business in which we receive commissions on sales which we make and pay commissions on sales made for us. We also buy certain merchandise directly for our own account and sell it both directly and on commission. Our profits are both commission and gain on merchandise, and our losses are both commission and losses on merchandise. We have then a variety of purchasing and selling relations. It is desired in such a business to keep constant run of the course of profits, and, therefore, to figure profit and loss on each shipment for sale on commission. In the illustration given below it will be seen that we save entries by treating in \CCOltNTtNG AND ATTBITIKG as cash things that are not cash, for by entering such items in connection with other items repetition of explanation is saved, and, though the amount of cash is overstated, the balance is correct. This form also, it will be noted, provides special columns for several controlling accounts. We have, then, a combination of practically all the complexities of bookkeeping form. In this business, four separate subordinate ledg- ers are kept: a consignment ledger, with a separate account for each lot of goods received to be sold on consignment — that is to say, to be sold for others on a commission basis; a shipment ledger with an ac- count for each lot of goods shipped to others from our own stock to be sold by them for us on commis- sion; a customers ledger for customers; and a cred- itors ledger for creditors. It is necessary to keep in the general ledger an account to represent each of these subordinate ledgers. We must debit each con- signment with expenses and commission and remit- tances to the shippers, and we must credit each with what we get for the goods. We must debit each ship- ment with what the goods cost us and expenses and commission allowed to our agents, and credit each with the net receipts from our agents. To close ship- ments accounts, moreover, we must debit them for gains — to make the debits equal the receipts, — and credit them for losses — to make the credits equal the debits. It is convenient, moreover, to close such shipment accounts as soon as possible, for the man- agers must govern their future shipments by the results of present and past shipments. If cer- tain goods shipped to a certain town always result SOME HIGHLY DEVELOPED TYPES 193 in a loss, a manager ought to know it as soon as pos- sible. It will save labor, moreover, if we can close each such shipment account at the time of receiving the final ^^ account sales" — that is, the final report, from the agent, concerning that shipment; for then the loss or gain may be placed in a special column, without explanation, in connection v/ith the entry of the amount received from the shipment. In om* cash book, therefore, we must provide a large number of special columns, for we have not only expenses and discounts and profit and loss, but several controlling accounts. On the receipts side, our controlling accounts will be Shipments — for amounts received from shipments sent away, — Con- signments — for amounts received for goods sold for others, — and Customers. On the disbursements side our controlling accounts will be Shipments — for ex- penses, commission, etc., — Consignments — for ex- penses and remittances sent to shippers, — and Cred- itors. For most of these controlling accounts, more- over, there will be more than one column, for in many cases the payments are likely to be less than the full amount of the bill. When payment is received for goods which have been shipped away to be sold on commission, the amount may be more or less than the sum debited to that shipment account, for com- mission is always to come out, loss may have been suffered, or profit may need to be added. Similarly, when payment is made to those for whom the busi- ness has sold goods on consignment, less is paid than the full price received on the goods, for commis- sion is to be deducted. When, again, payment is made for merchandise purchased, discount is likely A. & A-13 194 ACCOUNTING AND AUDITING to be deducted. Obviously, the commission, the dis- count, the loss, and the gain, are not properly cash items and do not belong ux3bn the cash book; but if we can save labor by inserting in that book items that do not theoretically belong there it is worth while to do so. Many forms will serve this purpose. We will take, for practice, not the simplest but the most complicated. The reader wishing to improve his understanding of the principle of the special col- umn is recommended to* see clearly the full meaning of this and then to devise ways of simplifying it, as suggested later. The first column on the debit side of the cash book indicates the total amount received on settle- ment with those who sell shipments for us. Obvi- ously, it this amount is more for any shipment than that shipment cost us as shown by the shipment ledger, the difference is gain. It may be entered at once in the gain column. If the return is less than the cost, the loss nmy be entered. Our shipments account, not only in the general ledger but as a total of the items in the shipments ledger, must balance so far as each particular shipment is concerned; and to make it balance the gain or loss must be entered. Shipments, in other words,^must be credited for more or less than the actual receipts by the amount of loss or gain; but gains may as well be added to the debits as subtracted from the credits ; so losses are credited to Shipments and gains are debited. These items of gain and loss are really not cash items at all, for their only connection with cash is registered in the amount entered in the Shipments column — which shows the amount of cash actually SOME HIGHLY DEVELOPED TYPES 195 1 w cr §^ :v> JO -J ■ .-'. u S*t! «c 000 tcao.-M — I 1^ ^j-a ! o|o ^ ts fs r. S A>£ § § 1 la ITS ^8 1 s 1 i 13 < 3 3 CM i ■** o ...I g s £2 •0 S |o w ifi I.-? ^ M ^ a ^ 1^ •;^ CO .0 O H « ' il 00 «=> r- CO tO 00 ..a cct. sales 257 ales for cash is bill less 2% cct. sales 247 ash sales. S. B. otal iscount contra otal OSS on shipments otal ontra otal <5aja<;oHQH ^qH h » to 003 Sg C hipments ©nsignme hos. Jone hipments erchandi erchandi ustomers onsignme ain hipments iscount ash. Dr. alance coo^cqSS 00 Oc»Q W CM OJS on 252 ance 623 No. 16. less n ance on 625 t contra Shipments •M+3 > c+3 q u c fl c da 03 0) 3 OJ 0) OD ipment nsignni 3eph V pense Qsignm pense editors mmissi nsignm ipment ss sCount sh. Cr. lance x)oo,=^o« Coo jao.Mcscs Mo^wo w 000 mkJ qo m SSS^iS S"*5§§^SS 2"= "^ evj -^in V •^ 196 ACCOUNTIKG AND AUDITING received. Entries for them need simply to close each shipment account and transfer the gain or loss to a nominal account — ^just as in the last chapter we made journal entries to close various accounts. These en- tries could perfectly well go upon the journal, as has already been indicated; but for every entry of this sort an explanation would need to be 'made, and that would involve rewriting the history of the trans- action. If the entries are made here, however, no additional explanation is necessary. Our present bookkeeping problem is then to provide means of debiting Shipments and crediting Gain, and of debit- ing Loss and crediting Shipments, for the amounts shown in the Gain and Loss columns. We have seen that any item may be placed on the cash book, even though no cash is involved, if only it is put on both sides. If, then, we carry the total of the Gain col- umn, $6.25, into our Sundries column, as if it were a cash receipt, and write the word '^Gain" in the jour- nalization column, this amount will be posted as a credit to Gain at the closing period. If, at the same time, we carry this $6.25 also to the other side of the cash book and there call it ^^ Shipments," it will be posted in due course as a debit to Shipments (be- cause items appearing on the credit side of the cash book are debited to the accounts named) and we shall have produced just the desired effect. The debit and the credit to Cash, though both excessive, offset each other. Similarly, if we extend the $5.10, which is the total of the Loss column, into the Sundries column as a cash receipt, and call it '^Shipments," to Shipments it will be credited when the book is posted, as we have already seen that it ought to be. If, finally, we carry SOME HIGHLY DEVELOPED TYPES 197 this $5.10 also to the disbursements side of the cash book and there call it ^^Loss," it will be posted as a debit to Loss, as we have already seen it ought to be. We have, then, by carrying both of these totals to both sides of the cash book, but in one case calling them ^^ Shipments" and in the other calling them by their natural names, produced the same effect as if we had made a journal entry, or, rather, two journal entries, to express the situation. Since, in the form as shown, the $6.25 gain on the credit side of the cash book should be posted as a debit to Shipments, it may be extended into the Shipments column and so be posted in total with the other Shipments items. Otherwise it must needs have a separate posting. Similarly, the loss appearing on the debit side is to be credited to Shipments, and so we save a posting by inserting it in the Shipments column so that it shall be included with the other credits to Shipments and be posted in a lump sum. The other half of each of these entries, however, is posted individually, and is individually extended into the Sundries column; for there are no other Gain items on the debit side of the cash book and no other Loss items on the credit side. The next column, *^ Consignments," includes cash receipts from the sale (not charged to any customer) of goods sent to us on consignment, and, therefore, shows the amount which should be credited not only to Consignments but to the individual consignment accounts in the consignment ledger — for since these goods belong to shippers, we must be sure that in each case we credit the shipper with the receipts on bis own goods. Since it shows an actual receipt of 198 ACCOUNTING AND AUDITING cash, the amount is finally, of course, extended into the Sundries column. The next column, that for Cus- tomers, again represents a receipt; but since the amount to be credited to Customers is the full face of all bills paid, regardless of discount, any over- statement of Cash when the amount is extended into the Sundries column must be offset by the items in the next column which are carried to the opposite side of the cash book whenever the book is balanced. The Merchandise column contains cash receipts from the sales (not charged to any customer) of merchandise directly from our own stock without the intervention of any commission merchant, and is finally, of coiu'se, extended into the Sundries column. When we come to close the cash book we must note that on the receipts side the total Discount col- umn is not to be extended into the Sundries column nor to be posted from this source, but is to be carried to the other side of the book; that the amount of Loss is not to be extended into the Sundries column, for it is included among the Shipments; and that before ruling up the page we must bring over from the opposite side the amount of Discount found there as a deduction from the bills which we have paid. On the disbursements side of the cash book we find a similar condition. Shipments is here debited for expenses incurred in sending goods away for sale on commission, and, as we have already seen, for the amount of gain as shown by the other side of the cash book. Consignments, on the other hand, represents the remittances or expenses incurred for goods which we have sold for others; and the amount indicated is here the full sum before commission has been SOME HIGHLY DEVELOPED TYPES 199 deducted, for this is the amount which must be deb- ited to the individual consignments even though a smaller sum was sent in cash. The next column is simply for the commission deducted on these remit- tances. The next is for sums paid on bills which we owe for merchandise purchased on our own account; and the amount is the full face of such bills; but in case we pay less than the face, the difference is shown in the next column. The expense column is self-explanatory to one who understands the ele- ments of special-column usage. In closing the credit side of the cash book, we must realize that some items are under this plan to be extended into the Sundries column and some are not. For instance, we have in the case of Consign- ments debited Consignments with the full face of the bill, credited Commission with the deduction, and extended the net amount of Cash into the Sundries column because it represents the net outgo. It is obvious, then, that we must not again extend into the Sundries column the footing of the Consignments column, for to do so would duplicate the expendi- tures on this score. The Commission item, on the other hand, does not even indirectly represent cash. It might have been treated as a deduction from the remittance on Consignments, just as the discounts are treated as a deduction from the amount to be paid to creditors, but as a matter of fact we have not so treated it here, and, therefore, must not enter it in any cash column either on this side of the book or on the other. This Commission total is nothing but a journal item which must be posted as a credit to that account. The other half of this item — that is. 200 ACCOUNTING AND AUDITING the debit to offset this credit — is included in the Con- signments, which again, it will be noted, is not a cash item at all, but merely a journal item to be posted directly without reference to the cash, for the amount of net cash in connection with it is entered in the Sundries column. The total of the Creditors column, however, is to be extended into the Sundries column, because we shall later offset the excess, here debited over the amount actually paid, by the transfer of the tot^l of the Discount column to the other side of the cash book. The Shipments total, including the gain brought from the other side, is, of course, extended into the Sundries column, for it represents actual cash paid out except for the item of $6.25, which is offset by a similar extension on the other side. The net result of all this apparent complexity is that Cash is debited more than it is credited by just the amount of net receipts, and that each other ac- count is debited or credited exactly as it should be. Any sceptic may easily prove the correctness of the cash : for he will find the actual receipts to be $973.00; the actual disbursements to be $795.60; and therefore the balance to be, as shown above, $177.40. The reader who is interested to get additional practice in the handling of these accoimts is recom- mended to make several changes so as to make a uni- form system out of the unsystematic form here shown. Here, for instance, discounts, both those subtracted from bills paid by customers and those subtracted from bills paid to creditors, are trans- ferred to the other side of the cash book in order to correct the overstatement of cash: but commissions, SOME HIGHLY DEVELOPED TYPES 201 which bear the same relation to Consignments that Discount does to Creditors and Customers, are not here entered upon the other side of the cash book; they are deducted directly from the Consignments and the result is extended into the Sundries column. It is good practice to alter the form shown above so as to provide uniformity — to treat Commission, for instance, as a contra item to go upon the other side of the cash book and be posted thence — as is done with Discount. When this has been done, it would be well to reverse the process ^nd treat Discount as Commission is here treated, so that discounts shall be deducted from the amount of the bills and only net cash shall reach the Sundries column. Another change that may be made here to advantage is to treat the Gain and Loss items independently of Cash,, as if they were journal items, and credit the Gain and debit the Loss directly, as Commission is cred- ited on the credit side of the cash book shown above. Care must be taken in that case not to neglect the Shipments portion of the entries. It is desirable al- ways to provide that whatever plan is followed in one part of a book shall be followed in other parts, and therefore if net amounts are to be extended into the Sundries column in one connection, they should be in all connections; or if contra items are to be used in one connection, they should be in all; or if any items not strictly Cash are posted as if they were journal items independent of Cash, all such items shall be so treated. Much opportunity for practice in this line is afforded by the forms given above. Those forms are not recommended as they stand, but they are serviceable when unified and simplified. 202 ACCOUNTING AND AUDITING It is worth while now to note certain bookkeeping devices which involve less a new principle than a modern development of an old principle. These are, primarily, to provide for small items or infrequent items which are not quite worth placing in a ledger account by themselves. The most obvious of these is the account com- monly called ^' Petty Cash." To insert in the ordi- nary cash book small items for telegrams, cleaning, extra newspapers, car fares, and things of that sort, would make considerable bother — especially if these items needed to be posted one by one to separate accounts. In highly developed lines of business, moreover, it is felt that for the purposes of auditing and making sure that all items are properly ac- counted for, it is well to make general payments wholly through the medium of checks drawn on banks. These small items, however, could hardly be provided for in this way. It is well, therefore, to keep in a ^^ petty cash book," so called, all items not paid by check, and to limit such expenditure to things of slight consequence. The method of han- dling the petty cash may vary with circumstances, but the most satisfactory seems to be what is called the ^ impressed system." Operations are begun by drawing a check for a lump sum which is supposed to supply the cashier with all the ready money he will need for petty payments during a considerable period of time. This is debited on the general cash book to Petty Cash. As the cashier makes payments from this sum he keeps a record on a subordinate book, or petty cash book, which, with a number of special columns, may classify the items according SOME HIGHLY DEVELOPED TYPES 203 to the accounts to which they are ultimately to be charged. When the cashier finds his supply of ready cash low, he requests from his superior a check for another sum. The amount of such check is the total expenses shown by the petty cash book at that time; so that the check drawn exactly re-establishes the original petty cash balance. On the general cash book this second sum is debited not to Petty Cash, but to the accounts for which the original petty cash was spent. The result of this method is that small sums are kept in the petty cash book until such time ' as it is worth while to enter them in lump sums on the general cash book and to meet them out of the bank balance; and the amount standing on the general ledger charged to Petty Cash represents at all times the amount for which the petty cashier is responsible — either the actual cash in the petty cash drawer or that sum plus expenditures which have not yet been entered on the general cash book. Another method of accomplishing the same result is to debit Petty Cash on the general cash book not only for the original check drawn for the petty cash drawer, but for all subsequent payments, and then at suitable intervals, by a journal entry, to debit the va- rious accounts for which petty cash has been spent and to credit Petty Cash. Whenever, then, all the petty cash book items have been entered in the ledger, through the journal, the petty cash account will show as a balance the actual amount that should be on hand. The advantage of the former method is that the check drawn for the replenishment of petty cash always agrees in amount with the expenditure entered on the general cash book for such petty cash 204 ACCOUNTING AND AUDITING payments. This, from the auditing point of view, is an advantage, for the amounts can be checked item bv item. >/ Another device for handling petty items is con- cerned with the ledger. In certain lines of business having but few relations with customers, such as gas companies, electric light companies, telephone com- panies, etc., which have usually debits to their. cus- tomers at regular intervals for certain common but not numerous items, the ledger may be arranged in horizontal form so that names appear at the left of the page and a series of separate columns across the page shows detailed charges for a month or a year or whatever period is convenient. By the provision of special columns for credits and for balances, the sum- mary of every account can be seen at a glance, and the addition of any column will show for the page the total of each kind of charge — such as telephone rent- als, telephone toUSj messenger service, etc. These totals may then be compared with the controlling account, which should represent all such customers, and with the nominal accounts which were credited when charges were made to custom^ers. Such a book is usually called a * tabular ledger." Sometimes an account is kept in the general ledger with so-called ^^ petty accounts." Here, in- stead of separate accounts with each individual who has few and slight dealings with the business, the items for all these individuals may be carried to one general account representing the lump sum — just as Customers is kept for the total of all details shown in a customers ledger, — and yet no individual ac- counts need be kept anywhere, even in a subordinate SOME HIGHLY DEVELOPED TYPES 205 ledger, with these separate individuals. The plan of such Petty Accounts is usually that whenever a debit or a credit is made to it (with a designation of the individual concerned instead of the account w^hich is the other half of the entry) the line on the opposite side is left vacant until that item is squared; so that although ordinarily on a ledger account the credit items would be placed one directly under another, regardless of any attempt to arrange them line by line opposite the debit items with which they corre- spond, on this Petty Accounts, if debits were usually made before credits, each credit would be placed opposite the corresponding debit, however many lines needed to be left blank on the credit side. This is illustrated by the form given below. Jan. 15 Jan. 27 Jan. 30 Feb. 3 PETTY ACCOUNTS 40 51 57 63 15 00 20 00 17 15 11154 Jan. 31 Feb. 10 John Nicholson Peter Ibbetson 51 20|00 Jan. 31 Peter Ibbetson John Halifax George Tressady 63 11)54 Feb. 10 George Tressady 102 20 We may now turn to something which is a sort of combination of Petty Accounts, as just indicated, a tabular ledger, and a controlling account. This is common in what is commonly called the ^^ voucher system'' of bookkeeping. Under this system, in its full form, a voucher is made out for every debt owed by the business, and when payment is made the pre- pared form is sent out with a request that it be signed and returned. The voucher itself is very little concerned with the books, however, and we may dis- regard its details. Indeed, the term 'Voucher" is used unfortunately in this system, for a voucher is really a proof that money has been paid; and the term is here used for bills to be paid as well as for 206 ACCOUNTINCt AND AUDITING bills paid. We are concerned onl}^ with the method of handling a large number of liabilitirs witliout opening separate accounts in the ledger for each firm owed. The foundation of the bookkeeping under this system is a voucher register. This is, in nature, very much like the accounts payable book described in Chapter V. That book, however, is often only an auxiliary book, and so is not used either to origi- nate postings or to receive postings. The voucher register contains usually in the first column the names of the firms or the corporations to whom pay- ments must be made for debts incurred. The second column contains the address of each. The third gives the number of the voucher to be used at the time of payment. Next will be shown the date of the bill for which payment is to be made, the terms of such payment, and the time when the bill is due. Next are columns for the date of payment and the method. The next column shows the amount to be paid, and may w^ell be headed ^^ Vouchers Payable, Cr." Then may follow a number of columns for ac- counts which are to be ultimately debited for the debt incurred. If, for instance, the business is that of a department store, a column will be provided for each department, and when an advertising bill amounting to $25 comes in, it will be entered at once and per- haps $5 of that will be entered in a special column to be debited to the hosiery department, $10 in an- other column for the shoe department, and $10 in a third column for the lace department. Entries are made in this register as soon as bills are received and irrespective of the time when payment is to be made. No other credit than this is given on the books for SOME HIGHLY DEVELOPED TYPES 201' the firms to whom x)a7ment is to be made. The post- ing is made to one general account representing the whole mass of such debts. This is usually called ^* Vouchers Payable." Under this plan, then, the amount of all debts which have not separate accounts in the ledger is shown as the total of this Vouchers Payable column in the voucher register, and the amount due to any particular firm is shown by the details opposite the items bearing its name. At the end of each day, w^eek, or month, the items may be got upon the general ledger by simply debiting the departmental accounts for the amount indicated for each in the separate columns in the register and cred- iting Vouchers Payable for the total. Whenever payments are made in settlement of any of these debts, of course, Vouchers Payable is debited, and Cash is credited, on the cash book. At the same time, in the vouchers payable register the columns for the date of payment and the method of payment are filled in. The balance of Vouchers Payable in the general ledger should always agree, of course,^ with the amount show^n in the register and not indi- cated as paid; for as Vouchers Payable has been credited for all debts (by the voucher register) and has been debited for all payments (by the cash book), the balance is the amount still unpaid. This handling of vouchers payable is serviceable, of course, m.ainly for dealings with firms who have rather infrequent relations with the business; for since all the items are handled individually assump- tion is always made that each bill will be paid by itself and will not be combined with others in a set- tlement of the lump. If there is outstanding more 308 ACCOUNTING AND AUDITING than one debt with any firm at the same time, there is under this system no way of finding the total obli- gation to that firm except by going through the reg- ister and discovering that there are several items due to it. In other words, under this vouchers payable system there is no indexing, and the possibility of indexing, as we saw long ago, is one of the chief ad- vantages of a ledger. Often the managers of a business wish to withhold from their bookkeepers information about its inner relations. This can be accomplished by providing a separate private set of books — but without duplica- ting labor. Indeed, comparatively few kinds of trans- actions need to be known to the general bookkeepers. The numerous transactions, which require much labor for entry, are purchases, or manufacturing, sales, payments for purchases, collections from sales, and payments for expense. These, of course, the general bookkeepers will enter on the books. Investment of capital, borrowings, salaries of managers, division of profits among partners, payments of interest, taxes, and numerous other items, however, are usually so infrequent that entries for them may be made by a proprietor or confidential bookkeeper in the private cash book, private journal, and private ledger. Such an arrangement, moreover, does not preclude the pos- sibility of a trial balance for the general ledger or for the private ledger. The device of a controlling account makes possible the complete separation of these two sets of books without robbing either set of any desirable figures. The method may be summarized briefly. On the general books any items of assets received from SOME HIGHLY DEVELOPED TYPES S09 sources not shown on the general ledger are credited to an account called ^* Private Ledger." The details show on the private ledger — as details of Accounts Receivable show on the sales ledger. When cash is received, the general bookkeepers need not know whether it comes from investment of partners, from loans, or from conversion of other assets not known to them. Similarly, any outgo to destinations not indicated on the general ledger is debited to Private Ledger ; and no one, unless he has access to the pri- vate ledger or to checks drawn, can know whether such outgo is for interest on loans, for partners' sal- aries, for payment on debts, for partners' withdrawal of capital, for payment of expenses, or for partners' withdrawal of profits. The private books, however, show all details. If a separate bank account is kept for the private transactions, moreover, private re- ceipts and pajonents need not appear on the general books even for the controlling account — except when transfers are made from the private bank account to the general, or vice versa. The general books need not be complete. They must balance, of course, but all matters not of concern to the general bookkeepers are lumped in the private ledger account. A big real estate purchase, for example, would involve a debit to Real Estate and a credit to Cash in the private books ; but since it does not affect anything that con- cerns the general books, it does not affect even the pri- vate ledger account in the general ledger. The private books, on the other hand, may show the summary of the whole business, and therefore may include all transactions of the general books, or they may show only net results. In the latter case, A & A-14 m ACCOtTNTING AND AUDITING the private ledger may have an account entitled '* Gen- eral Ledger" to serve as an explanation when items are taken over from the general books into the private books. A trial balance is then possible for the private books without the details of the general books. If in making up the private trial balance, moreover, the bookkeeper substitutes the individual items on the general trial balance for his own General Ledger ac- count, the trial balance of the private ledger will be complete for the business as a whole. If, on the other hand, it is desired to show on the private ledger itself a summary of the accounts on the general ledger (in- stead of an adjustment account as just described), the totals of general books may be posted directly to the private ledger as well as to the general ledger ; so that the total of the purchase book, for illustration, will be posted as a debit to Purchases and a credit to Ac- counts Payable in both books. It is likely to be sim- pler, however, to carry to the private books only items which affect private accounts, making adjustment through the account called *^ General Ledger," as pre- viously described, and to use the general-ledger trial balance for ascertaining details. This device for the separation of private and gen- eral matters is capable of many variations; but it makes possible the employment of an army of book- keepers without opening one's affairs to common knowledge. If inventories are kept private, even a knowledge of both purchases and sales fails to disclose gross profits, and net profits are still further removed from disclosure. Another interesting use of a controlling account is in connection with business transacted in foreign cur- SOME HIGHLY, DEVELOPED TYPES M rencies. If a pound sterling were always equivalent to the same sum in dollars and cents, it would matter little if all such foreign items were converted imme- diately into American figures ; but rates of exchange are constantly changing, and the price actually paid for goods bought or sold abroad may not agree with the nominal equivalent of the bill. It is desirable, moreover, that the books of buyer and seller shall agree. It is customary when bills are expressed in foreign currency, therefore, to keep separate pur- chase or sales books and purchase or sales ledgers for foreign trade and keep them in the original cur- rency. Since the amounts must be included in the general books, however, and in American currency, a controlling account is kept in the general ledger, and the amount is shown in both currencies — that is, the ruling provides two sets of money columns. When goods are bought, therefore, they are credited in the foreign purchase book and the foreign purchase ledger at the foreign price ; when the total is carried to the controlling account the amount is converted into American currency at the nominal exchange rate (say $4,86 2/3 for a pound sterling), and both amounts are posted to the general ledger. When payments are made, on the other hand, the control- ling account is debited in American currency for the amount actually paid for the bill of exchange, the posting to the general ledger is not only for the amount actually paid in American currency, but for the aniount of foreign currency which the bill ac- tually covers, and the posting in the foreign pur- chase ledger is for the amount of foreign currency vemitted. This device allows the books to show at ^1^ ACCOUNTING AND AUDITING all times the balance due in foreign currency — not only on the subordinate ledger, but also on the gen- eral ledger, — the actual cost of remittances as com- pared with the nominal equivalent, and hence, of course, the profit or loss on exchange. As often as desired, the controlling account. may be closed; then the difference between the nominal exchange figure, for paid bills and the amount actually paid on them will be transferred to Profit and Loss. CHAPTER Vm THE PECULIAEITIES OF COEPORATION ACCOUNTS In the accounting of corporations certain features are unlike anything that is possible under a single proprietorship or a partnership. It is well at this point to study these with some care, for most busi- ness operations are nowadays carried on under cor- porate ownership. Among accounts peculiar to corporations is Divi- dends. This is of use, of course, only where there is an issue of capital stock. The method of distributing profits in a corporation is to carry to Dividends the amount of profits which the directors have voted to distribute, and to enter it, of course, as a credit; for since the profits must stand on the credit side of the profit and loss account, and this amoimt is simply transferred to Dividends, it must appear on the same side. A simple journal entry debits Profit and Loss and credits Dividends — explaining, of course, why the entry is made. Dividends are, of course, a lia- bility of the corporation until they are paid. When they are paid. Dividends is debited. Cash is credited, and so the dividend account is balanced. The most important distinction between the ac- counts of single proprietorships and partnerships, on one hand, and corporations, on the other, lies in the capital stock account. This is always merely a con- trolling account and represents the lump sum of the 213 214 ACCOUNTING AND AUDITING holdings of all stockholders. It is obviously unneces- sary to enter on the general ledger the names and shares of individual stockholders, for each share of stock is represented by a certificate held by the owner and sufficiently indicating his title. One cer- tificate may cover all the holdings of one person, and, therefore, may cover many shares; but it is possible for one person to have many certificates, each for a small lot of shares, so that he may sell a part of his holding without affecting the rest. In order to keep run of the holdings of stock, so that the corporation may know not only who is entitled to vote and to whom dividends should be paid, but also on whom calls may be issued for assessments in case any are necessary, a stock ledger or stockholders' ledger is kept to indicate exactly wh^t is the holding of each person. This is purely a subordinate ledger. The total credit balance of the individual stockholders' accounts in the stock ledger must agree, of course, with the total credit of the capital stock account in the general ledger. The process by which the credits to individual stockholders are established is in many cases inter- esting. If the total capital stock of a corporation were issued at once and the full amount of cash were received immediately in return, the bookkeeping would be simply a debit to Cash, and a credit to Capi- tal Stock, for that amount. This, however, is not the common operation. Usually new stock may be paid for by installments; often the amount to be paid is either more or less than the par value; stock is often issued, moreover, in return for property, or in payment for a business bought outright by the corpo- COEPORATIOK ACCOUNTS 215 ration. We have sometimes to provide, then, for in- stallment subscriptions, sometimes for premium or discount, and sometimes for the transfer of property and good will. All three of these complications, in- deed, may arise in connection with one issue. They must, therefore, be examined in some detail. Let us take first the issue of stock on installments in cases where the full face value is ultimately to be paid. In order to keep run of the amount paid on each installment, it is desirable in this sort of case to open in the general ledger an account with each of the installments. Let us suppose that 1,000 shares of stock are to be issued at $100 a share, and that payment is to be made in four equal installments. The stock itself cannot be issued until all install- ments have been paid, and it is undesirable to enter on the books a credit to Capital Stock until the stock is actually issued; and yet we must make some credit to o:ffset the debits for the installment subscriptions which, as promises to pay sums to the business, are assets similar in nature to bills receivable. Since the promise of the business to deliver stock, when all installments are paid, has created the possibility of these subscriptions, an account for stock subscribed is credited. The common entry when these subscrip- tions are received, then, is as follows : Installment Subscription No. 1 25,000 Installment Subscription No. 2 25,000 Installment Subscription No. 3 25,000 Installment Subscription No. 4 25,000 To Stock Subscribed 100,000 An additional advantage in this Stock Subscribed is that since Qs^ve must be taken that not more capital 216 ACCOUNTING AND AUDITING stock is promised to be issued than is authorized by law, it is desirable to know what amount is already pledged. The difference between this and the sum authorized is available for further subscription or for issue by some other method. Only by establishing this account is it possible, without much hunting through the books, to show properly just what is the margin of unpledged stock. Some bookkeepers in such a case credit Capital Stock directly for the amount subscribed and then by a new entry debit Treasury Stock and credit Unsubscribed Stock for the balance unpledged. This is misleading, for, as will be shown later, the term * treasury stock" should be reserved for another sort of thing. When one of these installments is paid the entry is simple: Cash 25,000 To Installment Subscription No. 1 25,000 When all these have been paid, so that Cash is deb- ited for the full value of the stock and the install- ment accounts are closed, the stock itself must be issued. The entry for the issue will be as follows : Stock Subscribed 100,000 To Capital Stock 100,000 This entry balances Stock Subscribed, and the net result of all the entries is a debit to Cash and a credit to Capital Stock^ — which is, as we have seen, .just what the entry would have been if all the capital stock had been issued in a lump sum for cash. A complication arises in the handling of these installment subscriptions in case transfers are made before stock is fully paid. It may happen that a CORPORATION ACCOUNTS 217 subscriber desires to surrender his subscription to another, or to purchase another's right to stock. In that case he is not only selling a right, but is trans- ferring to another an obligation; for he is not only selling the right to receive stock, but is transferring an obligation to pay the unpaid portion of the sub- scription. On the books of the corporation it is nec- essary to show, then, for each installment, just what portion has been paid, and, when any transfer is made, just how much obligation is taken by the pur- chaser of the right. This is done on an installment ledger. On the next page will be found a convenient form 218 ACCOUNTING AND AUDITING I? (N CO rHco 2 o _^ _^ 1^^ ® C<1COOOI>. r-( rHCO •T3 „ g TSaQ PhoqQPh gg 1 1= = 1 10,000 3,750 1,875 1,875 6^ cocoes QIC ir lo 1—1 S3 OiC(MC0 S - rt, iC »o o p COKPORATION ACCOUNTS 219 It is necessary to note, before one can under- stand this installment ledger, that whenever a right is transferred a new certificate must be issued, and in this case the certificate is not for ownership of capital stock, but is simply a receipt for the payment of a certain proportion of the full subscription. If a man sells all his holdings, he will simply surrender the old certificate and request that a new one be issued to the new holder. If, however, he transfers only a portion of his holdings, the old certificate must be surrendered and tw^o new ones issued in its place, one of which will then be transferred to the pur- chaser. The explanation on the installment ledger in connection with all such transfers should indicate, therefore, the surrender of the old certificate on the credit side and the issue of the two new ones on the debit side; then on the credit side will be indicated the surrender of one of the new certificates to the purchaser. On the credit side of this ledger, there- fore, two sets of columns will be necessary; one of these will show the actual payment of installments, which, of course, will be each for a certain percent- age — say twenty-five per cent. — of the total amount subscribed; and the other will show the surrender of shares partially paid. In the account shown above, the subscription is recorded as of February 15; on March 1 the first installment of 25% is paid; on March 15 a subscription of 50 shares, made by John Brown, on which the first installment has already been paid, is transferred to this account; on March 20, 25 shares are sold to David Grieve, by exchanging certificate No. 13 for two certificates and transfer- ring one of them; on April 1, the second installment 220 ACCOUNTING AND AUDITING is paid on all subscriptions now belonging to this account. At all times a balance of the total debits and credits, in dollars and cents, shown on any in- stallment account will indicate the balance still un- paid, and a balance of the debit and credit shares will show the number of shares on which the person is still responsible to make payment. In the case above, for instance, a balance struck on April 2 will show liability for 200 shares and $17,500, and credit for 75 shares and $11,250, or a balance of 125 shares and $6,250, — which is as it should be, for it is 50% on 125 shares. The stock ledger is of similar form except that it needs no provision for the payment of installments. The balance of the stock ledger, however, will always be upon the credit side, for the stockholder has en- trusted property to the business; whereas the bal- ance of the installment ledger will always be on the debit side, for until the subscriber has made full payment, he is still responsible to the corporation on account of his promise. If the stock is issued in payment for a business taken over by the corporation, the entries will not necessarily be very different, but they may require an allowance of the difference between the present worth of the old business, as shown by the books, and the amount of stock to be issued in payment for it. If, for instance, the corporation is to succeed to an old business, and will continue with the same books -^as it naturally will do if it takes over all the prop- erty and assumes all the debts, — ^it may give in capi- tal stock considerably more than the present worth of the old business as shown by the balance sheet ; for CORPORATIOiSr ACCOUNTS tn the old business may have such high earnings that it is worth a premium. It is not customary in the books of a proprietorship to write up the value of the assets merely because they happen to produce large earn- ings. If the net assets of such a business are $100,000 and the net profits are $15,000 a year, this business is regularly earning fifteen per cent., and, if taken over by a corporation, its proprietors would probably re- ceive more than $100,000 in capital stock; for a cor- poration would hardly desire, usually, to pay an an- nual dividend of fifteen per cent. Capital stock would be issued of such an amount as to produce a dividend of possibly seven and a half per cent. In that case, if it were assumed that under the corporation the business would earn as much as previously, the cap- italization of the old business would be put at $200,- 000, for seven and a half per cent, on $200,000 w^ould equal the $15,000 expected as an earning. If this business were to be taken over by a corporation al- ready engaged in operations, and it had been the previous experience of this corporation that it could pay seven and a half per cent, dividends, the owners of the business now taken over would hardly be will- ing to make a sale unless they could be guaranteed practically as high profits as they had been receiving in the past, and, therefore, on the assumption that the corporation would not pay more than seven and a half per cent, dividends, they could exact, from those who wished to buy them out, capital stock to the amount of $200,000. It is actually true in this case that w^hat is called the ^^good will" of the busi- ness is $100,000; for since the present value of its tangible assets is only $100,000, and yet its earnings m ACCOUNT^IKG AISTD AtTDITINO are equivalent to seven and a half per cent, on $200,- 000, the extra $100,000 — due to the excess of profits over the normal rate on its investment — represents the value of its superior organization or its reputa- tion, and any corporation taking over this enterprise can afford to pay $100,000 for the right to use its name and privileges with customers who have been accustomed to buy of it, with dealers who have sold it goods and granted it credit, with the labor which it has employed, and with others who may help to util- ize what it has built up in the past. We must, then, if we are going to transfer to the corporation the books of the firm, bring up the assets to $200,000 in order that when the stock is issued the assets sur- rendered may exactly offset it. The method would be simply to debit Good Will $100,000 and credit the proprietors; for this amount, though real, has not been previously entered to their credit; the valua- tions have not been based upon earning capacity, as it is now desired that they shall be, but upon cost. When we have made this entry, the proprietors stand credited with $200,000, for their previous net credit was $100,000. When stock is issued to them, on the transfer of their title to the business, another entry will debit the proprietors and credit Capital Stock for $200,000. This will balance the proprietors' ac- counts and show that they have no further interest, as individuals, in the business. Their portion of the business is simply that of stockholders holding two thousand shares. Then entries may be made in the books exactly as if no transfer had been made to the corporation; for the assets including the good will CORtOBATION ACCOUNTS M are now the assets of the corporation-, and its liabili- ties are the liabilities of the corporation. We come now to the situation when stock is sold for more or less than par. It is obvious that if shares of stock with a par value of $100 are sold for $125 in cash, this amount of cash realized is capital just as much as if the $125 had been invested by a proprie- tor. In no sense can this extra $25 be considered profit to the corporation, for the $25 is just as much invested property, which the corporation may use in operations to get profits, as is the $100 which is rep- resented in the par value of the stock. A stockholder who has bought stock at par and sells it for $25 pre- mium is, of course, making that $25 as profit, but with that the corporation has nothing to do; and we are concerned only with the premium which the cor- poration itself receives on stock issued by itself at more than par. In a single proprietorship or a part- nership this premium, or its equivalent, would be car- ried to the credit of the partners' accounts, but since in a corporation we have no partners' accounts and can represent proprietors' shares only in the capital stock account at par, we must indicate the premium in this case as an additional sum belonging to stock- holders but not represented on the face of the shares of capital stock issued. Surplus, as we have already seen, is nothing but an undivided portion of capital, and it is quite as much so when it consists of original investment paid in by stockholders as when it con- sists of accumulated profits from the operations of the business. National banks are by law required to establish a surplus of twenty per cent, of their capi- tal stock, and the law prescribes that out of each %U ACCOUNTING AND AUDITING year's earnings a certain percentage shall be laid aside and placed in the surplus until this required twenty per cent, has been accumulated; but many banks begin business with a surplus already on hand through the medium of stock issued originally at a premium. When, therefore, stock is issued at a pre- mium, we have not only to carry it to Surplus, but to do so under a name that will show that it must not be distributed as profits. A simple entry covers the sit- uation, as follows: Cask 125,000 To Capital Stock 100,000 Capital Surplus 25,000 The situation would not be materially altered if the cash were collected in installments, and not in one lump sum as here indicated. If, for instance, the stock were to be paid for by five installments, the entry would read: Installment Subscription No. Installment Subscription No. Installment Subscription No. Installment Subscription No. Installment Subscription No. To Stock Subscribed Capital Surplus When all such installments are paid, the entry will be, as before, Stock Subscribed 100,000 To Capital Stock 100,000 This closes out Stock Subscribed. When stock is sold at a discount a somewhat dif- ferent situation is to be faced. Under the law if stockholders have not paid the full value of their 1 25,000 2 25,000 3 25,000 4 25,000 5 25,000 100,000 25,000 CORPORATION ACCOUNTS 225 stock they may be legally held liable for the debts of the corporation up to the amount of the unpaid portion of their subscriptions. If, therefore, capital stock is issued by the corporation at less than par, a liability still stands against each stockholder for the deficiency in his subscription, and if the corporation goes into insolvency he must pay. Usually stock- holders do not desire such a liability to stand against them, and, consequently, they endeavor to make the stock fully paid. Unfortunately, many organizers of corporations attempt to do this by falsification upon the books, but sometimes the process is legitimate, as we shall see. The desire is to provide that the stock issued shall be represented upon the books either truly or fictitiously as fully paid, and yet to make it possible to sell stock at a discount. The method of doing this is commonly for the organizers of the com- pany to issue stock to' themselves at par in return for assets which they surrender to it, and then to donate some of that stock back to the corporation. On the books, therefore, the capital stock appears to have been once fully paid, because it was given in ex- change for assets; and since it was donated to the corporation and has cost the corporation nothing, it may now, once fully paid up, be even given away by the corporation if the directors find good reason for so disposing of it, or — and this is the desired thing — it may be sold at a discount. In such a case it is ob- vious that if the corporation goes into insolvency and the creditors can show that the stock was originally issued on a fictitious valuation of property, the stock- holders are still liable for the deficiency. The ad- vantage of this method, from the point of view of the ▲ ik A-ii 226 ACCOUNTING AND AUDITING dishonest organizer, is that the burden of proof is placed upon the creditor; for unless he can prove the overvaluation of assets, the books, showing that full value was given, defend the stockholder against as- sessment. Under some circumstances there may be a dona- tion of stock to the corporation when absolutely no taint of fraud attaches to it. If, for instance, the organizers are satisfied that the property which they hold is absolutely good and is sure to bring in large earnings, but know that they can hardly convince others of the value of this property, they realize that others will buy the stock in the corporation only at a discount. They may then issue stock at the equiva- lent of what they know to be the actual value of the property and donate some of it back to the corpora- tion to enable the corporation to sell it at a discount; for, as we have already seen, if the stock has once been fully paid, it may be sold at any reasonable price without liability for assessment. (The national bank law, however, makes stockholders liable for an as- sessment equal to the par value of their stock, in case of insolvency, even when the full par value has once been paid.) It may at first seem as if it would be as well for the original subscribers in such a case to take their stock at a premium, say at 125 — so that they would get eight shares for a thousand dollars — as to take it at par and then donate some of it — say two shares — ^back to the company; for then the company would have unsubscribed shares available for it to sell without increasing its capitalization. That would be true if stock could be sold at par; but the purpose of this public sale of stock is to raise working capital, CORPORATION ACCOUNTS 227 and the stock must be sold for what it will bring. Those who have faith in the business must induce others to subscribe, and it is a fact of human nature that men look for low prices — even when the value is exactly proportionate to the price. Even though it were true that the profits would be just in propor- tion to the capital, so that a man could as well af- ford to pay par (and get eight per cent, dividend on his stock) as to pay 75 (and get six per cent.), he would be more likely to buy at 75 than at par. For practical reasons, therefore, this method of making stock not only legally but actually fully paid is some- times worth while. This is the only honest method of providing for the original sale of stock at a dis- count. Stock is sometimes sold by outsiders at a discount when it has not ever been actually sold at par; but in such cases it was originally issued in re- turn for what were ostensibly adequate services ren- dered — such as fees for promotion, for underwriting or guaranteeing the sale of bonds or stock. Some of these transactions in the past have been open to grave suspicion as devices to evade the law, but unfortu- nately the burden of proof is laid on the objector. The tendency nowadays is to hold corporations more strictly responsible for their acts; for the community is coming to realize that as stockholders are relieved from some responsibilities which attach to partners, they must, in compensation, be held strictly respon- sible for fulfilling other duties falling on them. The entries for stock sold at a discount are inter- esting. The proper bookkeeping term to indicate stock which has once been fully paid and, therefore, belongs to the corporation to treat as it pleases, is 228 ACCOUNTING AND AUDITING 'treasury stock." This term, however, may include stock which the corporation has itself purchased in the market from its own issue, as well as stock do- nated to it. It seems preferable, therefore, in the case of a donation of stock, to use the title '* Donated Stock, ' ' for then there can be no question as to origin. Let us suppose that a corporation, with stock issued at $100,000, in exchange for a business actually or fictitiously valued at $100,000, receives back from its stockholders $20,000 of that stock, to be sold for the benefit of the treasury — that is, as a means of raising so-called working capital, read}^ money to supply it with the means of hiring labor, buying materials, etc. The original entry would have read, possibly, Real Estate 25,000 Machinery 25,000 Supplies 25,000 Accounts Eeceivable 25,000 To Capital Stock 100,000 It is obvious that, at the time of the donation, Donated Stock must be debited and something must be credited. As the donation is out of a clear sky, so to speak, an account on the other side must be established to indicate the fact that this surplus has arisen neither from the ordinary course of business nor from investment. Some bookkeepers would un- questioningly credit Surplus in the ordinary way; but it is desirable, if we are going to have our books represent the truth, as they always should do, to indi- cate that this surplus is of unusual origin. This can be done by the following entry : Donated Stock 20,000 T^ Donated Surplus 20,000 GORPOEATIOIS^ AC€OUNTS 339 This donated stock may now be sold, as we have seen, at any figure which can be got for it. We will assume it in this case to sell at $75 a share. Our entry will then be as follows: Cash 15,000 Donated Surplus 5,000 To Donated Stock 20,000 It is obvious that, since we originally credited Do- nated Surplus for the full amount of stock donated, and then we failed to realize the par value when it was sold, we must debit that account for the differ- ence. It is better to enter the donated stock and the donated surplus originally at the par value, even though we know that par value will not be received, than to enter it at the estimated selling price; for it is desirable that so long as we have any donated or treasury stock on hand it shall appear on the books at par value as an indication of the nominal amount in the possession of the corporation. It may be worth while in such a case to open an account with Stock Discount and debit that account instead of Donated Surplus for the amount of discount, for if we wish a record on our books of the actual amount of discounts suffered, we should keep such discounts in an account by themselves. When all the stock is issued. Stock Discount may be closed out into Donated Surplus, re- ducing it to the amount actually realized on the dona- tions. Donated Surplus may then be transferred in turn to Capital Surplus. By this method all the steps in the stock issue are shown clearly, and the net re- sult is summarized in one account. One other complication of the situation arises when 230 ACCOUNTING AND AUDITING stock has been subscribed for on the installment plan and some subscription is later defaulted. It is com- mon to provide when installment subscriptions are received that if any sum subscribed for is unpaid after a certain date the subscriber shall forfeit not only his right to the stock but even to the return of the amount already paid on installments. In such a case, if any sums have been paid — and corporations usually require that a certain sum shall be paid at the time of subscription — this amount paid is a clear gain to the corporation. It is not a gain, however, in the sense of profits, for profits ought to be con- sidered as only sums realized from the operation of the business. This gain is in a sense investment, but it represents investment for which the business is not responsible to the particular person who made the investment. Properly, such gain should be con- sidered as surplus, similar to surplus created by a subscription to stock at more than par. It is obvious, too, that when any sums have been forfeited to the corporation on failure to meet subscriptions, these sums have actually been paid on account of capital stock to be issued, and, therefore, by so much make it possible for the corporation to sell stock at less than par. Although the law requires that all stock shall have been fully paid, it does not require that stock shall have been fully paid by the purchaser; since the only concern of the stockholder is that the corporation shall have received full payment from someone, any sums paid and forfeited by one person may be utilized to complete the payment for stock delivered to another. Forfeited payments, then, are equivalent to a payment for that many dollars' CORPORATION ACCOUNTS 231 worth of treasury stock which the corporation may dispose of at its own terms. A proper method of entry when it is found that any installments have been forfeited is to carry the amount of forfeiture to Treasury Stock and indicate that a certain number of shares are by that amount fully paid. Suppose, for instance, the corporation calls for installments at twenty-five per cent., and after two installments have been paid on a one-hundred share subscription finds the rest defaulted. The corporation has then collected on these shares $5,000, and $5,000 remains to be paid. The entry for the forfeiture would be as follows : Treasury Stock 5,000 Stock Subscribed 5,000 To Installment Subscription No. 3 2,500 Installment Subscription No. 4 2,500 Capital Surplus 5,000 The Treasury Stock is debited $5,000 because this amount is available for the corporation to put to its own uses as once fully paid, and the gain is credited as a surplus. Stock Subscribed is debited $5,000 be- cause, of the original subscription of $10,000 once credited to Stock Subscribed, one half is now can- celled. The other half, now pledged to the treasury, must be left in Stock Subscribed to prevent an over- issue. The credits to the installments, of course, simply wipe out the installment accounts previously debited and now cancelled. It would be possible to debit Treasury Stock for the full $10,000 if we could properly indicate that only one half of that stock had been paid, and that it must be sold for not less than $50 a share. The difficulty would be in making 2«2 ACCOUNTING AND AUDITING v such an indication without too much complication, and in avoiding over-issue or under-issue. The simplest method is to treat the $5,000 paid and for- feited as if it were full payment on one half the num- ber of shares ; then the corporation may do as it likes with that half and may call for subscriptions from outside for the other half. If, indeed, the corpora- tion concludes to sell the one hundred forfeited shares for $50 a share, it may still do so, for it may on its books enter — what is practically the fact — a subscription for fifty shares at par, with a bonus of the other fifty shares of treasury stock thrown in. This is equivalent to having a new subscriber take up the subscription of the old and pay the two re- maining installments. In that case the entry will be as follows: Capital Surplus 5,000 Subscription Installment No. 3 2,500 Subscription Installment No. 4 2,500 To Stock Subscribed 5,000 Treasury Stock Subscribed 5,000 This entry, of course, reverses the last entry and puts everything back where it was before the for- feiture except for the fat^t that the Treasury Stock is now pledged (though it is still in the possession of the company) ; and, as a matter of fact, everything is as it was before the forfeiture except for the fact that the person who is to pay the installments is different. On the actual final total issue of stock. Stock Subscribed will be debited and Capital Stock will be credited. Treasury Stock Subscribed will be debited and Treasury Stock will be credited; the re- CORPORATION ACCOUNTS 333 suit will be a cancellation of all items but Cash and Capital Stock. The only complication remaining is that arising when shares subscribed for by installments at a pre- mium or at a discount are forfeited. Here the entry for forfeiture must take into account the fact that surplus or discount is affected at the time of the for- feiture, for surplus or discount was concerned in the original subscription. Suppose the original subscription was for 100 shares at 120, to be payable in six installments. The original entry would have debited six installment accounts each for $2,000, would have credited Stock Subscribed for $10,000, and Capital Surplus, or Premium Surplus, for $2,000. On the payment of two installments. Cash would have been debited for $4,000, and two installment accounts would have been closed. On the present forfeiture of the remainder of the right, it will be necessary in the first place to debit Stock Subscribed $6,000, because three $2,000 installments of par value are no longer pledged, and to debit Capital Surplus $2,000, because the amount of premium surplus previously promised is now known not to be collectible. The calculation of these amounts is a little complicated because our debit to Stock Subscribed, which must cancel the unpaid por- tion of the par value, is based not on the payment of two installments of the original six (leaving four to cancel), but on the payment of two out of five of the original six (leaving three to cancel) ; for one of the original six was not for par value, but for premiiun. If, on the other hand, we had made our original entry in such form that the premium as well ajs the 234 ACCOUNTING AND AUDITING par value was divided into installments, we should have had a larger number of items on the books but an easier method of determining the exact nature of the various installments. In such a case, our original entry would have debited six subscription install- ment accounts each for $1,666.66§, and six pre- mium installment accounts each for $333.33J. The credits would have been the same as before. Then when any installment of $2,000 was paid we should have debited Cash and credited not only a subscrip- tion installment account but also a premium in- stallment account. Whenever a forfeiture occurred, therefore, the books w^ould have shown at once just how much had been collected on subscription install- ments, and the uncollected balance would need to be debited to Stock Subscribed and credited to the subscription installment accounts as no longer a pledge of stock to be issued. A similar debit to Capital Surplus and credit to premium installment accounts would have properly removed from the books the asset consisting of the promise to pay premium. In ultimate result, therefore, we should have got the same results as here by more entries; but the advantage would have been an easier de- termination of just how much debit to make to Stock Subscribed at the time of the forfeiture. Under either method the debit to Stock Subscribed wiU show how much stock previously pledged for a sub- scription is now free. Next a debit to Treasury Stock must show the amount of paid-up stock for- feited to the treasury, and the credit to Capital Sur- plus wiU show the gain to the corporation from the forfeiture. The full entry for the forfeiture, when 6,000 2,000 4,000 3 4 2,000 2,000 5 6 2,000 2,000 COKPOEATION ACCOUNTS 235 the installments were not originally divided between par and premium, will be as follows: Treasury Stock 4,000 Stock Subscribed Capital Surplus To Capital Surplus Installment Subscription No. Installment Subscription No. Installment Subscription No. Installment Subscription No. This entry gives us both a debit and a credit to Capital Surplus. It would be possible to combine these and show a net credit of $2,000; but in order here to show the origin of each they are given sep- arately. The debit of $2,000 is to offset and cancel expected gain from the promise of the stockholder to pay $2,000 premium, for that promise is no longer binding; but the credit is due to the fact that he has already paid into the corporation $4,000 in install- ments, which is now forfeited and is, consequently, to be carried to Capital Surplus. The net result is greater fortune to the corporation than if the stock had never been subscribed for — provided it can still find a customer for the stock at higher than 80 ; for though it has lost this subscriber's promise to pay $20 premium, it has collected from him $40 in cash without expense to itself. If, on the other hand, this subscription, now de- faulted after two payments, had been originally for treasury stock to be taken at 80 and paid for by four installments, we should have had a somewhat differ- ent appearance on the books. The original entry would have been a debit to four accounts of Treasury Stock Subscription Installments at $2,000 each and 336 ACCOUNTING AND AUDITING one debit to Discount on Stock (or to Capital Sur- plus), and a credit to Treasury Stock Subscribed of $10,000. On the payment of two installments, two of these treasury stock subscriptions would have been credited and Cash would have been debited. On the forfeiture, it would be necessary to debit Treasury Stock Subscribed the full $10,000, for none of such stock is now pledged, and the amount of original stock pledged was properly indicated originally when this stock just forfeited was first put into the treasury. At the same time, a credit must be given to the third and fourth treasury stock subscription installments, for they have been cancelled; a credit must be given to Discount on Stock (or Capital Sur- plus) to offset the debit made at the time this treas- ury stock was subscribed for at 80 — for the item is at present cancelled and no one knows at what price this stock will ultimately be sold; finally, since from this transaction — that is, collecting two sub- scription installments — the company has gained $4,000, Capital Surplus must be credited by this amount. These credits exactly offset the debit to Treasury Stock Subscribed. In this case no debit needs to be made to Treasury Stock, for since the treasury stock was never actually issued — ^because the installments were not paid — this account was never credited, but shows that the stock still remains in the possession of the treasury. The full entry fol- lows: Treasury Stock Subscribed 10,000 To Treasury Stock Subscription No. 3 2,000 Treasury Stock Subscription No. 4 2,000 Discount on Stock 2,000 Capital Surplus 4,000 COEPORATION ACCOUNTS 237 If no separate account has been opened for Dis- count on Stock, Capital Surplus will have a credit of $6,000. This replaces the $2,000 taken out of this account at the time the stock was thought to have been sold at a discount, and adds the $4,000 gained on this forfeiture. The attention given here to these last transac- tions is out of proportion to the importance of the subject in itself, but is justified by the opportunity offered for the illustration not only of bookkeeping principles, but of the accounting principle which wisely distinguishes between things which though a good deal alike in appearance and in name are far different in real meaning. * CHAPTER IX PROPERTY OR EXPENSE? We have been discussing the principles of book- keeping and have found that if only debit and credit are properly distinguished, if items are carried to the proper accounts, and if, in spite of a multiplicity of special columns and special forms, the complica- tions do not lead to the omission or duplication of items, our books are bound to be correct. We have been handling certain accounting problems on our way, but these have arisen only incidentally, as ma- terial for bookkeeping solutions. We may now turn to accounting pure and simple and assume that the bookkeeping will take care of itself; for, as has been indicated before, the task of the accountant is to learn what is the real nature of a transaction — either before an entry, so that the bookkeeper may know what facts to enter, or after all entries have been made, so that the manager may know the meaning of the facts that the books disclose. If, for instance, we make certain expenditure on our real estate, it may be a difficult task to determine whether the charge should be made to Real Estate or to Repairs. If the real value of our property has been increased, we ought to indicate on the books that there is a greater value remaining in the property and should therefore debit Real Estate. If the expenditure 239 240 ACCOUNTING AND AUDITING does not increase the real value, it should be charged to Repairs — that is, to an account which is merely nominal and explains the loss of funds. This dis- tinction between real and nominal accounts is funda- mental and lies at the basis of most problems of ac- counting. It applies not only in making original charges for expenditure, but quite as much in de- termining, at the end of any earning period when we close our books, how much property originally charged shall be still considered a good asset. To make a careful study of the problems connected with it is therefore desirable before we consider complica- tions of any other sort. In the last paragraph emphasis was laid on the reality of the value. It may seem at first as if a value is a value, and that there can be no such thing as an unreal value. On general principles this is true, but it is necessary to realize that a thing which has value from one point of view has none from another, and that in accounting we must recognize the point of view before we determine w^hat figures shall be used in connection with any property. If we are considering the value of property which we are on the point of bu}dng, we are concerned only with what it would cost us to get that property some- where else — ^that is, with the cost of duplication. So if we are to use cost of duplication as the basis for valuation on a balance sheet, in closing the books at the end of a year our sole concern is to learn what it would cost us to buy similar property on the market. If, on the other hand, we are not thinking of buying property, but only of the investment value to us of property which we already hold, we are concerned PROPERTY OR EXPANSE «41 solely with the income which it yields. A house which brings an income of $1,000 a year over the taxes, insurance, and repairs, is worth, when interest is considered to be five per cent., $20,000; for $20,000 invested elsewhere will produce $1,000 a year at that rate of interest. Whether it would cost $20,000 to duplicate that house or not, the house is worth $20,000 to the owner as long as it will yield him an income of $1,000 a year. So on the basis of earning capacity we may have a very different valuation from that based on the cost of duplication. If, fina"'\Y, I have built a house for my own dwelling at an original cost of $20,000, and the house has been kept in excellent repair, it may still be worth, for my purposes, $20,000 and only $20,000; and this may be true even though I can now build another similar to it for less than $20,000 and even though I should have to pay more than $1,000 rent for another house which I might hire. In this case, it is not merely a dwelling that I am looking for, but this particular dwelling, with its associations connected with the past; the cost to me and the value to me are the same. If I abandon my original purpose, however, and decide that another house will do, I shall value it on a dif- ferent basis. Let us examine this. The situation may be expressed as follows: the house can now be duplicated for $15,000, it can be rented for $1,250, but I have paid $20,000. If another house will serve me just as well, and can be built for $15,000, my house is worth to me only $15,000 and should appear on the balance sheet at that cost of duplication; if, again, I need only a house of that type and do not require that particular house, and it A & A-16 ^42 ACCOUNTING AND AUDITINa would cost me $1,250 to hire any other, this house is worth $25,000, because possession of it saves $1,250 — that is, its earning capacity is five per cent, on $25,000; but if only this house will serve, my purpose, its value is the cost or sacrifice which enabled it to serve that purpose, namely, $20,000. Every valua- tion must have regard to the intent for which the valuation is made. Each of these valuations, $15,000, $25,000, $20,000, is correct on the basis used; but it is obvious that they are not equally satisfactory for general purposes. Yet in actual business one is likely to find all these methods defended by different persons as proper for use in valuations on balance sheets. One man argues for valuation at cost of duplication, another at capitalization of earning capacity, another at original cost or sacrifice. It has been common in railroad accounts to base valuations on expected earning capacity of the prop- erty purchased. If, for example, new locomotives are bought at an expense of $100,000, that $100,000 will be charged to Equipment if the locomotives are additions to equipment and are expected to enable the road to earn more; if the new locomotives take the place of old ones worn out but are expected to yield to the road greater earnings than the old — or, what is the same thing, reduce operating ex- penses — a portion of their cost representing ex- pected increased earnings may be charged to Equip- ment as measuring the increased earning capacity of the road as a whole, and the rest will be charged to Maintenance (the practical equivalent of Re- pairs); but if these new locomotives are expected simply to earn the same revenue as the old loco- I>ROPERTY OR EXPENSE M3 motives — however much better service they may render — the whole cost will be charged to Mainte- nance. For many roads this last statement is true even if the cost be much greater than the original cost of the locomotives that are replaced. This is the extreme form of basing valuation on earning capacity. Many persons who complain of the high rates charged by railroads insist that as a general prin- ciple railroads should earn profits equivalent only to what is considered a fair rate upon the cost of duplicating the property. If a railroad cost, say, $50,000,000 to build, but can be today duplicated for $40,000,000, this principle would require that since a fair rate of interest upon that $40,000,000 is all that the company ought to expect to receive, rates should be adjusted so as to yield that income. The advo- cates of this principle would on the balance sheet of the railroad show property equivalent only to the cost of duplication. Whether what they demand in the way of rates is fair or not is hardly an accounting question; but it is undoubted that if their principle is to be accepted — namely, that the real value of a property is the cost of duplication — all balance sheets should be adjusted to that basis, and the shrinkage due to a falling value of property should be deducted either from capital or from profits. The real question for the accountant to determine is which one of these three methods gives the facts most desirable to show on the books. A little thought suggests that there is limited virtue for ac- counting purposes in representing on the balance sheet a valuation based on earning capacity. Every- U4: ACCOUNTING AND AUDITING body knows that when interest is five per cent., for example, a property yielding five dollars a year is worth one hundred dollars. If we know the earning capacity of property, we do not need any bookkeep- ing, either simple or complex, to show us the value of that property. To cause a balance sheet to show a capitalization based on earning capacity, therefore, is simply to base the balance sheet on the income sheet — that is, to fix the total value of the property at one hundred times as much as the income divided by the number of per cent, indicating the current rate of interest (income $l,000,000-r-5 [the current rate of interest] =$200,000; which multiplied by 100 [to find 100%] =$20,000,000). There is no great value in a balance sheet which tells little more (ex- cept some details) than the income sheet has already suggested. To cause the balance sheet to indicate the cost of duplication, on the other hand, is hardly more fruitful. The cost of duplicating any prop- erty is fluctuating continually, and whatever valua- tion might be put on the books on the first of Janu- ary, 1911, would be to great extent out of date by the first of January, 1912; and though a possible profit indicated by a change in valuation might be very high for that year, in the subsequent year a change in valuations as indicated by the cost of duplication might entirely wipe out very large actual earnings. It is not true that any propert}^ which has shrunk in market value has necessarily involved a loss, for unless the property must be sold that nominal de- preciation may not really touch it. If the property is just as good for serving the end which it was pur- chased to serve, it is every whit as good for account- PEOPEETT OR EXPENSE. M5 ing purposes. In other words, the cost of duplica- tion has nothing whatever to do with the value of property for a going business, and, therefore, may perfectly well be disregarded in valuations on the books of any such business. It follows, therefore, that the only logical basis for any valuation as shown by books of account is the cost of the property for the service which it is to perform. If property bought for $50,000 can be duplicated for $40,000, from one point of view it is true that the business has lost $10,000; but that is true only if there have been no intermediate opera- tions and we are sure that the proprietors in spite of waiting until the price had fallen could have earned as great profits as they have earned during the period between the original purchase and the time when the price has fallen to $40,000. In other words, this notion of a loss of $10,000 is based on a supposi- tion which is usually far from the actual fact; and of course the profits of business should be indicated on the books not at all on the price of what might have been, but of what is known to be. Since, moreover, the figure of cost could never be recovered if once lost, it should not be confused by artificial valua- tions ; but since valuations based on earning capac- ity and on cost of duplication can be found at any time, the books do not need to register them. Hereafter, in deciding whether an expenditure shall be considered as for property or for expense, we shall in this book use for our basis neither earn- ing capacity nor cost of duplication, but the actual legitimate cost or sacrifice in securing the property adequate for the desired service; for, as we have 246 ACCOUNTING AND AUDITING seen, that is the only scientific method. We consider property to be whatever will render future economic service — even though that service be not productive of new revenue, — such as new locomotives that will merely run more reliably. One should realize, how- ever, that by cost, or sacrifice, is meant only the cost or sacrifice not yet compensated for. If, for instance, machinery has been in part worn out by use, con- verting itself, so to speak, into manufactured goods, the original cost of the machinery has been in part compensated for in its product, and only the cost of the portion yet unconsumed should now be considered as an asset. Depreciation must always be considered before the figure of cost or sacrifice to stand on the books as an asset is determined. An interesting problem arises if at a time of re- placement of worn-out property the new property is acquired at a different price from the old. If the extra cost is accompanied by an extra efficiency, coupled with k corresponding increased earning capacity, unquestionably the new additional cost may be charged as a real asset, for from every point of view — ^that of valuation based on earning capac- ity, on cost of duplication, on original cost — the value of the property is greater. If, again, though the earning capacity is not greater, efficiency is in- creased, from the point of view of valuation based on cost, the increased expenditure should be con- sidered an asset — for though it will not earn more, it will actually perform additional service to the com- munity. When, on the contrary, such property is replaced at a lower cost than the original, a rather nice new PROPERTY OR EXPENSE 247 problem in accounting is raised. This difference be- tween the two costs is a gain to the company, for the same efficiency and the same earning power are re- placed at a lower cost. It would not be wise account- ing, on the other hand, to consider this as profit for the year in which the replacement took place. What has really happened is that the operating facilities of the company have been kept intact by this re- placement purchase, and that still a certain surplus of product (for the replacement should be provided for out of product, of course) proves to remain after the expenditure of the amount necessary to keep the capital in good working order. This surplus has had its origin in all the years in which the old capital was in use, even though it may chance that the exact replacement and therefore the gain on replacement occur in only one of the years. In result, then, this gain is nothing but capital now set free by the changes in conditions in the commimity. It has not been earned by the company through its operations; it has not been contributed by stockholders; it is benefit derived, probably, from the progress of the arts. The assets account should show what the equipment now on hand has cost — the sacrifice that the company has made for this property; and as the cost of the original property has been returned, through product, and is more than enough to replace the worn-out property (assuming, of course, that the business is successful), the original cost is no longer in the equipment and therefore the valuation should be reduced on the books. Let us glance at the entries. As the old equip- ment (costing, we will say, $10,000) wore out, it pro- 248 ACCOUNTING AND AUDITING duced revenue, and cash (or its equivalent) became debited to the amount of $10,000 above other ex- penses and normal profits. Since, when this equip- ment needed to be replaced, only $8,000 was needed, $2,000 remains in cash. Since the original $10,000 valuation must be reduced to $8,000, for only that value now remains in the form of equipment, this $2,000 remaining in cash takes the place of the $2,000 displaced from equipment. The entry at the time of replacement, then, is as follows: Maintenance 8,000 Profit and Loss 2,000 To Cash 8,000 Equipment 2,000 This entry accomplishes three purposes. It reduces equipment to the cost of what is now on hand. It shows the actual expenditure for maintenance. It shows that the product of the business is responsible to do more than merely replace the efficiency of the equipment; for by debiting Profit and Loss $2,000 it declares that no profit can be counted imtil $2,000 in addition to maintenance has been deducted from product as an offset to property consumed and not replaced in value. The actual consumption of value has been $10,000. Though the worn-out equipment has been replaced in efficiency, if the books fail to record that it has not been replaced also in value the gain from the lower price will be taken up as profits in the year of replacement, and, as we have seen, it is not a gain of that year. The gain from the lower price of the new equipment comes from the setting free of assets — which were previously $10,000 in PROPERTY OR EXPENSE 249 equipment, but are now only $8,000 in equipment with cash set free (from earnings) of $2,000; and this $2,000 can be either returned to stockholders or invested to earn more profits. Before we attempt to work out new problems, let us summarize the situation. Let us assume that our ledger accounts are so named as to indicate sufficiently which of them are intended to represent property and which mere forces involving profit or loss. Our property accounts we will assume to be Real Es- tate, Plant and Machinery, Bills Receivable, etc., and our nominal accounts to be Expense, Rent, Taxes, Insurance, etc. We are likely at any time to have certain expenditures for repairs of machinery and plant. If an expenditure of this nature in- creases the value of the property over that appear- ing on the books, it should be debited to the real ac- count. Plant and Machinery; if it merely replaces a value worn out, such as substituting a new part for one broken, the charge should be made not to Plant and Machinery, but to some nominal account which will indicate on the books at the end of the period a loss or cost of conducting the business. In every case of this sort, then, it is desirable to determine be- fore the entry is made just what is the ultimate result of the expenditure. A charge to a real ac- count implies that the property is expected to re- main at the end of the earning period and to be counted as a good asset; a charge to a nominal ac- count implies that nothing of this expenditure is to be counted as an asset at the end of the period. Yet in spite of the fact that it is not always easy to know whether an expenditure is of one sort or the other, 250 ACCOUNTIN'G AND AUDITING the line must be drawn as exactly as the nature of the case allows. If carelessness occurs, one may find that assets have disappeared without any record on the books. We shall find many cases in which the real decision will depend upon a consideration not at first obvious; but always the principle underlying can be found if one analyzes the case deeply enough. As we saw in Chapter VI., however, property ac- counts usually have some profit and loss relations — depreciation, for example, — and nominal accounts are likely to include accrued or prepaid items. Al- lowances are therefore inevitable. The necessary thing, then, is not so much that the line between prop- erty and expense be drawn exactly at the time an entry is made, as that it shall be drawn correctly at the time the books are closed ; but a correct drawing of the line during the year makes easier a correct drawing of it at the close. The distinction between property and expense, moreover, is not more important than the distinction between property and revenue; for to consider as clear profit a sum received from the sale of property is as great an error as to conceive to be property what was really only expense. One must distinguish as carefully between real and nominal accounts in mak*^ ing credits as in making debits. Let us take an extreme case. Everyone knows that certain bonds sell at more than par value — that, for instance, a four per cent, bond of a good railroad which promises to pay $1,000 twenty years from now is likely to sell at considerably more than $1,000 — perhaps for $1,046.25. The reason for this premium is that investors believe so thoroughly in the security PEOPEETY OE EXPENSE 251 of the investment that they consider that they are taking practically no risk and can afford to lend their money at a low rate of interest — so low, indeed, that the four per cent, paid by the bond is more than they insist upon getting. They bid against each other and^ffer for the bond, then, more than $1,000, because the extra interest w^hich they will be re- ceiving as long as the bond runs is worth a premium. Though they pay $1,046.25, however, they will re- ceive when the bond matures only $1,000, and out of the interest pajTuent received every half year they must set aside a certain sum to make good that shrinkage of $46.25 which they will suffer at the ma- turity of the bond; that is to say, they must realize that the reason they are paying cash premium out- right when they buy the bond at $1,046.25 is because they expect a semi-annual payment of more than the required rate of interest while the bond lasts, and this extra sum of semi-annual payment is not in- terest upon their investment but is simply part re- payment of the $46.25 premium which they paid. Suppose an estate is entirely invested in such bonds, and the trustee, who is charged by a will to ad- minister the property so that the widow of the tes- tator shall receive the income of the estate and the sons shall inherit the body or ^^ corpus" of the estate at the death of the widow, does not realize that a part of the semi-annual interest payment includes a partial return of the $46.25 premium on each bond. In this case he will turn over semi-annually to the widow $20 for every installment of interest on each bond. When the bonds mature, if the widow is still living, but $1,000 will remain for each bond — though U2 ACCOLTNTING AISTD AUDITINa the estate originally included $1,046.25 for each. Suppose, now, the trustee invests this $1,000 return- ed principal in other bonds for which possibly he pays $1,250 because the rate of interest offered is high. At the maturity of these last bonds, again, he collects only $1,000 for each, and in the meantime has paid the widow the full amount of interest re- ceived on the bonds purchased at $1,250. Once more he invests the principal in other bonds, perhaps at 133^. It is obvious that if this process continues very long, though on the face of it the trustee has apparently been paying to the widow only the in- come on the bonds — namely, the interest which the bonds pay-— he has in reality been paying her a part of the principal, and on her death the amount of principal remaining in the fund will have shrunk considerably; for each time the par value of a bond is paid and he purchases new bonds at a premium he gets a smaller face value of bonds than he had be- fore, so that whereas the original investment maj have been $104,625, it will now be only $60,000' He fails to live up to the terms of the will because he does not recognize the difference between capital and revenue, between real accounts and nominal ac- counts. He should have known that though a part of every semi-annual interest payment was income or interest on the capital of the estate, another part was simply the repayment of principal, which ought to be kept intact and reinvested in order that the re- mainder-men or inheritors of the permanent estate shall not suffer loss through his neglect of account- ing principles. This sort of case is of frequent occurrence. PROPERTY OR EXPENSfe 253 though the names by which the property is called may differ widely. If we have an impression, for in- stance, that we are keeping up our machinery by re- pairs and replacements and each year charge to Maintenance what seems to us a reasonable figure for such repairs and replacements, we may find sud- denly that machinery standing on our books at a valuation of $50,000 is worth only $10,000. This error in judgment may have arisen not at all from a failure to spend enough in repairs and replacements, but from a neglect to realize that machinery may sometimes become worthless though it is quite as efficient in production as it was the day it was new. Many times in the last hundred years machinery as good as could be made has been kept equally good so far as its own production is concerned, and yet has become worthless because other machinery has been invented and put upon the market to do either the same work at a cost so low that the old machinery could not compete with it in price, or to do work so far superior that the old machinery could not com- pete with it in quality at the old price. Here, then, was no failure of calculation in keeping up the prop- erty; there was only failure to recognize the force of change in business operations. Allowance should always be made, in any business using machinery, for possible supplanting of property before it has lost its original efficiency — for what is commonly called '* obsolescence," or growing old. In some lines of business the average period of obsolescence is per- haps five years, even though the machinery itself might last for twenty years. Accounting is good only when it represents on the books all the facts: 254 ACCOtJNTiNG AND AUDITING^ and, therefore, the books should show that a part of each year's product should be devoted to establish- ing and keeping up a fund big enough to replace obsolete machinery as often as on the average it is likely to require such replacement. If this is not done, the books are representing profits as far greater than they really are. Another illustration of the same thing applies in the use of what are commonly called ^^ wasting as- sets." It may be known, for instance, that a certain quarry has in it marble enough to produce 50,000 tons a year for twenty j^ears. We may pay $20,00p for the right to get out marble from that quarry. If we figure profits by simply subtracting from sales the cost of getting out, dressing, and selling the marble, we are misrepresenting our profits; for at the expiration of the twenty years we shall have no asset left in the form of quarry right, and the $20,000 will have disappeared. Proper accounting would in- dicate how much of each year's product should be set aside to keep intact the original investment. This need not necessarily be set aside in cash or invested, but may be used possibly in the development of the business in some other line, as, for instance, in the gradual purchase of other quarry rights to take the place of that exhausted. It is inevitable, however, that if the books are kept so as to neglect the gradual exhaustion of this quarry right and to maintain it continually at a valuation of $20,000, on the ex- haustion of the rock that $20,000 asset will seem to have shrunk in a moment to nothing, and there will be a deficit instead of a profit as a result of the last PEOPERTY OR EXPENSE 255 period of operation — unless, indeed, the profits are extraordinary and could easily swallow up such a shrinkage. These cases are fairly simple when we once recognize the fact of shrinking assets. The only complication is in the figuring to determine just what allowance shall be made each year, and that computation is in most cases a mere matter of arith- metic applied to a judgment concerning the probable duration of the property. In the case of a bond the valuation is capable of exact computation as soon as the basis of interest is determined. A case involving the same principle where there may be some differ- ence of opinion as to the method of calculation may be illustrated by agreements involving a maximum and a minimum sale. Suppose we are in the publish- ing business and have made plates for a book under an agreement with certain booksellers that we will supply them with a thousand copies a year for five years, and that they will take the five thousand copies at any time in five years provided not over three thousand copies shall be delivered in any one year. Under this agreement we have the option of supplying from one to three thousand copies in any one year, but we are not obliged to furnish more than one thousand, and we know that the maximum sale at least under this contract will be five thousand copies. Let it be assumed, also, that we have no faith to believe that more than five thousand copies will ever be sold. This is not, of course, a common agreement, but it illustrates a principle which is common in many relations. Let us suppose that we m^ ACCOUNTING AND AUDITING supply the publishers two thousand copies in the first year, and that the plates for the book — which, of course, are useless for any other purpose than printing this particular book — ^have cost us $500. What shall we consider a proper allowance to make for depreciation of those plates during this year"? Is it one-fifth because one-fifth of the five years of the contract has expired, or is it two-fifths because two- fifths of the total expected sales have already been made? On one basis, of course, the plates have served one-fifth of their usefulness — if we assume that they will last for the printing of as many as five thousand copies, which is, of course, presumable. On the other basis, since the total amount of the con- tract is five thousand copies, and two thousand have been produced and sold, the plates have served two- fifths of their usefulness. Yet a decision of this mat- ter involves a difference of $100 profit for the year — that is, the difference between one-fifth, or $100, and two-fifths, or $200. In a case of this sort something else than a consideration of mere lapse of time is necessary to enable us to determine what proportion of the value should be written off in any period. In this case, it is true that the plates have not appre- ciably lost in productiveness, and can produce many more than the five thousand copies; but since their actual effectiveness is to be only five thousand copies, and two thousand have been produced, we are concerned not with how much potential value is left in them but with how much actual value has been exhausted. Here the exhaustion of value is two thousand, and we must reduce the original value of PEOPERTY OH EXPENSE 25'J the plates by two-fifths, or by $200 — though theo- retically only one-fifth of the time of the contract has elapsed and though the plates might potentially serve for printing twenty thousand copies. Still one sort of case remains — different from the others, however, only in the magnitude of the shrinkage. Let us suppose that it is learned that a railroad contemplates changing its traffic arrange- ments in such fashion that a certain town heretofore of slight consequence is to be made a great railroad center. We seek to make a profit out of the change and build a large hotel at heavy expense in order to cater to the traveling public which must use this junction. At about the time the hotel is completed it is found that on account of legal complications and competition with water transportation the railroad is obliged to abandon its plans of increasing traffic at this point, and our hotel is a white elephant. What shall we do with the value of the property as stand- ing on our books'? Though the hotel actually cost what we have charged to Real Estate, it is not from any point of view worth anything like that sum. In- deed, it is conceivable that it will be practically worthless if there is no demand for such a building in that locality. Even our principle of basing valua- tion on cost, as expounded in the first part of this chapter, would put this valuation down; for the cost there used was the cost of getting the desired efficiency, and here the desired efficiency is not pro- duced and the expenditure was therefore wasted. It would not be necessary in such a case to make anv entries on the books until it became time to close the 258 ACCOUNTING AND AUDITING accounts at the end of the year; for the debit to this account, originally made with the thought that the account represented an asset, would simply turn out to be a debit to an explanation account — merely ex- plaining the loss of this value. In closing our books at the end of the year, therefore, we should carry this debit not into the resource column of a six- column statement (as described in Chapter VI.), which is equivalent to considering it a good asset, but into the loss column of such a statement, which is equivalent to considering it merely an explanation for the disappearance of property. It is noteworthy that the bookkeeping will be absolutely the same in both cases — ^that is, whether the property be con- ceived to remain or to be exhausted: only in the treatment of the account at the end of the year, in drawing conclusions from the books, shall we need to know whether the property really exists or has disappeared. Many accounts are of this sort. The commonest, of course, is that for bad debts. If we have sold goods to one of our regular customers, as long as the account remains on the books we are in the habit of counting it as an asset; but if the cus- tomer suddenly goes into bankruptcy, with the ability to pay nothing whatever, the account may still remain on our books, but we must recognize that it is nominal, explaining a loss instead of represent- ing an asset. In any case, when we are handling accounts it is desirable that we shall use the most conservative judgment as to valuations, for only so can we be sure that we are not considering as still on hand property which was long ago consumed. The basis of sueH a PROPERTY OR EXPENSE 259 valuation will be determined by the particular case in hand, and no general principle can be laid down except that the valuation should always be made as accurate as possible and in cases of genuine doubt the lowest probable. With regard to merchandise, for instance, the valuation should be put at cost price if we are judging the business with the expectation of selling the goods in the ordinary run of trade and no marked fall in value has occurred since they were purchased. If, on the other hand, we are considering a winding-up of affairs, so that the merchandise must be sold for a lump sum, either at private sale or by auction, we are sure that it will not bring any- thing like its proper price, and the valuation should be, therefore, a great deal less than cost. Whenever an item is presumed to be an asset and, therefore, remaining on hand at the end of the earning period (usually a year), so that it is debited to a real account, it is commonly said to be ^^ charged to capital"; when, on the other hand, it is presumed to be consumed during the year and is debited to a nominal account, it is commonly said to be ** charged to revenue." In the terms of the six-column state- ment discussed in Chapter VI., charging to capital is debiting an item to an account so that the amount will appear among the resources in the six-column statement; and charging to revenue is debiting an amount so that it will appear among the losses on that statement. To '^charge to revenue" is really an unfortunate expression, for revenues are always credits; the expression means that the item will be subtracted from earnings at the end of the year. A better expression is '^charging against revenue." 260 ACCOUNTING AND AUDITING As was stated in Chapter VI., most business houses, in drawing up their conclusions at the end of the year or in making reports to commercial agencies and to stockholders, give the facts as shown in a six-column statement, but in a somewhat dif- ferent form. The six-column statement is usually supplanted by two statements, one of which, the bal- ance sheet, contains on one side a list of all assets and on the other a list of all liabilities, and the other, the income sheet, contains a condensed list of the items in the last pair of columns on the six-column statement, viz., those for loss and gain. It will be seen that the balance sheet shows the condition of the business at the end of the year, after all allow- ances for depreciation and accrued items have been made. The income sheet, on the other hand, repre- sents not at all the condition at the end of the year, but simply the summary of all transactions affecting profit and loss during the year. The balance sheet, in other words, represents the facts at a definite moment of time and can bear a definite date ; but the income sheet represents the nominal accounts over a period of time, usually one year. As a good illustra- tion of these two sheets extracts from the annual re- ports of the United States Steel Corporation are ap- pended. PEOPERTY OR EXPENSE 361 BALANCE SHEET ASSETS Property (real estate, plant, etc.) $1,500,092,134.63 Mining royalties, etc., paid in advance 6,763,191.22 Investments (outside real estate, etc.) 2,353,109.56 Special funds 21,738,953.06 Current assets (inventories, cash claims, etc.) 291,018,166.95 $1,821,965,555.42 LIABILITIES Capital stock $ 869,202,602.50 Funded and mortgage debt 609,147,904.87 Current liabilities 61,144,725.55 Special funds 131,115,794.75 Surplus* 151,354,527.75 $1,821,965,555.42 INCOME SHEET Gross receipts from production $646,382,251.29 Producing costs, including maintenance... $483,417,842,21 Administrative and selling costs 19,082,226.90 502,500,069.11 Net receipts from operation $143,882,182.18 Other income 6,817,998.87 Gross income $150,700,181.05 Taxes $ 8,704,193.39 Interest 31,504,471.58 40,208,664.97 Net income from operations $110,491,516.08 Less profits between departments, not yet realized by the combined business 2,617,395.54 $107,874,120.54 Appropriations for sinking funds, extraordinary deprecia- tion allowance, etc 29,348,870.58 Available for dividends $ 78,525,249.96 Dividends 45,551,777.00 Surplus for year $ 32,973,472.96 * This includes the surplus for the year, brought from the income sheet below. CHAPTER X DEPKECIATION We saw in the last chapter that it is necessary whenever one is drawing conclusions from books of account to make allowances for changes in value of many kinds of property. Indeed, there is practically nothing in busiaess which remains for long quite the same in value. Let us examine several kinds of prop- erty subject to different laws of change. The most common property on which deprecia- tion must be figured is merchandise. If a stock of goods is turned over rapidly and is of a standard variety, very little allowance need be made. A coal dealer, for instance, is likely very seldom to make al- lowance for depreciation unless a fire gets into his bins. Even he, however, must see to it that no short- age results from careless weighing and from theft. Since coal is usually bought by the gross ton of 2,240 lbs., and is sold by net tons of 2,000 lbs., a shortage is little likely to occur. A wine dealer, on the other hand, is likely to suffer considerable loss from break- age, and therefore, though in general it is true that his stock increases in value with age, it may never- theless be true that an amount of money invested in wine may suffer shrinkage in the course of time if there is careless handling. For ordinary stocks of goods, however, many elements of depreciation, but 263 264 ACCOUNTING AND AUDITING few of appreciation, are likely to be at work. One is the common change of fashion, or custom, which ren- ders goods once of high value practically worthless. The effect of this varies in force not only from busi- ness to business, but even from line to line in the same business. In a dry goods store, for instance, cotton sheeting is likely to be fairly steady from year to year not only in price, but also in demand. Its value decreases only slowly, moreover, with de- terioration. Expensive figured silks, on the other hand, are likely to vary in value not only because of changing prices and of varying demand, but because of deterioration with age. In valuing stocks of goods, therefore, it is essential that one shall con- sider many factors. In other words, a stock cannot necessarily be valued at all on the basis of purchase price, nor can any normal percentage of depreciation be applied generally for any business selling many varieties. The only effectual valuation is to examine the goods in detail and see what is the probable de- preciation on each sort. In the book business, again, there is still another element of depreciation in the privilege which most customers or intending cus- tomers or pretending customers have of examining books offered for sale. The loss from the difference in price between fresh and shop-worn goods is likely to be considerable. This applies in many other lines of business. Real estate is subject to changes in value both upward and downward; but the upward movement is sure to be confined to the value of the land itself or to leases, whereas the buildings are sure of a downward tendency even when repairs are made with DEPEECIATION 265 frequency. Certain parts of buildings are so inac- cessible that extensive structural repairs would re- quire an expense even practically prohibitive. The changes in factory, store, and office conditions, more- over, require different construction as the years go on and make it often cheaper to demolish and re- build than to repair or alter. The rates of deprecia- tion on buildings are various, for the use -to which a building is put has a great influence upon its dur- ability. A stone warehouse or boiler house is likely to be little affected by lapse of time. Wooden buildings subject to heavy jars or the action of steam, smoke, acid, vapors, etc., are likely to need replacement often. It is impossible, therefore, to give any hard and fast figures, but in the main it may be said that building accounts should be treated as shrinking in value by a certain percentage each year — that percentage varying from perhaps two to twenty. Machinery, as already suggested, is subject to shrinkage in value not merely because of actual wear, but because it is likely to be displaced at any time by inventions rendering it out of date, or by changes in fashion destroying the demand for its product. Machinery differs from buildings, how- ever, in that to a certain extent it may be kept to the original value through the medium of repairs and re- placements. It can usually be taken apart and set up with a new gear, a new shaft, a new belt, a new feed, and what not. Indeed, it may be said that very few machines are really ever worn out, for unless they are of extremely simple type, constant repairs and replacement of parts will continue their ef- 266 ACCOUNTING AND AUDITING ficiency. It is mainly because better machines have come upon the market that old machines are dis- carded. In allowing for depreciation, therefore, the task is to consider the number of years which the machine will remain useful, and to figure its cost for those years as not only the full initial cost, but, in addition, all expense for repairs and replace- ments. This expense must be distributed evenly over those years, for clearly to charge against the profits of any one year more than its fair share of the total cost of the machine is to misrepresent the real profits of that period. The main question arising in the treatment of depreciation of machinery is the method of calculation of the total cost to be dis- tributed. This is worthy of careful examination. Repairs and replacements, of course, which not only should be distributed over a series of years but will actually be made and paid for in those years, should be charged to an account by themselves. This is usually called ** Maintenance." One method of treating depreciation is particularly well illustrated by the former common practice of railroads. Among the total operating expenses of railroads Mainte- nance of Equipment — that is, repairs, renewals and replacements of locomotives, cars, snow-plows, etc. — constitutes about fifteen per cent. Since the total expense of this sort is so heavy it is probable on a railroad that if one engine requires more repairs this year than usual, some other engine will require fewer; the number of engines is so large, and the nimaber of types of engines is so great, that a fair average is likely to be maintained one year as com- pared with another. It ha^ not been customary, DEPEECIATION" 267 therefore, for railroads to make any theoretical al- lowance for depreciation — or, at least, it was not customary until, a few years ago, the Interstate Commerce Commission pressed such an allowance upon the American roads. The same sort of thing is true of maintenance of way and structures; for though the cost may be slightly heavier in one year than in another, it is likely to run along fairly close to the average. This method of treating deprecia- tion, it should be noted, is sometimes the only method necessary. If the property is comprised of many parts, having different lifetimes, and therefore depreciating at different rates, it may chance that each year a good many parts will need to be replaced — so many, in fact, that the general efficiency will never decline and the cost of maintenance may never vary much from the average ; the depreciation on old machines not replaced will be offset each year by the excess value of new machines over those which they replace, and the total value will be unimpaired. To maintain property does not mean, of course, that each hit of property is maintained, but only that the property as a whole is maintained. To improve twenty locomotives as much as twenty other loco- motives decline in value is to maintain the equip- ment. When this sort of thing is carried out, no further provision for depreciation is necessary, and maintenance is automatic. It is necessary to realize, however, that in very few enterprises is it practi- cable each year to keep the property exactly at its original value by repairs and replacements and at a steady cost. The Interstate Commerce Commis- sion refuses to assume that the railroads can or will WS ACCOUNTING AND AUDITING do so. We have, then, to provide for the actual de- preciation which repairs and replacements cannot or do not prevent. Let us turn now to the provision for the esti- mated unavoidable depreciation. Each of several methods of making the necessary calculations has its defendants. The most obvious of these is a sim- ple division of the total original cost of the machine by the number of years which it is expected to re- main in use. Two objections to this are clear. In the first place, if we write off each year, beginning with the first year, a sum which is one year's pro- portion of the total cost, we are neglecting the fact that money is always capable of earning interest, and that, therefore, a sum laid aside each year in a special fimd for ultimate replacement will at the snd of the time have increased in value through in- terest to a larger sum than is needed. In other words, each year's share except the last may as well be less than the exact arithmetical proportion, for the accumulation of interest will make up the de- ficiency. The second objection to this method is that the machine does not depreciate at anything like a steady arithmetical rate. This method, then, is pure- ly artificial, and although it produces the desired sum, it may yet result in a considerable unfairness as between different years of the life of the machine, — especially since, as we shall see later in connec- tion with other plans, it neglects several important elements of what is going on. A second method is to use what is called a sink- ing-fund device, — that is, to find by calculation a sum of money which, actually set aside and put at DEPRECIATIOI^ 269 interest, will produce the desired sum at the end of the time. This may be illustrated as follows: one dollar set aside now will, at 4 per cent, interest, amount to $1.04 at the end of the year ; a dollar then set aside and added to the first will, at the end of the next year, amount to another $1.04, and the first dollar will in the meantime have become in value something more than $1.08; a third dollar set aside at that time will amount to $1.04 in the next year, the second dollar will at the same time have amount- ed to something more than $1.08, the first to some- thing more than $1.12; and so on. Adding each year a dollar and the accumulated interest of preceding dollars, we get a considerably larger sum at the end of the period than the amount of money invested. If we now divide the amount of money which we wish to raise at the end of the period by the total ac- cumulation of single dollars just found, we shall know what number of dollars set aside each year will accumulate in the given number of years to the de- sired sum. This annual sum set aside is called a sink- ing fund, and, as we have seen, will be steady. The annual payment throughout the period will be less than the total amount to be raised divided by the number of years, as found by the first method, for the accumulations of interest will make up the de- ficiency. A third method is to recognize the fact that the machine depreciates much less in the early years than in the later, and, therefore, to distribute the total amount of depreciation among the various years in an increasing proportion, such, for instance, as 5 per cent, in the first year, 10 in the second, 15 in 270 ACCOUNTING AND AUDITING the third, 20 in the fourth, and so on by such an ar- rangement that the total 100 per cent, will have been written off in the expected lifetime of the machine. To this method much objection can be found. It is true, as the theory assumes, that the machine will de- preciate but little in the first years, and rapidly in the last. As we have^ seen in another connection, however, the real accounting test is not so much the change in the value remaining as it is in the ability of each year to endure a share of the total ex- pense; that is to say, we are not so much concerned with the actual depreciation for that year, which is at best but a matter of guess and purely arbitrary, as with the amount of depreciation which that year can endiire to have charged against its products without throwing it out of proper relation to other years. It is obvious, in the first place, that a new machine requires fewer repairs and replacements than an old one, and that, therefore, the direct charges to Maintenance will be less in those years. In the second place, such a machine, since it is of the newest type, is competing probably only with its equals or v^th machines of an older type, and, there- fore, places its owners either on an equality or at an advantage as compared with other shops using older types of machines. On a double ground, there- fore, the business can afford to set aside a con- siderable sum out of the product of the early years as a fund for ultimate retirement and re- placen^t of the machine,— because repairs are less, ana because it is competing at an advantage with other machines. Yet this third method actually charges less against the product in the early years DEPRECIATION 271 than in the later, and in the later years, when the machine requires many repairs and at the same time must compete against new machines of a superior type, it charges as arbitrary depreciation a heavier sum than in the early years. The business is far less able to take out of product in the old age of a ma- chine a large sum for repairs and for a replacement fund than in the early years, and so this third method is really unscientific and violates in its as- sumptions a most obvious fact. The fourth method is based almost entirely on the considerations suggested in the last paragraph, that is, it attempts to use the facts which the third method disregards. Under this plan the amount of depreciation written off in the early years is very much heavier than in the later because the business can stand such heavy depreciation in the early years and cannot in the later. One mathematical mettiod of making the calculation of annual depreciation is to find a fixed percentage which shall be applied each year; but this percentage is to be applied not to the original cost of the machine, but to that orig- inal cost less the previous depreciation. Suppose, for instance, a machine expected to last five years cost $200 and will be worth $20 for junk when sold. By the application of a mathematical formula it can be learned that the percentage to be applied is about 37. This will give us, applied to the $200 in the first year, a depreciation of about $74 and a remaining valuation of $126.19; in the next year, a deprecia- tion of about $47 (that is, 37% on the $126.19), and a valuation of $79.62; in the next year, 37% upon that last valuation will give about $29 additional 372 ACCOUNTING AND AUDITING depreciation, and leave a balance of $50.24; 31% ap- plied to that gives us a depreciation of about $19, and a valuation of $31.70; and a final 37% reduction gives a final remaining scrap value of $20. This is distributing the charge for depreciation over the various years on the basis of what each is best able to stand, and the amount subtracted from the prod- uct should leave a fair sum of profit. The method of calculation for this percentage is rather compli- cated, and in many cases is hardly worth while, but a rough substitute for it is found readily by simple arithmetic. If we add the numbers representing all the years which the machine is expected to last, in this case 5, 4, 3, 2 and 1, the sum represents the de- nominator of a convenient fraction; if we each year write off from the original value of the machine a share (of the total depreciation) represented by a fraction having for its numerator the number of years remaining and for its denominator this total number of years just indicated, we shall attain prac- tically the desired result. To illustrate, in this case, as we have just seen, the sum of all the years, 5, 4, 3, 2 and 1, gives us a denominator of 15, and if we in the first year write off 5/15, in the second 4/15, in the third 3/15, in the fourth 2/15, and in the last 1/15, we shall have written off in the end the total 15/15; and we shall have made each year bear a proportion considerably smaller than that of the year before. The figures of depreciation will be $60, $48, $36, $24 and $12. For the purpose of making this method clear let us take another illustration. Suppose the machine will be obsolete in ten years. We add to- gether 10, 9, 8, 7, 6, 5, 4, 3, 2 and 1. This gives us 55 DEPRECIATION ^I'S for a denominator, and if we assume that the ma- chine cost $600 and will be worth at the end of the ten years $50 as scrap, we get $10 for each 55th of the total. In the first year, since we are to write off 10/55, we reduce the valuation by $100. The next year we are to write off 9/55, and reduce the valua- tion further by $90, and so on in a decreasing figure each year until in the next to the last year we write off $20, and in the last year $10. Then the whole $550 has been subtracted from the original $600 and we have our scrap value of $50 remaining. It is obvious that at best, under any conceivable conditions, our writing off of depreciation is to a cer- tain extent arbitrary, for it must always be based on a mere judgment as to how long the machine will be useful. The machine may actually, so far as its physical substance is concerned, last far longer than we expect, or it may wear out much sooner; and new machines may not come upon the market for fifteen years, though we base our calculations on ten, — or they may appear in three years. Since, then, our calculation is so largely guess work, it is absurd to carry the figuring of depreciation to a very great re- finement. Theoretically, if we decide that we should write off each year 37% of the preceding valuation, we ought to allow for the fact that the 37% if set aside will accumulate interest, and that, therefore, a smaller sum than 37% will suffice for the purpose. Such a provision, however, would be finical, for since the whole calculation is a mere estimate, an allow- ance of anything annually for interest is quite as likely to increase the discrepancy between the fund ^H ACCOUNTING AND AtJDITING accumulated and the amount actually needed as it is to decrease it. The substance of the whole matter lies, then, in this: depreciation inevitably goes on in such things as machinery; it goes on with increasing rapidity; but that increasing rapidity is in part offset by the fact that we necessarily in the monthly conduct of the business are making charges to Maintenance which tend to keep good the value of the machine, and in part by the fact that only in the early years can the machine compete successfully with other machines; so in practice it is desirable that the amount of depreciation charged against the product shall in each year be a decreasing rather than an in- creasing sum. The practical task is to determine the probable life of the machine and to calculate a rea- sonable rate of decrease for the valuation. As was indicated in an earlier chapter, even bonds and other investments are likely to be chang- ing in value, — though in this case the value may be increasing as well as decreasing with the lapse of time. Whenever any contract promises to yield more than the normal value of the property con- cerned, that contract is, of course, worth something to the holder. Let us examine this, more thoroughly than before, under the conditions of a bond. If, for instance, the market rate of interest for security of a certain class is 4 per cent, and a bond promises to pay 5 per cent, interest, that bond will bear in the market more than the par value, — that is, it will sell for something more than its face value because it is promising to give each year a larger sum than the market interest on its face. It commonly hap- iDEPRECiATIOIT m pens that when such bonds of a railroad are first issued, though the face of the bonds calls for but $1,000, people will pay a considerably larger sum than that into the coffers of the railroad company in exchange for those bonds. In fact, the railroad by issuing a bond has promised to pay the purchaser not only his $1,000 at the maturity of the bond, and the normal rate of interest, say 4 per cent., in the interim, but still a larger sum by the amount of the higher rate of interest; and for this the purchaser of the bond is willing to pay. The premium on the bond, that is, the sum paid in addition to $1,000, is recognized, or should be recognized, by both the purchaser and the railroad as compensation for an annual payment which we may call an annuity. This annual payment, however, will cease at the maturity of the bond because only the par value, or $1,000, will then be paid (with interest accumulated during the last period). The value of the bond, then, is made up of three elements; first, the value of the railroad's promise to pay $1,000 at the maturity of the bond; second, the value of the promise to pay normal interest; and, third, the value of the promise to pay extra interest — that is, a sum in excess of the normal rate. If the bond called for only the normal rate of interest on the par value of $1,000, it is ob- vious that it would bear no premium at all, for the purchaser would be getting just the normal rate of interest on his money during the life of the bond and the repajmient of his principal at maturity. At the end of one year after the bond is issued, the railroad's promise to pay more than the market rate of interest is less valuable than before, simply ^76 ACCOUNTING AND AUDITINO because the promise is now of shorter duration and not so many payments of this excess interest remain; at the end of the second year the promise to pay ex- cess interest has shrunk by two years' value; and so on until the end of the time, when all these excess interest promises will have expired, and the bond will be worth just par. It is obvious, therefore, that if we wish our books to represent the value of our property we must each year reduce the valuation of all bonds which have been purchased at a premium; for by just the degree of their approach to maturity there has been a shrinkage of value. The amount of such shrinkage can always be learned readily from published tables which show what is the value of bonds paying practically any common rate of in- terest on the basis of what is assumed to be the mar- ket rate. A bond table, for instance, will show what is the value of a 5 per cent, bond for any number of years or half years on the assumption of a market rate of interest of, say, 2%, 2%%, 21/2%, 23/4%, and so on up to 5% and 6%. Some tables, indeed, show the values of bonds worked to bases as close to one another as one hundredth of one per cent. If, on the other hand, a bond pays a lower rate of interest than the purchaser believes to be right for the kind of security which it offers, he will pay less than the par value of the bond for just the same reason that in the other case he pays more. If, for Instance, he considers that in view of the risk in- volved the bond ought to pay 5%, but it actually pays 4%%, he will pay less than par by the amount of difference of interest for the number of years that it has to run. As such a bond approaches maturity, DEPRECIATIOJiT 277 therefore, it will be gradually increasing in value; for since the bond promises to pay $1,000 on ma- turity, with each year's lapse of time that valuation of $1,000 is getting nearer, and the length of time for which the owner will be receiving less than the mar- ket rate of interest will be shorter. If the bond is good, the owner is sure of $1,000 at the end of the time, and, therefore, he will at every new closing of his books increase on his books the valuation of the bond toward the thousand-dollar point. The amount of such valuation can be found, as for bonds at a premium, in bond tables. Similar to bonds are all other documents promis- ing to pay a fixed sum of money at definite intervals, such, for instance, as leases and contracts for the payment of royalties. If a change has taken place in the value of real estate so that property which we can hire, because we have long held a lease, for $1,000 a year, is really worth $1,500 a year to us, that lease is a source to us of an annual saving of $500. It may be worth while, indeed, to purchase such a lease of someone else and pay him a price which is equivalent to this annual $500 profit. Obviously, however, as the expiration of the lease approaches, the lease is less valuable; for if it was taken originally when the lease had five years to run, it was then a promise of five $500 savings, the next year it is good for only four $500 savings, the next year for three $500 savings, etc., and at the end of the period, since there will be no savings remaining, it will be value- less, — ^unless, indeed, there is a provision in the lease for its continuance at the option of the holder. We must each year, therefore, reduce the valuation of 278 ACCOUNTING AND AUDITING the lease on our books in proportion to the reduction in the number of $500 savings. This reduction, however, would not be exactly $500 because, on the principle of discount previously discussed, $500 pay- able some years in the future is not worth $500 to- day. We should simply find the present worth of each of these $500 savings and each year reduce the value of the lease by the present worth of thie most remote saving — ^which would be the same as the present amount of one installment less the in- crease in the value of the other installments (due, of course, to approaching maturity). In almost all businesses there are frequent pre- payments, such, for instance, as taxes, insurance and rent. At the time of making such a prepayment we may charge it to either a property account or a nom- inal account according as the circumstances seem to make worth while. If, for instance, we were to pay the premium on a five-year fire insurance policy, we should recognize at the time of the entry that it was not all a charge against this year's revenue, and we should be likely, therefore, to charge it to a prop- erty account because the policy is a good asset as long as it remains unexpired. We should recognize, however, each year — or, indeed, each fraction of a year, if we attempt to determine profits oftener — that a certain portion of that has expired and must be written off the books. It is not enough to trust to memory in providing for depreciation at the end of any earning period. In closing the books at such a time one should run through the ledger or the trial balance carefully and see whether any accounts treated as real include DEPRECIATION 279 items which have disappeared either entirely or in part as assets, and now represent only explanations of shrinkage which must be made good out of product. The method of entry for these different treat- ments of depreciation will necessarily differ. So far as depreciation is prevented by maintenance, the only entry is, of course, to debit Maintenance for actual costs; then, as .Maintenance is a nominal ac- count, it is closed out into Profit and Loss, and the assets remain at their original value — as they should, since they have been maintained unimpaired. So far as Maintenance has failed to keep up the value of property, Depreciation should be debited as an indication of shrinkage. The natural credit to make at the same time, of course, is to the account repre- senting the property that has declined; for that ac- count should no longer stand debited with property that has disappeared. When Depreciation has been carried to Profit and Loss, therefore, things are as they should be, — a nominal account debited for the consumption of property in carrying on business, and the real account written down to the value re- maining. If, finally, a depreciation fund is set aside, out of product, to replace the exhausted property, the only change is in the addition of another entry for the investment of the cash. In that case, the business has converted one kind of property into another, — possibly machinery worn out in convert- ing itself into goods, goods converted into money, and money converted into an invested fund; and in the end everything is the same (neglecting profit or loss in the operation) as in the beginning except that 280 ACCOUNTING AND AUDITING in place of a part of the old property the business now has a fund provided for the purchase of new property. Whether such a fund should be invested in the business itself or outside is a question not of account- ing, but of business management. It must be real- ized, however, that a fund tied up is in one sense no real fund at all. CHAPTER XI PROFITS In the last chapter we discussed the general na- ture of depreciation and the methods of determining what allowances should be made for it. In general, it may be said that the profit of a business is its income from operation less expenses and allowances for depreciation. To learn this profit seems a simple task of bookkeeping. As a matter of fact, however, the determination of each of these three elements is likely to involve calculation and judgment of many things not normally on books of account. In every business debts are constantly accruing, either in its favor or against it, long before they can well be en- tered on the books. If, for instance, taxes are assessed on May 1, and the close of the business year is January 1, to the expenses otherwise determined on January 1 must be added the proportionate charge for the year's tax — ^that is, eight months' taxes ac- crued but not due. Similarly, if any notes outstand- ing bear interest, the charge is day by day increasing against the firm. If the firm, on the other hand, holds notes bearing interest, the amount of such interest is accruing in its favor. If the business has taken dis- count on notes accepted from its customers, every day brings nearer the due date of those notes and, therefore, increases their value; and any notes which 281 282 ACCOUNTING AND AUDITING the firm has had discounted for it by others are by approaching maturity becoming heavier liabilities of the business — because their present worth is more. Only when all such accruing items have been con- sidered is it possible to tell exactly what has been the profit or loss for any earning period. Among large items of this sort are likely to be rents and royalties. It may chance that the business makes payment on lease and royalty contracts at periods far removed from its own fiscal dates. It is true, of course, that if the amount of such rents and royalties is neglected every year, and is constant year by year, no error will be introduced into the books after the first year; for the amount entered each year will be more or less than the amount belonging to that year by the por- tion brought over from the last year, but at the same time it will be less or more than the proper amount for that year by the amount carried over to the next year; so that as the expense is steady one year after another, the error on one side will exactly off- set the error on the other. For the first year, how- ever, the item may be serious and should be allowed for, and when once allowed for, it must always be allowed for or error creeps in; and in any case, if the amount varies from year to year, considerable error will be introduced if the exact figure is not obtained for the exact period in question. Persons unfamiliar with accounts may be in some doubt as to why it is worth while to draw a hard and fast line and say that certain profits belong to last year and certain others to this. If it were true that the persons who lost in this year would gain in the subsequent years, or vice versa, it would not usually PEOFITS 283 matter seriously, even though the line were not di^awn with absolute accin-acy; though even in such a case it is desirable that a man shall know his income with exactness, for most men determine their expen- ditures with some regard to their supposed incomes. When, however, the recipients of income this year are somewhat different from those of other years, it is absolutely essential, in order to attain justice, that there shall be no overstating or understating of the profits of any year. In very few corporations, ex- cept those of a more or less private type in which the stockholders are permanent, is it true that the profits held over and understated this year will, when finally distributed, go to quite the same persons as would have benefited by the early distribution. Stocks of all large companies are frequently changing hands in the market, not only because of speculation but be- cause of changes in permanent investment. If, in any year, the profits of a business are overstated and the amount of dividend paid is larger than is strictly correct, the gain goes to the stockholders of record at that time ; and this gain cannot, of course, be made up by a payment of smaller dividends to subsequent and diiferent stockholders. Profits hidden by care- less or fraudulent accounting, on the other hand, are not ultimately distributed fairly if persons ignorant of those profits sell their stock at a price based on its apparent rather than its real value. Watchful in- vestors and speculators know o:ften that a business is accumulating reserves which will ultimately result in larger dividends ; and they can take advantage of the ignorance of others and buy at an unduly low price. They get dividends which should go to former 284 ACCOUI^TING AND AUDITING owners — or should have been paid for by a higher price when the stock was sold. If, when a final set- tlement is made between partners, the property on hand is understated, the partner selling out receives less than his due share. If an executor in settling an estate undervalues the property of that estate, and .by will the income belongs to one person and the property to another, that which ought to be cred- ited to the property may be included by this error in items to be given to the recipient of the income. Only an absolutely correct statement of values adjusted to a definite time provides with certainty that each per- son shall receive the proper sum in any bargain or other settlement based on that statement. For this reason accounts should be made exact and no ascer- tainable value should be hidden. It may seem to some as if the method of deter- mining profit on merchandise, as shown in Chapter IV., confuses the profits of two years and may antici- pate future profits or neglect present losses. By the method described, profit on sales is determined by subtracting from purchases the valuation placed on present stock and subtracting this remainder from sales. It is obviously true that if the valuation put on merchandise at the end of the year is excessive, the cost of sales is by that much reduced, and profits are by that much overstated. It is true, therefore, that an overstatement of inventory does inflate this year's profits; but that is not the same as sa^dng that this year's profits are dependent on a realization in the future of the inventory value now placed on merchandise. If the inventory value is correct at the day the inventory is taken — is based, that is to say, PROFITS 286 not on expected selling price but on actual cost or on present wholesale price (whichever is lower), — this figure subtracted from the total debits to merchan- dise shows the actual cost of merchandise han- dled during the year past ; and that cost of merchan- dise, when subtracted from the receipts from sales, shows the profit on the goods actually sold within the year. If in the future the inventory value now placed on the stock is not realized, a certain sum will have been lost; but it is not true that the loss has anything to do with the operations of the year just considered. That loss should be borne by the year in which it occurs, and it occurs not in buying, but in selling. A running business always needs a work- ^ing stock of goods, and the stock left on hand at the end of the year is presumed to be essential for its continuance into the new year. The new year must take those goods at their value when it inherits, and any loss sufered on the sale is of no concern to the preceding year. Each year must stand on its own transactions, and though we are never sure what will be the ultimate profit on the total merchandise purchased within ^ year, we may learn what is the profit on that portion sold within the year, and that is the only portion with which the year is concerned. The task of valuation is to get things correct at the time it is made, — and that involves allowance for unsalable, shopworn, and otherwise depreciated stock. It should stand at the figure which is to be used in holding next year responsible for its in- heritance. In most countingrooms profits are in one particu- lar misrepresented. It is common in many trades to m ACCOTJKTIl^G AND AIJDITIM offer a discount for early payment of bills — this dis- count ranging from one to seven or eight per cent. Usually, as has been indicated in the chapters on bookkeeping, discounts taken by customers are deb- ited to Merchandise Discount, and discounts taken by the business itself are credited to that account. Un- less one analyzes the meaning of the prices entered on bills, this seems to be an accurate and satisfactory method, but it neglects the fact that the billed price for the goods is not the natural price. The natural price of most goods manufactured in a competitive market — and nowadays that is the common market — ^is the cost of production, and this means the direct cost for labor, for materials, and for other manufac- turing service, plus interest on the investment, the salary of the person conducting the business, and compensation for the risks involved. If a man can afford, when he gets immediate cash payment, to sell goods at $95, but actually on the bill enters the price of $100 and adds a statement that five per cent, dis- count will be allowed if payment is made within thirty days, it is obvious that the difference between the $95 and the $100 has nothing to do with the cost of production of the goods. The extra five dollars, if paid, is compensation to the merchant for two things, — for interest because of delay in payment, and for the additional risk he takes in trusting his customer over a period of time. It is not true, there- fore, that a business house loses when a customer takes a discount; for allowance of that discount is no more a loss than handing back change to a cus- tomer who in buying goods over the counter presents currency of excessive denomination. It is true, of PROFITS m (jotirse, that if the customer did not pay until the end of thirty days, the profit would be five dollars larger, and this profit is lost if discount is taken; but it is equally true that if a customer offered five dollars for an article priced at four dollars and a half and refused to take the fifty cents in change, the business would be making a profit ; and, as a matter of fact, if it gives him his change, it loses what otherwise would be profit. Yet it would be absurd to say that change measures loss. It is equally absurd to say that dis- counts given are losses. The ordinary method of charging discounts as losses, therefore, entirely mis- represents facts. This would not be a serious matter, however, if it were true that calling discounts losses worked equally as between purchases and sales. In both cases the discount is an amount subtracted from the billed price of the goods : for sales, a neglect on the part of the buyer to take discounts is a clear gain to the seller — provided payment is finally made at the full price; but it is not true, with regard to pur- chases, that the taking of a discount is a gain to the buyer; the fact is that the failure to take a discount is a loss to the buyer. The situation can be under- stood only if we realize ahvays that the natural price of the goods is not the billed price but the discounted price. If the selling firm collects more than the dis- counted price, it is making an extra gain; on pur- chases, however, it is not making a gain when it pays the discounted price, but is making a loss when it pays the billed price. Books of account, therefore, should regard as losses only discounts neglected on purchases, and should represent as gains not dis- 288 ACCOUNTING AND AUDITING counts taken on purchases, but discounts neglected by customers. It is natural to think that if the discounts taken on purchases are as large in amount as the discounts allowed on sales, the business has lost nothing by neglecting to take discounts offered to it by its cred- itors. A little thought shows that this is entirely a misunderstanding of the situation. It is not neces- sary, in order to make profits out of the neglect of customers, that one shall on one's own side neglect to take discounts offered by one's creditors. The two things have no necessary connection. One may both profit from the neglect of customers to take dis- counts from the billed price, and avoid the loss from neglect to make early payments on one's own pur- chases. In view of the fact that the discount offered for early payments for goods is usually at a consid- erably higher rate than normal interest, it is the part of wisdom for any business with good credit to bor- row money at normal rates and take all discounts, rather than to allow any to pass. If goods are sold at such terms that the full billed price must be paid in sixty days, and five per cent, discount will be al- lowed if the bill is paid in ten days, it is obvious that the five per cent, is allowed for fifty days' time — that is, five per cent, discount is allowed if the bill is paid fifty days earlier than the latest time mentioned. This rate of five per cent, for fifty days is equivalent to thirty-six per cent, a year. It is the height of fool- ishness for a merchant to pa}^ thirty-six per cent, a year if he can borrow at six per cent. This fact is brought home to merchants usually, however, only if their books show them what is the actual loss each PROFITS 289 year by neglect to take discounts. To set off dis- counts neglected by customers against discounts neg- lected by the business is to count a chance gain against an unnecessary loss. No man will wisely put those two things into the same scale ; for he will see at once that he may as well realize chance gain and at the same time escape the unnecessary loss. The method of accomplishing this is to shift the usual point of view with regard to discounts. We have no interest in discounts taken, for the natural price of goods is based on the assumption that dis- counts will be taken. Profit and loss lies only in for- feiture of discounts. Since merchants do not know whether discounts will be taken, however, they must bill goods at the full price. In any case, therefore, whether the disccjunt is taken or not, the extra sum should be deducted ultimately from the entry to Merchandise. It is desirable that goods shall stand on the books at the lowest price at which they can be bought; but the usual method enters them at the full price and then makes a contra entry for discounts actually taken, disregarding the discounts not taken; so usually the merchandise account on the books rep- resents neither one thing nor another, for some goods are entered at discounted cost and some at full billed cost. Under this unfortunate method a firm with such poor credit that it never takes discounts, since it debits all purchases at the full price and then never makes a credit for discounts offered, has a higher valuation on its books for its merchandise than a firm always taking discounts. This is an absurdity. The only proper valuation for merchandise is the natural price, or, as has been suggested, the lowest price at A & A-19 ^90 ACCOUNTING AND AUDITING which they are offered for sale. The proper method is to enter Merchandise for full billed price, so that the books of both parties may agree, and then at set- tlement make a contra entry for the largest discount offered, whether that discount was taken or not. This leaves Merchandise with a proper debit or credit. The other half of the entry will depend on circum- stances. If discount is taken on purchases, the entry is merely a debit to the creditor for the amount cred- ited to Merchandise — that is, the amount of discount; this, with the cash payment, closes the creditor's account, as it should. If the discount is not taken, the debit should be to Neglected Discount for the amount credited to Merchandise; for this amount is an extra payment made to the creditor above the natural price of the goods and is a loss due to neglect of prompt payment. The reverse of these entries would be made for customers' accounts, — with the substitution, however, of Collected Discounts for Neglected Discounts. Collected Discounts is a gain account. It must go in part to offset, at the end of the year, losses from bad debts — for of course there are no such losses on cash sales.* Misapprehension sometimes arises with regard to profits on contracts for future delivery. In case of a dissolution of a firm while contracts are in progress, the retiring partner naturally thinks that the profits already gained should be divided as a part of the gen- eral profits of the business. The continuing partner, *The bookkeeping for these entries is easy to provide. Special columns in the cash book for Neglected Discounts, Collected Discounts, Merchandise, Dr., and Merchandise, Cr., furnish the medium without requiring moM labor than that required by the common treatment of discounts. MOFITS S91 on the other hand, naturally thinks that the profit on any contract is never really known until the last stroke of work has been done. In all contract w^ork unforeseen circumstances are likelv to arise and wipe out profits previously in sight ; it is, indeed, in part just for this reason that so much work is done on contract, for clients believe that persons experi- enced in a special line of work are better able to cal- culate, and, therefore, to endure risks, than are others. It is true, therefore, that there is no such thing as known profit on a contract until the contract has been absolutely completed; and theoretical profits should not be entered on the books of con- tracting firms. In the case of dissolution, where some sort of settlement must necessarily be made, and one partner or the other insists on allowance for apparent profit or loss on contracts, a special agree- ment should be made. It is never safe to assume that merely because the present value of the work done shows a profit of perhaps fifteen per cent, on its cost the whole contract will show the same percentage, or anything approaching it. The only correct method is to reach an agreement between the partners as to what is the probable cost of completing the work, to add this sum to the cost of the work already done, and to consider the difference between the total and the contract price as profit or loss. Since, more- over, a part of this profit will be actually earned in a later period — that is, in completing the contract, — only a portion of this profit can be said to belong to the year in question. If the partners agree on such a division of apparent profits, no reason can be given why it may not be made; but for any partner to de- 292 ACCOUNTING AND AUDITING clare that the apparent profit is actual, and to insist that he shall receive his pro rata share, is to reason without regard to the common experience of busi- ness. The continuing partner may justly demand that he retain a considerable margin of apparent, profits to cover contingencies, or that the retiring partner give a bond to cover his share of any losses that may prove to have been sneered on' contracts in which he was interested. Expenditure on an un- completed contract may usually be counted as a good asset unless the contract is already known to involve ultimate loss — in which case it should be written down; but in no case, even in corporation accounts, should profit be counted on a contract as of any year before completion unless the work is so near com- pletion that the danger line has been safely passed and the cost of completion is virtually known — with a safe margin. It must be understood, however, that if what is nominally one contract be really several contracts, each with its own contract price for com- pletion, profit may be safely figured on each as soon as settlement for it is made. Losses on other con- tracts completed in future years do not affect the actual profits on any contract completed in this year. If any contracting firm has knowingly made some unprofitable contracts in order to secure other profit- able contracts, the situation is slightly altered; but it would be hard to deny a partner's or a stock- holder's right to profits made on the profitable con- tracts if these were completed at the time of settle- ment and the unprofitable contracts were still in progress. The burden of proving that the several PROFITS 3d8 contracts were really one contract would be on the objector. One item which is likely in careless bookkeeping to be treated as if it were profit, though in reality it is not so at all, is premium on stocks and bonds sold by an issuing corporation. As has already been indi- cated, premium on bonds is due to the fact that the bonds pay interest at a higher rate than is usual for investments of equal security, and this higher rate, being of the nature of an annual payment, has a value in the market — just as any source of income has an ascertainable value. A corporation which has issued bonds at a premium, then, has simply bounij itself to paying an unnecessarily high rate of interest for a number of years. This high rate is not a loss, however, for the premium is a present lump sum given as compensation for the high interest to be paid in the years covered by the life of the bond. The premium is therefore just as much an obligation to be met as is the face of the bonds — ^though it is to be met not in a lump sum, as is principal, but in an- nual installments. It should be treated on the books in very much the same way as principal, therefore, and appear on the balance sheet as a liability; since, however, it is a liability not measured by the par value of the bonds, and not represented by any other common sort of demand or claim, it should appear on the books under a title w^hich shall show exactly what it is; and as each year's installment of interest paid decreases the obligation remaining (since fewer an- nual payments will remain to be made), this account should be written off until at the maturity of tho 294 ACCOUNTING AND AUDITING bonds it will have disappeared. It is commonly called ^'Premium on Bonds Issued/' Premium on stocks issued is of somewhat dif- ferent nature, for, although stocks are a liability of the corporation in the sense that the account repre- sents property for which the corporation is respon- sible, the corporation is not under obligation to pay back the money so obtained. Premium paid for stock, then, is of the nature of capital invested by the sub- scribers, and is really just so much added to the cap- ital investment. To consider premium on stock as profits is an error akin to treating as profits the orig- inal par value. There is no sense in which such pre- mium can be considered anything else than capital investment, and it must always appear on the books and on the balance sheet as capital, — ^preferably des- ignated under a title indicating its origin, such, for instance, as ^^ Premium on Stock Issued," or ^^ Pre- mium Surplus." It is obvious that discount on bonds issued is no more a loss than premium is gain. We saw in the chapter on depreciation that when a bond is bought at a discount its approach to maturity raises its value, for the low rate of interest is approaching ex- piration; and the reason it sold at a discount was that the rate was too low for the risk involved. The cor- poration issuing the bond, in other words, accepted a low price for the bond because some one lent money and agreed to accept less than the rate of interest common for security of that class. The corporation gets back in a low interest rate what it loses in dis- count. The exchange is a fair one. The discount is a good asset — ^it measures the value of immunity, for PEOFITS 295 a period of years, from the normal interest rate. It may appear on the balance sheet as *^ Discount on Bonds Issued." As the bond approaches maturity, however, the value of the asset declines, for the life- time of the immunity is declining, and the account must be written down. Discount on stock, on the other hand, is simply the measure of deficient capital — it measures the de- ficiency of actual as compared with nominal capital. This is shown in the chapter on the peculiarities of corporation accounts. Depreciation we have seen to be one of the ex- penses of operation, and it must be clear that the amount to offset depreciation — either when repairs and replacements are able to keep the property in- tact, or when certain smns are set aside for replace- ment at the proper time — must be met out of the product for the year: it is not, that is to say, to be tak- en out of the profit, for profit consists of what is left after all expenses have been met; and, since deprecia- tion is one of the expenses, there is no profit until the amount of allowance for depreciation has been sub- tracted from the product. This distinction is funda- mental; and neglect of it has often led in business both to a misstatement of facts and to a serious mis- understanding on the part of many business men as to the real profitableness of an undertaking. It must be clearly understood that all allowances for depreci- ation are just as much costs of getting product as are wages, interest, taxes, insurance, etc. : only when all such charges have been absolutely met is there any profit to be recognized. The reason that this sit- uation is not fully realized is that very commonly the 296 ACCOUNTING AND AUDITING depreciation goes on out of sight and to great extent out of mind. If a machine produces fifty thousand articles per year and is worn out to the amount of $500 in the process, it ought to be obvious that the five-hundred-dollar shrinkage in the machine has gone into the cost of the articles produced ; in other words, instead of having a certain amount of money in a machine and no goods as we had at the beginning of the year, we have at the end of the year a smaller value in the machine and an equivalent additional value in goods or in what the goods have brought, — that is, the machine has converted its iron and steel and wood, in the form of machinery, into product in the form of cotton goods, woolen goods, steel tools, or what not. The machine is as truly consumed as is the raw material. When we have counted all the causes of shrink- age in property, and all the causes of increase in property — as shown by the earning accounts, such as rent, commission, interest, sales, etc., — we have a definite figure of profit or loss at the end of the earning period. The task remaining is to dispose of those profits so that they shall be available for equitable distribution to the owners of the business — whether a single proprietor, partners, or stock- holders. To distribute all profits outright, at least in a corporation, is almost universally considered bad policy, for every business is subject to fluctu- ations of fortune. Very few years fail to give results somewhat higher or lower than the average of a se- ries of years, and unless the owners are willing to suffer considerable variations in the amounts actu- ally withdrawn from the business they may well PROFITS 297 liold back in prosperous years a portion ot profits to be used in lean years for eking out dividends. The possibility always is at hand, moreover, that some error has been made in the judgments on which are based the calculations determining profit. As we have seen, the figure for depreciation is, to great extent, an estimate based on pure judgment. If new machinery destined to supplant old is invented soon after equipment is installed, a manufacturer may find his assets shrunk in value by many thousands of dollars. It is the part of conservatism, even after one has taken out of product all one thinks necessary for a probable shrinkage, to set aside a sum for unforeseen and unpredictable contingencies. Con- flagrations so serious that insurance companies are not able to meet all their liabilities occur now and then; earthquakes demolish property; whole trades are destroyed by changing tastes, changing habits, changing economic and political conditions. All these things show that it is wise for a corporation or other busine'^s organization to set aside regularly out of profits in all years except the poorest certain sums which shall enable them to meet unforeseen losses. These sums ordinarily would appear on the books as subdivisions of the profit and loss account. As we have already seen, the profit and loss account normally will have a credit balance, and if dividends paid are less in amount than the amount standing to the credit of that accoimt, the balance is simply a surplus held back for contingencies. That amount held back may re- main either under the head of Profit and Loss, or under some new title to indicate its purpose, such 298 ACCOUNTING AND AUDITING as Reserve, or Depreciation Reserve, or Security Reserve. Sometimes such an account is called ^'Re- serve Fund,'' or ^^Depreciation Fund." It must in any case be realized that these accounts are purely nominal. They explain the fact that of the total assets of the business some are profits, and that these are not to be distributed as profits, but are held for special purposes. These accounts serve to measure the amount of assets set aside from prof- its as a margin of safety. If, on the other hand, the corporation wishes to set aside specific assets for specific purposes — to label them, so to speak, — it will invest some of its assets in special funds and will give each fund a name to indicate its purpose. In such a case, the reserve will appear on the credit side of the balance sheet, to show the origin of the property (that is, profit reserved), and the property in the fund will appear on the debit side of the balance sheet as an asset. When the item does not appear on the debit side, no specific property is set aside: that is, the reserve is simply an excess of assets somewhere, anywhere, in the property — but not designated as a particular bit of property. We have so far been working on the supposition that the books represent affairs as they are. Unfortu- nately, this is not always the case and a different result is sought frequently by men who have the highest ideas of truth and justice. Many men wish to make sure that they have not overstated their profits, and in making up their figures for the end of a year they habitually take the precaution of record- ing expenses as a little larger then they really be- lieve expenses to be. The result of this is to assume PEOFITS 299 that the property is iu)t quite so valuable as it really is; that is, in order to be on the safe side they assume depreciation to be larger than it really is. Some- times repairs and replacements have not only kept machinery and other equipment in good condition but have been of such nature and of such extent as to make the property really better than it was before ; and yet the full cost has been charged to mainte- nance as an expense. On a railroad, for instance, it is common to improve the line continually by put- ting in heavier rails, better ties, better ballast, better bridges, better buildings, and yet charge the cost to operating expense. Obviously, so far as these expen- ditures have produced a better road, the excess can quite properly be charged to capital. When this is not done, on the contrary, the charges are included as mere repairs, the whole cost is taken out of the product of the year, and profits are reported smaller than they really are. The excess exists in the road; but since this excess does not anywhere appear on the books as an asset, it constitutes what is commonly called a ^^ secret reserve." It is unquestionably good business policy to pro- vide ample reserve to improve constantly one's facil- ities for doing business, — unless, indeed, the pro- prietors intend to retire from business ; but since the purpose of accounting is always to show facts, any bookkeeping process by which reserves of any sort are kept off the books is reprehensible. It is nothing but a lie pure and simple, and however harmless it may be in intent, it is unscientific. Those who defend this method of creating reserves commonly do so on the ground that stockholders would foolishly 300 ACCOUNTING AND AUDITING demand further dividends if they knew the f^cts. Whether stockholders are wise or foolish, they have the right to know the facts. One reserve created with the full knowledge of all interested persons is often so far misunderstood that it is not commonly known to be profit. When a sink- ing fund is created out of profits, in accordance with a legal provision in a bond, for the redemption of debt, it is reported on the balance sheet as a liability. It is established on the books, of course, by a debit to Profit and Loss, or Surplus, and a credit to Sinking Fund. It appears to be the mere satisfaction of a legal liability. As a matter of fact, however, that legal liability is not really a new one, or an addition to the liability covered by the bond itself ; it merely specifies how the principal liability shall be dis- charged. The sinking fund is profit when set aside, and it continues to be profit even when used. Profit may be invested in the payment of liabilities as well as in the purchase of assets. If the fund has been set aside out of profits the assets must be in the busi- ness — else there were no profits to set aside. When these assets are used to pay debt, they, with the debt paid, disappear from the balance sheet ; but the sink- ing fund remains on the balance sheet, for nothing has happened to cancel it. It is now, as it always was, a mere measure of reserved and labeled profits ; but now that the assets which constituted the real fund have been applied to the designated purpose, the fund is set free and the label may be removed. To invest surplus earnings in paying off debt no more destroys their character as earnings than does pur- chasing merchandise or other assets: in both cases PEOFITS i 301 the net earnings have made possible more net assets. The situation is quite the same, except for the con- venience of the label, as if from the start the sinking fund had been called simply ^^ surplus." We must now note that it is 'commonly worth while to distinguish between diflPerent kinds of profit and loss. We have been considering chiefly the profits of normal primary operation; but many busi- nesses have not only common outside operations, but extraordinary occasional profits and losses. Ex- amples of the common outside operations are out- side bond and stock investments, and ownership of real estate not used in the business. Let us first examine extraordinary gains. If the business owns land and buildings which it has been using in the ordinary course of its trans- actions, and, because of a change in conditions in the town or city where it is located, its land has risen largely in value and it sells at a high profit, that gain, though distinctly profit, is not really profit of the year in which it has been realized nor is it profit of operation. It does belong to the proprietors or stockholders; but if the books allow it to appear as of the ordinary type, they are seriously misrepre- senting the facts. Such gains may be, of course, dis- tributed to stockholders; but the books should show very clearly, and the declaration under which the dividends are sent out should state very clearly, that this is of an extraordinary nature, the like of which is not expected to occur very often. Because things of this sort are likely to happen now and then, it is desirable that ordinary profits, i. e., profits from normal sources, shall be carried to 302 ACCOUNTING AND AUDlTlNa an account distinguished from general Profit and Loss. Such an account may be called ^'Earnings." To it should be credited all earnings from the primary operations of the business — that is, revenues from the operations which the business was prima- rily organized to carry on, — and to it should be debited the expenses which have been incurred in securing those revenues. Tlie balance of this account may then be transferred to an account called ^'Income." Similarly, to Income should be added normal revenues from outside operations, like interest and dividends on investments, and rents on real estate. The balance of Income may then be transferred to Profit and Loss, and there meet all extraordinary gains, such as that assumed above on real estate. These three accounts together give a complete statement of the business of the year, showing how far the business is successful in its primary opera- tions, how far outside interests affect its profits, and how much extraordinary relations have yielded it profit or caused it loss. Many business men deem it wiser in the case of extraordinary profit, such as that assumed above on real estate, to carry the gain directly to surplus or reserve accounts, and thus avoid the temptation to distribute it as dividends: they think that this should always be reserved and held available to cover extraordinary losses and by so much relieve the ordinary earnings from the necessity of contributing to such reserves. This is a matter of administrative policy which affects the accounts only as the accounts must register it. When we turn .to the other side of this aspect of extraordinary circumstances and look at losses, we PEOFITB 303 see even greater need of making distinctions. If, instead of an increase in value of real estate, the business which we were just discussing should find that its property had fallen heavily in value because of changed business conditions, and that it could no longer transact its business in the old quarters, it would probably be forced to purchase or hire new property at far greater expense than could be cov- ered by the sum realized from the sale of the old. This loss ought not to be charged as expense of the year just passed, however; it would be a loss of capi- tal, and would have no relation to the profits of the year. Though this loss in the value of real estate might amount to $100,000, the profit of the year might still be $20,000; for the actual profits of con- ducting operations are not affected by changes of values not produced by tJiose operations. It might be true that if the business were obliged to sacrifice many of its assets in the purchase of the new real estate required, its profits in succeeding years would be very much lower, for it might not then have enough working capital; but that fact would not in the least alter the situation for the year just past. The profits of this year would still be $20,000; and the shrinkage for the future would be due to a loss of capital assets because of changing conditions, and to that only. It is feasible for a concern which has suffered such a loss to distribute its $20,000 earn; ings in the form of a dividend. It ought, however, in doing so, to point out to all stockholders that, although this is an earning, the enterprise has suf- fered a loss of capital to the amount of $100,000. The stockholders may prefer to forego dividends for a 304 ACCOUNTING AND AUDITING while and to restore their capital out of earnings. In many cases this would be done. What shall be done, however, is a matter of policy; and accounting has only to record the facts. The accounts must show the shrinkage of capital until capital is restored. If the surplus, or reserves, are not large enough to cover the shrinkage, a deficit must be shown on the balance sheet — ^unless, indeed, the amount of capital stock is reduced by calling in stock and issuing either fewer shares or shares at a lower Dar value. CHAPTER XII THE INCOME SHEET We saw long ago that it is convenient to use the trial balance as a basis for a six-column statement which shall show profits and losses and resources and liabilities. The loss and gain columns of a six- column statement may in a sense be called the * in- come sheet.'' As already suggested, however, cor- porations making reports to their stockholders do not usually use this form, but substitute a different arrangement of the items. We saw in'the last chap- ter that it is desirable to distinguish on the books between different sorts of gain, and we may well continue the distinction through the income sheet. A good income sheet will make it possible to com- pare the gross gain from the primary business with the cost of conducting that business, so as to show the ratio of net profit of that primary business to the amount of business done; it should show the income from external sources of revenue, so that these may be compared with the investment in exter- nal enterprises; it should show extraordinary and chance losses and gains; and, finally, it should show not only what is the final net income but what is done with it, — that is, how much is distributed as divi- dends and how much is laid aside for surplus or for special funds. An income sheet is good or bad in 305 A & A-20 306 ACCOUNTING AND AtJDiTlNa form just in the degree by which it shows clearly the relations between these various elements of loss and gain. An income sheet may take the form of either a table or a group of accounts. We have seen that in ledger accounts no subtraction is ever made. An income sheet presented in ledger form, therefore, will show three separate accounts, each with its bal- ance added to the contrary side. A sheet constructed on the tabular method, however, will show subtrac- tions and no transfers of balances. Let us take first the ledger form. If a corporation is engaged prima- rily in trading, the first part of the income sheet is usually called the ^^ Trading Account;" if in a manu- facturing and selling business, this part is called the ** Manufacturing and Selling Account;" if in render- ing services, as is a railroad corporation, this part is called the ** Operating Account." It is not usually necessary to place the items com- ing from outside sources of income in an account entirely by themselves, for the addition to these of the net balance of the Trading Account, the Manu- facturing and Selling Account, or the Operating Account, is usually desirable in the end, and intro- duces no confusion. This combined account is usually called the ^* Income Account." Its first item is usually the net balance brought down from the Trad- ing Account (or other account for primary income) ; to this credit balance are added all other sources of income; and all expenses or losses from normal out- side relations are charged to this account. The net balance of the Income Account is then carried as the first item to Profit and Loss. THE INCOME SHEET Sor To Profit and Loss, after the balance of Income has been brought down, may be carried income from extraordinary sources, — which may or may not be available for dividends, according as the directors vote to distribute that extraordinary gain or carry it to surplus. If this is not destined for dividend purposes, it should be carried at once to surplus. Debited to Profit and Loss, of course, are extraordi- nary losses, dividends declared, and any sums trans- ferred to special reserve accounts. Unless the profit and loss accoimt is to be used as a surplus or deficit account, it will disappear in closing the books at the end of the year. If it is so used, a balance on the credit side is surplus, and on the debit side is deficit. To use it as a surplus account is undesir- able, however, for when it is so used no account shows as a balance the net gain or loss for a single year. The net gains or losses for each year are lost in the mass of general profit and loss balance and must be picked out if they are to be known. Profit and Loss may better be opened afresh and closed for each year ; any balance should be carried to Surplus or to Deficit. This Surplus or Deficit is clearly a connecting link between the income sheet and the balance sheet. The income sheet is intended to show gains or losses occurring during the year, and the balance sheet to show results at the end of the year. So far as gains are not distributed, or are distributed in excess of revenue, the balance remains at the end of the vear and therefore belongs on the balance sheet. This ledger form of income sheet is shown below: kCCOVmim AND AtJDiTINft TRADING ACCOUNT Purchases 525,000 Sales 675,000 Wages and salaries Expenses Bad debts 50,000 Inventory 25,000 3,000 100,000 Depreciation Balance 5,000 67,000 675,000 675,000 INCOME ACCOUNT Losa on mortgage Balance 2,000 Balance Tra( 68,000 Interest and ling Acc't Dividends 67,000 3,000 70,000 70,000 PEOFIT AND LOSS Loss by defalcation 10,000 Balance Income Acc't 68,000 Dividends Depreciation fund 50,000 Surplus 10,000 2,000 70,000 70,000 In the case above, the loss on the mortgage is considered to be normal, incidental to outside opera- tions, and is therefore charged to income. The loss by defalcation, however, is considered to be extra- ordinary and therefore not charged to either Trad- ing Account or Income Account. It reduces the amount of surplus; for if this defalcation had not occurred Surplus would have been credited $8,000, whereas it is actually debited $2,000. The total in- crease in reserve (after dividends have been pro- vided for) is actually $8,000,— $10,000 is added to the depreciation fund, but of this only $8,000 has come from revenue, for $2,000 has been transferred from the general surplus. Now let us see the same income sheet arranged in tabular form. 5,000 508,000 3,000 2,000 67,000 1,000 68,000 50,000 10,000 10,000 18,000 20,000 THE INCOME SHEET 309 Sales $575,000 Purchases $525,000 Inventory . 100,000 Cost of goods sold , $425,000 Wages and salaries 50,000 Expenses ^ 25,000 Bad debts 3,000 Depreciation Cost of sales Trading profits Interest and dividends on investments Loss on mortgage Other income Net income, available for dividend Dividend Surplus for the year Loss by defalcation Added to depreciation fund Net reduction of general surplus 2,000 These figures are the same as the others, and show the same groupings, but they form a single series, with both additions and subtractions, where- as the others were split up into distinct accounts with many contra items. Very few corporations publish income sheets of much value to one who is trying to interpret the accounts from the outside. It is common for corpor- ations to combine operating expenses, taxes, and depreciation, and to subtract them in one lump sum from the gross earnings. The result is a figure which is virtually unmeaning.' Taxes are to great extent independent of management, and their com- bination with operating expenses, which are much affected by good or bad management, produces a figure which means neither one thing nor the other; for it is an adequate test neither of the government 310 ACCOUNTING AND AUDITING demands on the corporation, nor of the economy of management. Since, moreover, depreciation allow- ances are, as we have seen, largely a matter of judg- ment, and here they are not shown independently, we know from these figm'es really nothing about the policy of the corporation in this very important particular. A fundamental principle of good report- ing is that items which are the result of different kinds of activity shall be kept separate. An income sheet, to be of any value to a reader, must show the operating figures absolutely independent of other figures; then the reader may compare the total ex- pense of operation with the total gross earnings, and learn about what percentage is maintained between the two. The Interstate Commerce Commission, which is by law authorized to prescribe the forms of report for railroads, arranges the consolidated income fig- ures for each railroad so that we see things in their natural relations. The first figure is the gross earn- ings from operation — which includes all earnings coming from the direct operation of the road inde- pendent of income from extraneous sources. The next item is so-called operating expenses, which may be defined as those expenses incurred in acquiring the gross earnings previously shown. The difference between these two figures is the **net earnings." It is customary for persons attempting to judge of a railroad's activity to find what is called the ^^operat- ing ratio" — that is, the percentage between the operating earnings and the operating expenses. On some roads this percentage will run higher than eighty, on others lower than fifty. On most roads THE IlSrCOME SHEET 311 it falls between sixty and seventy-five. If we know the road to be in a part of the country where the expense of maintenance, because of the climate and level roadbed, is small, and where labor and fuel are inexpensive, we expect to find a rather low operating ratio. Unless, indeed, we know a road to be excep- tionally well kept, or to be recovering from a period of deficient maintenance, Ave suspect at once that an operating ratio of seventy-five per cent, indi- cates wastefulness in operation. If, on the other hand, we find a road whose expenses are inevitably large — because of the nature of the country through which it runs, of the expense of its fuel (perhaps because of long hauls), and of the high rates of wages, — w^e are a little suspicious of an operating ratio of lower than sixty per cent.; we suspect at once that false economy has led to failure to keep the roadbed and the equipment in good condition. These illustrations are intended not to pass judg- ment on railroads, but to indicate that the figures desired on an income sheet are those that can be com- pared, — that is, figures pertaining to the same thing, as, here, earnings from operation and expenses of operation. Recently the Interstate Commerce Commission has required roads to distinguish between strict transportation operations • and other operations. Consequently the operating revenues and operating expenses heretofore treated each as one item now comprise two items and the net result is shown for both transportation operations and outside opera- tions. These results recombined show net revenue. From this net revenue is subtracted taxes. Until 312 ACCOUNTING AND AUDITING lately taxes were taken out only after other income had been added. They are now deducted at this point because primarily they are fixed operating charges. The next item on an Interstate Commerce Com- mission income sheet is usually ^* other income." This includes rents earned, interest on bonds and dividends on stock owned by the road, and any in- come from miscellaneous sources. The sum of the net revenue and the other income produces gross income. We have now to subtract the expenses or costs independent of operation — such, for instance, as interest on bonds issued by the road itself. The remainder is *'net income." Not many years ago some roads were in the habit of reporting their own declared dividends in a lump sum with interest on their bonds. From one point of view these things are similar, but from another they are widely un- like, for bond interest is obligatory, whereas the payment of dividends is voluntary; and the only means we have of judging how far the distribution of dividends* is justified is to see what relation they bear to the amount available for dividends. All involuntary expenses not already provided for should be subtracted from gross income before voluntary payments like dividends are introduced to confuse the result. When taxes were included in this group of expenses, the group as a whole was usually called '* fixed charges," for these would usually continue even if the road ceased operation. The net income is of course available for divi- dends. From this the dividends are subtracted, and THE INCOME SHEET 313 t) if J balance is surplus for the year. This surplus may be reduced or eliminated by transfer to separate reserve accounts or to the general surplus. An in- come sheet constructed by this method is shown below. Gross earnings from transportation Operating expenses for transportation $32,046,656.56 20,545,533.12 Net transportation earnings Expenses of outside operations Receipts from outside operations $412,859.64 336,509.44 11,501,123.44 Deficit from outside operations 76,350.20 Net revenue Taxes 11,424,773.24 867,209.03 Net operating income Other income 10,557,564.21 1,632,659.89 Gross income Interest, rentals, etc. 12,190,224.10 9,881,088.47 Net income, available for dividend Dividends paid 2,309,135.63 519,742.12 Surplus for the year 1,789,393.51 The form of income sheet just illustrated does not cut up the total into groups quite similar to those previously described, but it produces the result there sought. In every case the accountant must decide what is the clearest form. Persons not familiar with bookkeeping are likely to be puzzled by the balances transferred from side to side in the ledger form, and therefore income sheets for general publication are likely to serve their purpose best when pre- sented in a single table, as above and on page 309. For corporations engaged not in earning profits but in administering funds for general w^elfare, such as public libraries, hospitals, etc., income from ex- traordinary sources — ^legacies, for instance — ought 314 ACCOUNTING AND AUDITING to appear in connection with the income sheet be- cause if unrestricted they affect the total amount which these institutions may currently expend for public good. Yet if these legacies are not needed for current expenses, they may be added to capital. Both possibilities should show. For such institutions, therefore, the income sheet is far more complicated than for the ordinary type of commercial enterprise. In any case it must be realized that income from whatever source if not paid out in dividends or absorbed by expenses must go ultimately to swell a balance on the balance sheet; and, therefore, we shall find the income sheet and the balance sheet tied together by one common item in spite of the fact that usually an income sheet may be said to contain only nominal figures and a balance sheet to contain only real figures. This common item arises from the fact that the final balance of income is in one sense no longer nominal, for it has become real when at the end of the year the books are closed and the amount remaining is carried as a claim of the stockholders to property in the business. This surplus (or reserve, or undivided profits, or balance of profit and loss) belongs to the stockholders as much as any items credited to any creditor of the company; it differs from capital stock, which is recog- nized as a liability, only in that the capital stock belongs to individual stockholders, as shown by cer- tificates of stock stating how much each stockholder owns, whereas these surplus accounts represent sums not yet divided among the stockholders but held for stockholders as a whole. CHAPTER XIII THE BALANCE SHEET Let US now examine the balance sheet and see in what form it will give the maximum information about the condition of a business. The purpose of the balance sheet, as we have seen, is to show the amount of property in the business, or, primarily, its solvency, — that is, how far its property is in excess of the claims against it. With this fact in mind it is easy to see that the sheet should be so arranged as to indicate not only what is the ultimate solvency — that is, how much in the course of time may be realized on property as an offset against debts, — but also how much of the property can be converted at once into a medium for paying debts. Many a corporation which has proved perfectly sound, when given all the time it wanted to make collections and to sell a part of its property, has been forced into bankruptcy because its liabilities were immediate and its assets were rather remote. In those cases bankruptcy was simply a legal device to extend the time for paying debts. In many such cases every cent of indebtedness was paid. A balance sheet does not really perform its services, therefore, unless it presents items so arranged that one may see by it what are called quick assets and compare them with current liabilities. Indeed, the balance sheet will 315 316 ACCOUNTING AND AUDITING serve its purpose best if it is cut up into several groups of items. The arrangement of these groups may depend in part upon the purpose for which this particular balance sheet is presented. A person who is thinking of investing in a business, for example, is concerned quite as much with its ultimate solvency as with that which is immediate; but a person who is thinking chiefly of lending to it is concerned more with its immediate solvency. On general principles, however, persons examining a balance sheet are concerned much more with the really ultimate value of the property than with its immediate use, and, therefore, they are usually interested primarily in its capital items. For that reason the capital items, which constitute a group by themselves, are usually placed first; these are followed by the current items; then usually by items accrued, though not yet due; and, finally, by items which are more or less subject to chance, and may be called *' contingent." Let us analyze a balance sheet with this grouping in mind and observe its arrangement. The first group, or capital items, on the assets side comprises the fixed property, — such as real estate, plant and machinery, permanent investments, etc. The capital liabilities are not only capital stock, or proprietor's investment, but also funded debt, or bonds and mortgages running for a term of years. Very commonly funded debt is actually permanent though nominally it has a limited term; for most corporations pay off debt by borrowing anew. In many lines of business capital assets and capital lia- bilities are nearly equal. The reason for this corre- spondence lies in the fact that the primary function *HE BALAKOE SHEE* Si* of capital is to furnish the means with which busi- ness is carried on, and in many lines of business the chief means is permanent property. A certain excess of capital, however, is usually necessary in the form of what is called ' 'working capital," or property which is available immediately for current use. It is likely to happen, therefore, that the capital liabili- ties will be in excess of the capital assets, the differ- ence being just this working capital. That is not always the case, however, because, as we have seen, siu*plus may have been accumulated, and this surplus may have been invested in the form of capital assets, such as real estate, stocks, and bonds. In that case, of course, the capital assets will be actually in excess of the capital liabilities, that excess arising from surplus which is really capital, though not usually included in the capital group of liabilities. Surplus, indeed, will usually stand on a balance sheet in a group by itself, for it may be either capital, if in- tended to be permanent, or current, if temporarily set aside with the intention of distributing it later as dividends. The current items would include usually on the assets side Bills Eeceivable, Accounts Receivable — as customers' accounts are commonly called — and cash. Each particular line of business is likely to have its own current assets slightly different from those of other lines; a railroad, for instance, will have sums due from other roads, and collections due from agents and conductors. The current liabilities, on the other hand, will include Bills Payable, Accounts Payable — or sums due to creditors, — and other items peculiar to different lines of business — such, for a 318 ACCOUNTING AND AUDITING railroad corporation, as sums due to other roads, and audited claims. The position of supplies and ma- terials on a balance sheet varies with different lines of business and with different firms in the same line. Some accountants assert that since a minimum of supplies and materials, such as raw cotton in a cotton mill, pig iron in a foundry, etc., is essential to the conduct of business, such minimum is of the nature of capital assets and should be so classified on the balance sheet. Other accountants believe that, though supplies are required for the conduct of business, they can be so Teadily converted into cash that they are equivalent to current assets, — even though there is no intention of selling them. Indeed, the position of these items is dependent, like a great many other things in accounting, on the point of view. If we are considering the business as an earning machine whicn IS to go on, supplies are of the nature of cap- ital, no doubt, and yet they are not permanent, as we usually expect capital items to be. They are working capital. If, on the other hand, we are con- sidering the balance sheet chiefly as it throws light on immediate solvency, the supplies are current items, though presumably they cannot be sold for cost if their sale is forced. The real purpose of the current group of items in the balance sheet is not so much to distinguish what can be immediately con- verted into cash as to show those items which in the ordinary conduct of the business can be turned over readily for the purposes of the business; and surely materials and supplies are quite as available for the ordinary conduct of the business as are Bills Re- THE BALANCE SHEET ^ 319 ceivable and Accounts Receivable. For that reason it seems best to place them in the current group. The next group of items, which we may call *^ accrued/' may be said in one sense to belong among the current items. The real distinction between these two groups lies in the fact that the current items have been already entered on the books prior to or at the date shown for the balance sheet as a whole. The accrued items, however, are not sup- posed to be entered at that time, for they have not reached the period of culmination. To consider the current items as a whole, therefore, we must really add all accrued items to those contained in the cur- rent group; the total will be the assets immediately or soon available and the liabilities immediately or soon to be satisfied. On the assets side the accrued items may be rents, interest, and other earnings, which the lapse of time has made good claims of the company, though they are not yet due; and on the liability side the same sort of items (usually includ- ing taxes) will appear as accrued against the com- pany, though they are not yet payable. Concerning the treatment of the last, or contin- gent, group of items, much difference of opinion has arisen. If a small corporation has guaranteed large liabiKties for some other corporation, that guarantee may at some time prove a heavy drag on the guaran- teeing company, and should therefore be reported even though there is little probability that it will ever cause trouble. It is rather common, for illus- tration, for railroads to guarantee the bonds of their subsidiary lines. Usually the subsidiary line is ex- pected to earn enough to pay its own debts; but if the investing public has not faith in it, the control- ling corporation may undertake to create a good market for the obligations of the subsidiary line by guaranteeing the payment of interest, or of both interest and principal. These guarantees ought to be reported in some form. A common device is to report them at the bottom of the balance sheet as contingent items on the liability side. As an offset against these, so that the total liabilities of the whole sheet shall not exceed the assets, it is possible to report as an asset the claim which the railroad has against the subsidiary road in case the guarantee is fulfilled. This is satisfactory if it is true that the asset reported in the contingency group is an ade- quate offset to the liability. This often, however, is not the case, and the road which offers the guarantee gets in return for that guarantee simply a claim against the earnings of the controlled road, and this claim is not properly susceptible of statement as an asset in quite the same terms as the liability which it is supposed to cover. It is far better, then, instead of reporting the contingent liability with other lia- bilities, offset by an arbitrary asset on the other side, to leave off the contingent item entirely from the balance sheet and mention it in a foot-note with a statement of the claim which justifies it. Another sort of contingent item rather common is that for notes endorsed and discounted, or sold to another firm. Frequently, for instance, banks in the large cities have made upon them more demands for loans than they can well supply out of their own funds, and at the same time banks in districts re- moved from financial centers have more funds avail- THE BALANCE SHEET 321 able for loans than the demands of the communities absorb. A natural combination is made, and banks having many requests for loans sell to their corre- spondents in other places some of the notes which they have purchased at a discount, and by that means utilize the funds otherwise lying idle in the vaults of their correspondents. In other words, the banks rediscount the notes which they themselves have discounted. Usually in this case the banks which took the notes originally and knew about the people to whom the loans were made guarantee payment to the banks which purchased these notes from them. This guarantee is of the nature, then, of a contingent liability of the large bank; but it is offset by the claim which the bank has and believes to be good (else it would not have made the loan) against the people to whom the loan was originally made or ac:ainst the endorsers of the notes. It is customary, therefore, for national banks to report among their liabilities notes rediscounted, and at the same time to include in their loans (that is, their claims against business houses for loans made) these same notes sent to their correspondents for rediscount. The result is that these notes appear on both sides of the balance sheet. This device shows all the facts, and indi- cates properly what assets offset the contingent lia- bilities. Similarly, business houses that have dis- counted with banks notes received from their cus- tomers should show their liabilities for ultimate pay- ment if their customers default. Such discounted notes may well appear on both sides of the balance sheet as contingent items. If the makers of these notes default, the business must pay, and hence the A&A-21 ^ ^' Sn ACCOUNTING ANJt) AUDITING liability is contingent; but in that case the notes revert to the business and become an asset on which it will collect if it can. This method of statement shows just how much is outstanding. The probable losses from this source are intended to be covered by Allowance for Bad Debts among current liabili- ties (counted as current because it offsets certain current assets). In municipal accounts it is rather common for contingent items to appear because often cities re- quire that contractors shall make deposits in the nature of guarantees that they will carry out prop- erly their contracts for street construction and other public work. If the contracts are properly ful- filled, these sums deposited must be repaid; if not, they will be used to offset the loss which the city suffers from the failure of the contractor to per- form his work properly. Usually, therefore, they are only loans to the city. On the other side of a municipal balance sheet there are likely to be items of taxes so long due that there is probability that they will never be collected. It is thought unwise to write them off as uncollectible, and equally un- wise to include them among current assets. The contingent group on a balance sheet furnishes a con- venient place for reporting items of this sort. All contingent items must be judged with due consid- eration of the nature of the contingency. Attention has already been called to the fact that normally one item on the balance sheet is de- rived from the income sheet. The surplus, as shown by the income sheet, is a liability of the company to stockholders, and must be reported as such. As THE BALANCE SHEET 323 appearing on the income sheet, however, it is re- lated only to the particular year in question; but if any surplus has been accumulated in preceding years, the surplus for the current year added to the surpluses of other years will produce a new total which will appear on the balance sheet, and, there- fore, the figure on the balance sheet will be different from that on the income sheet. The surplus on the income sheet, in other words, is a surplus from one year, but the surplus on the balance sheet is an accumulated surplus of all years. The same thing is true with regard to deficits, of course, for both income sheet and balance sheet may have deficits as well as surpluses; and a deficit on the income sheet, combined with a larger surplus on last year's bal- ance sheet, still leaves a surplus for this year's bal- ance sheet, whereas a deficit on the income sheet, combined with a deficit on last year's balance sheet, produces a larger deficit on this year's balance sheet, and a deficit on the income sheet, combined with a smaller surplus on last year's balance sheet, produces a deficit on this year's balance sheet. As was indicated in the last chapter, moreover, a deficit on the balance sheet is still consistent with one kind of surplus on that sheet. A surplus, as we saw, may originate not only out of profits, but from a contri- bution of capital, as when stock is sold at a pre- mimn; and a deficit raay have originated in either operations or extraordinary outside losses ; so if both have occurred, confusion should be avoided by report- ing them separately. The desirable thing is to report them not only so that each shall be clearly shown, but so that each shall be read in connection with the other. S24 ACCOUNTING AND AUDITING If both must appear, therefore, one as a surplus capi- tal contribution, and the other as an operating deficit, each should have an appended note calling attention to the extent of the other ; otherwise a careless reader of the report may be much impressed by one and fail to observe the other. In the minds of many persons, a balance sheet is confused with a statement of resources and liabili- ties. Theoretically, a balance sheet and a statement of resources and liabilities are the same thing; but practically they are not always so. A balance sheet ought theoretically to show not only what is the exact state of affairs, but what is the exact condition of the books; and yet not always can the books show for each particular branch of the business just what is the state of affairs. It is impossible, for instance, to reduce on the books the amount of claims against customers; and yet the accountant may believe that possibly five per cent, of those claims will never be paid. The bookkeeping diffi- culty is that he is never sure which particular claims will fail of payment, and, therefore, he cannot be sure which accounts ought to be written off. He must still maintain those claims on his books at the full value, though he knows that as a whole they will yield only ninety-five per cent, of the full value. A device must be provided therefore to reduce assets by the amount of expected shrinkage in these claims; and yet if that reduction is made by sub- tracting from any figure of assets, the balance sheet is out of accord with the books. We saw long ago that subtraction is practically never performed in THE BALANCE SHEET 325 bookkeeping, and, therefore, we fall back on the device of increasing the other side. The desirable thing to do here, therefore, is to show on the credit side an account representing the probable loss from bad debts, and consider this a liability of the busi- ness. This is commonly called ''Reserve for Bad Debts." Its appearance on the liability side of the balance sheet indicates that the business is respon- sible to make good this shrinkage, and that the amount has been subtracted from income to satisfy that responsibility. In a sense this liability is quite as much a subtraction from assets as is the liability to creditors from whom purchases have been made. No one objects to reportirig the assets at the nom- inal figure, even though heavy liabilities are out- standing, if only the liabilities are properly shown on the balance sheet. So when it is realized that this reserve for bad debts is exactly similar in nature — so far as the responsibility of the business is con- cerned — to debts due outside creditors, this form of reporting probable shrinkage in claims against customers is unobjectionable. The only difficulty in this connection is that this is just what some per- sons are unable to realize. They are in danger of believing that this reserve for bad debts is simply profits set aside as an extra reserve fund for safety's sake, and that it probably will never be needed for the purpose designated. In such a case, obviously, the amount will be thought to be a sort of contingent siu^plus; whereas, as a matter of fact, this amount must be made good not out of the profits but out of product, — that is, there can be no profits until this amount has been covered. For this reason it would 326 ACCOUNTING AND AUDITING be better to call this account ' 'Allowance for Bad Debts." This suggests the fact that it represents a probable loss. The difficulty just suggested with regard to re- serve for bad debts is found almost universally in interpreting balance sheets w^herever the one who reads the sheets is not quite familiar with the ac- counting policy of those who construct them. There is no uniformity of custom with regard to reserve accounts appearing as liabilities on balance sheets of corporations. Some corporations set aside annu- ally from profits a sum which they entitle '^ Reserve for Depreciation." This is merely profits which are held back in order that the corporation may be on a secure footing, so that in case of inventions dis- placing machinery it may have a fund available for making good that loss; but such inventions are not expected, and such depreciation is not believed to be really necessary, — it is pure profit held for an improbable contingency. Other corporations, on the other hand, do not, with the progress of depre- ciation, reduce the book valuation of their prop- erty, but think they have made adequate provision for such depreciation by establishing among their liabilities a reserve account which measures the amount of depreciation of assets. That is, they have deliberately and intentionally, and they believe jus- tifiably, left on their books as a valuation of assets a higher figure than is real, and have attempted to offset this overstatement of assets by establishing on the liability side of the accounts an item measur- ing the depreciation. To put this in another way, knowing, as they do, that a credit is an offset to a THE BALANCE SHEET 327 debit, and that the balance between them is the actual figure of property, they leave their asset accounts at the original figures and credit a reserve account for the amount of depreciation. It is true that by combining the asset account and the reserve account one does produce a figure which is the exact value of the property; but unless one knows that this reserve account is merely a sum to be deducted from assets and is not, as it appears to be, a sum set aside out of profits, one is likely to be misled in one's judgment of the value of the property owned. Such a depreciation account or depreciation reserve must, like our reserve for bad debts just discussed, come out of product before there is any profit; whereas the other kind of reserve for depreciation suggested a moment ago — a mere labeling of profits to show that they are to be kept for a remote con- tingency — is an indication that the assets of the busi- ness are intact, and are by the amount of this account greater than the amount of capital subscribed. It is unfortunate that such differences of accounting methods prevail among corporations; the only con- clusion we can draw is that one must know what is represented by any such reserve account before one is in a position to tell even from the company's own books what is the value of property on hand. A so-called statement of resources and liabilities differs from a balance sheet in that it pretends only to show supposed facts in a simple way, regardless of the technicalities of bookkeeping. It will show, for instance, the prohable value of accounts receiv- able, rather than book figures. This seems, at first thought, better than a balance sheet. The difficulty 328 ACCOUNTING AND AUDITING is that it is based wholly on someone's judgment. It gives, moreover, no statement for the basis of that judgment. Most business men prefer their own judgments to somebody's else. They like to know what the books show. Then they can make allow- ances to suit themselves. "When Accounts Receiv- able is shown on one side of the balance sheet and Allowance for Bad Debts on the other, the reader sees both the book figures and the judgment of the managers. A statement of resources and liabilities is a good thing to report, but it should supplement and not supplant the balance sheet. In any case, however, corporations should be required by law to indicate clearly whether depreciation and shrink- age have been subtracted from the cost of their property, or have been treated as a liability to be met out of earnings. The clearest form for showing this is a statement of resources and liabilities which shall contain not offsets, but an exact statement for each kind of property, claim, and liability. The pub- lication of such a statement with the balance sheet gives very satisfactory information about a business. It is often a great convenience to have a balance sheet so arranged that a comparison may be made at a glance with the sheet for the preceding year. The use of such a comparison will be discussed in the next chapter. Sometimes new accounts are opened each year for property subject to constant change. An account might be kept, for example, to contain additions to plant. These new accounts may then be reported on the balance sheet as distinctly be- longing to the year in question, and may then be consolidated with the old accounts as they stood at THE BALANCE SHEET 329 the beginning of the year. This arrangement makes it possible for one to see at a glance just what has happened to the important accounts in the course of the year's business. The result is produced quite as well, however, without the maintenance of sepa- rate accounts in the ledger, if only separate columns are provided on the balance sheet to indicate in- creases and decreases for the year just passed. The balance sheet shown below presents all the desirable devices suggested in this chapter. 330 ACCOUNTI^^TG AND AUDITING o CD o CO 1— 1 o o o o o o lO O iO o o o o o o o o o o o o o 0_GO lO lO OJ r-Ti-T CM r-! ; ; ; § ; • ■ . • • O^ . . • • • oT • • * « • o o o , • o «D . M< •o^ T»< • • . ■ (m" iS * * 'S o o o o •2^ ;:h ■si a J-^ KJ-SB CO •3£5 a Capi :ock— O J2 «H H 1^ >> i5H a a5 o o o o o o o o o o o o CvJ CO iO o . • o • • o^ • • o o o o o o O O I O lO I s 'cu (h ;3 . o OQ I o od' eg * (H o O O o V o o o o P4 lO iq^o^ \a o •\ OJ cvToT -* o OS 'Q o 2 « > § oj 5 o a ? OD ■♦» o ^ m ^ '•* •<-< eo -§13 1 ^ O 2 C) Sj s ^^t cu ■^ "fS O N §^^ 1 anting eounte tested ■l§ S^ ^1 ^.2 2 "^ « ^ CHAPTER XIV THE INTEEPRETATION OF BALANCE SHEETS Certain information can be had from a balance sheet standing independent of all other figures, but usually we are concerned in studying such a sheet to learn rather what is the course of things than what is the actual present situation. Many figures on a balance sheet show an outsider very little about the prosperity of the business as a whole; for many of these figures come, as we have seen, from a valua- tion put upon property, and unless we can for our- selves examine that property we are not in a posi- tion to judge as to the correctness of the sheet. Tak- ing any one balance sheet, therefore, we are obliged usually to assume a certain degree of correctness in the figures, and the correctness which we assume will be determined largely by our judgment of the character of the men who have made the figures. When, on the other hand, we have two or more bal- ance sheets, we can learn from them, if we assume that the same methods are employed in getting balances^ for the second sheet as for the first, what is the apparent tendency of the business. We can learn from such a comparison of balance sheets, for instance, whether the amount of cash is increasing, whether more money has been borrowed, whether 33X 332 ACCOUNTING AND AUDITING more property has be^n invested in the business, whether larger reserves are maintained for emer- gencies. Such comparisons are usually worth mak- ing, for they enable us to learn what sort of re- sources the business is accumulating and what" sort of liabilities it is incurring or satisfying. For some lines of business the best sign of health is an increase of investment in permanent property, but for others it is an increase in assets readily convertible into cash. Let us examine first the method of drawing con- clusions about the general tendencies of a business, and then later analyze in some detail the different accounts on a balance sheet and see what light they throw on solvency. We have all along seen the neces- sity for a debit whenever there is a credit, and vice versa. It must be true, therefore, that for every expenditure some resource can be found, and that for every resource utilized some destination can be found; for otherwise we should have some unex- plained fact on the books. Only three kinds of sources are available from which expenditures can be made, and only three kinds of explanations are possible for the disappearance of resources. The three sources from which expenditures can be made are earnings — ^which do not appear on the balance sheet except when a balance has been left over after the payment of dividends, — items appearing on the balance sheet at the beginning of the year, and new investment of capital or loans during the year; for since the operations of the business consist in turning over its property so that profit shall be earned, notn- ing has been available to spend except as it has INTERPRETATION OF BALANCE SHEETS 333 arisen from the conversion of old assets, from the use of new property entrusted to the business, or from revenue. Similarly, the three possible des- tinations of expenditure are the cost of conducting business, the payment of .liabilities as they appeared on the balance sheet at the beginning of the year, and the creation of new assets. Yet all six of these sorts of items — three sorts of resource and three sorts of expenditure — ^have effect on the balance sheet; for four of them are exclusively balance-sheet items, and the revenue and expense items, if they do not (with the dividends) exactly cancel, must go from the income sheet to the balance sheet as sur- plus or deficit. So a comparison of balance sheets for two years will show, except for items which cancel each other (such as old bills receivable paid and new ones received, or earnings paid as divi- dends), a complete statement of operations for the year. If, for instance, the gross profits of the year have been $200,000, the expenses $150,000, and the dividends $25,000, we have remaining $25,000 of profits which ought to appear now not only as addi- tional surplus on the balance sheet, but also some- where among the net assets — either alone or produc- ing a larger balance of net assets than were shown a year ago. Similarly, if our liabilities are smaller than a year ago, we have not fully explained the trans- actions of the year just passed unless we can point to the sources from which those liabilities were liqui- dated. This liquidation may have come from surplus profits, from some new investments of capital, or from the diversion of some old assets to the annul- ment of liability. It is true, of course, that though 334 ACCOUNTING AND AUDITING Bills Receivable at the beginning of the year may have amounted to $50,000 and still remain c.t $50,000 at the end of the year, our transactions in Bills Re- ceivable may have been several times that amount; but this is not a matter of consequence in drawing conclusions at the end of the year, for assuming the notes to be equally good, our situation is not altered by that fact. Such a comparison of balance sheets does not show the magnitude of business done; it merely shows th^ ultimate changes resulting from the year's operations. Our only concern is the de- creases and increases in the balance of each account. The conversion of merchandise into notes, and of those notes into cash, and of that cash into more merchandise, is of no consequence, except so far as the amount of merchandise in the end is greater than that at the beginning, or so far as a profit de- rived from the exchange of old merchandise for new has gone into some other account. Let us now attempt from two balance sheets to learn what has gone on in the year which lies between them. It is usually convenient for this purpose to arrange decreases and increases in a table of two columns. The first column may well be headed *^ Resources Utilized," and the second, ^^Disposition of Assets." The first will include the value of prop- erty which the business has converted into other forms, the amount obtained from outside, and the amount of profits which have remained after the payment of dividends — or it may include net profits if the figure of dividends is entered in the other column. The column headed * * Disposition of Assets ' ' will include the value of all property procured by INTERPRETATION OF BALANCE SHEETS 335l utilizing assets, the amount of debt liquidated, and the amount of net loss or deficit if the business has been unprofitable. It must be noted that this sheet for indicating operations of an earning period is not confined to dealings with the outside world, but is intended quite as much to show the shiftings of value from one department to another within the business. It ought to show in summary form the explanation of every change that has been made, — and every change has not only a cause but an effect. If, for instance, the cash on hand at the end of the year is less than that on hand at the beginning of the year, it is obvious that the business has utilized a certain part of this asset, and the amount of shrink- age should appear under the head of ^^ Resources Utilized." (The amount of cash expended was, of course, very much more than this, but since the cash balance has shrunk by only this sum, the other items offset one another and do not need to be explained here.) Question at once arises as to what became of that cash. We cannot, as a matter of fact, learn from an examination of the balance sheet just what this particular cash was devoted to; but we can tell what were the total changes in assets and liabilities, and we know that the total amount of resources utilized must equal the total amount of disposition of assets. We do not attempt, therefore, to label this cash as devoted to any particular piu*pose; but when our table is complete we shall see that this cash utilized, plus other resources utilized, will equal the total disposition shown by the other column. We may now, after this illustration of the method to be applied in the construction of such a sheet, take 336 ACCOUNTING AND AUDITING the principal items one by one and see how they should be treated. Let us use for practice the balance sheet given at the end of the preceding chapter (page 330) . The first item on the assets side is Real Estate. We find that the comparison of this balance sheet with the preceding one shows an increase in real estate of $2,000. This change in value indicates not Avhere the business obtained a resource to use, but what it did with some resource which it either had at the beginning of the year or received during the year. It explains the expenditure of money. This $2,000 increase in real estate, then, will be entered under the head of *' disposition of assets." (See page 341.) If, on the other hand, the valuation of real estate had shrunk $2,000, it would have been obvious that this shrinkage should appear as a resource util- ized; for if the value on hand at the end of the vear is not so much as it was at the beginning, the man- agers have either sold real estate or have consumed it in the conduct of the business; in either case they should have other assets to show for it — unless, in- deed, the business has suffered loss, and even this is a ** utilization of assets," though the unfortunate utilization of a good thing to produce a bad one. The increase in plant and machinery measures also, of course, a disposition of assets, for the busi- ness had to give something for that increase. The decrease in investments shows that these assets were utilized — ^that $2,000 of the good of them has been exhausted. The amount is written in the column headed ** utilization of resources." Our next item is Bills Eeceivable. If the amount is increased at the end of the year, as compared with mTERPRETATION OF BALANCE SHEETS 33? the begiiming, it is obvious that the business has accumulated certain property in this form, and although this is now a resource, it is not a resource which has 'been utilized during the year past; on the contrary, some other resource must have been util- ized to secure for us such an increase in bills receiv- able — such as a sale of merchandise, or payment in cash. In any case we know that an increase in bills receivable has cost something, and since an increase explains for what we have made some disposition of assets, the amount should go into the disposition column. In the case in hand, however. Bills Eeceiv- able is found to have suffered a decrease; so it is obvious that some of the notes on hand at the be- ginning of the year either have been paid off, and have thus brought in other property, or have been written off as bad debts. Under the first supposi- tion, this decrease explains the source from which other property has been obtained, and under the second it explains in part how the business happened to have a deficiency at the end of the year; under either supposition the decrease indicates a utiliza- tion during the year of resources existing a year ago. We write it in the first column. The account for customers has increased $3,000; that is, customers owe more than they did a year ago. Clearly they do not owe for nothing: the business must have given something (merchandise, of course) for this asset. The increase, therefore, measures the disposition of assets: it shows what has become of some of the other property entrusted to the business. The amount is therefore entered in the second column. If, on the other hand, this account had A & A-22 338 ACCOUNTING AND AUDITING shrunk, it would have showm that by this amount the assets in the business a year ago had been utilized in this year's operations. Let us now, with these first cases in mind, get a comprehensive view of the theory of this tabulation. Novices at this sort of thing are usually confused at first because they forget what they are seeking. The purpose of this classification is to explain things done in the year past. We cannot from such a table see what went to any destination, for the thing is no longer connected with its origin: we know only where value is today. Prom the where, today, we wish to learn changes in the year past, A decrease in the amount of an asset today in comparison with that of a year ago shows that some of that resource has been utilized in the year's in- terval; an increase in an asset shows that during the year past some other asset must have been ex- changed for this — i. e., this shows a disposition of assets; an increase in liabilities shows that a resource was utilized — for the business used its borrowing capacity; and a liability discharged shows that assets were given for payment, and therefore disposed of. Our next item is Merchandise. Since this shows a larger figure than at the beginning of the year, it is obvious that the present inventory is larger than the old, and therefore that in the past other re- sources have been sacrificed to procure this present resource. The amount of increase should go, then, into the column headed ^^disposition of assets," for it explains for what purpose other assets were dis- posed of. If, on the other hand, the item of inventory showed a decrease, it would indicate that goods on li^TEBPRETATIOK- OF BALANCE SHEETS 389 hand at the beginning of the year had been utilized; so the item should go into the first column. If this still proves puzzling to the reader, he may find himself able to do his thinking more clearly if he changes the titles of his columns. If, instead of *^ utilization of resources," he thinks of *' where got," he may see that a shrinkage of inventory should go into the first column ; for it explains where the business got some of the resources that it util- ized. Similarly, ^' where gone" may be substituted for ' ' disposition of assets. ' ' Then it is apparent that an increase in inventory shows a ^* where gone" for the year past; it shows what has become of some of the assets entrusted to the business. So, also, in- creases of liabilities show *^ where got," and de- creases show *^ where gone." Eeturning now to our balance sheet, we see that a decrease in discounted notes indicates cancellation, or collections, therefore ^^ resources utilized" or *^ where got." Since, however, it is exactly offset by a similar contingent item on the other side, we may as well omit it from our table. The deficit on operation is clearly a *^ where gone. "Indeed, the sole purpose of the deficit account is to show that some assets have disappeared, **gone," in operation. It is also a disposition of assets, for the business consumed assets in running at a loss. Let us turn now to the other side of the balance sheet. The first changed item is Bonds. Since this has increased, the corporation has borrowed money, and a resource (borrowing power) has been utilized. So the item is written in the ^^ where got" colunm. 340 ACCOUNTING AND AUDlTIi^G If, on the other hand, the amount of outstanding bonds had decreased, it would have been evident that some assets had been devoted to this use, and the amount would have gone into the second column. The increase in Bills Payable, similarly, shows that the company has utilized one of its sources of obtaining property from outside, and the amount should appear in the first column. If, on the other hand, the amount of bills payable had decreased, it would have shown that the company had paid off a certain portion of these debts, and since it could not have paid them off without the giving of value, this payment would have explained a disposition of assets, and the amount would have appeared in the second column. The decrease in the account for creditors shows that debts have been paid, and therefore that assets have been disposed of. The amount shows *^ where gone." The increase in accrued interest as a liability shows that the business has had the use of money that it has not yet paid for, and it should have assets to correspond — or the interest is a cause of the loss on operations, that is, the deficit. This increase shows, therefore, ^Svhere got," or utilization of re- sources. It is entered accordingly. If an operating surplus had increased, earnings must have been in excess of dividends, and conse- quently the company must have had this resource as a means of raising necessary funds. The amount would have been extended, therefore, into the first column. If, on the other hand, surplus had been de- creased, that fact would have meant thaf a part of INTERPRETATION OF BALANCE SHEETS 341 the assets had been disposed of in the payment of dividends or repairs or some other operating ex- igency, so that the undistributed profits remaining would have been smaller than at the beginning of the year, and the amount would have been entered under ^^ where gone.^' When all changes as shown by the comparison of balance sheets have been entered as has just been indicated, the amounts of the two columns should correspond exactly; for not more disposition can have been made of assets than has been warranted by the resources utilized. If there has been no error in calculation, the proof will be exact to a cent; for everything has been done by double entry. SUMMAEY OF TRANSACTIONS FOE THE YEAE UTILIZATION OF RESOURCES DISPOSITION OF ASSETS Investments, decrease $ 2,000 Eeal estate, increase $ 2,000 Bills receivable, decrease 5,000 Plant and machinery, increase 1,000 Bonds, increase 2,000 Customers, increase 3,000 Bills payable, increase 5,460 Merchandise, increase 4,000 Interest accrued, increase 40 Deficit, increase 2,500 Creditors, decrease 2,000 $14,500 $14,500 The real purpose of this statement is not so much to get figures showing the changes in individual accounts as to present in definite form a summary which shall enable one to judge whether the prop- erty of the business is this year in a more desirable shape than it was last year. If current liabilities have increased $20,000, and current assets have de- creased $10,000, the situation is not so favorable as it was a year ago, unless at that time available assets 342 ACCOUNTING AND AUDITING were lying idle. It is not enough, however, to know merely that total cin*rent assets and total current liabilities bear an improved relation to each other. If a year ago a small stock of goods was on hand, and this year a large stock of goods is accompanied by a limited sum in cash, the business is not in quite such good shape as it was a year ago — unless, in- deed, it is growing faster than goods can be secured and an increased stock is necessary. If a year ago it had a large amount of cash and few notes and accounts receivable, but this year has a small amount of cash and many notes and accounts receivable, the appearance is unfavorable; for it seems to indicate poor collections. One must realize, however, that a large increase of collectible items may come from a large increase of business and may accompany a shrinkage of cash; for the same percentage of collections would show an increase of unpaid bills, and increased purchases may explain the decrease in cash. If, on the other hand, sales have increased only ten per cent., but bills receivable and accounts receivable have increased thirty per cent., it is obvious that sales are made to a class of customers less able or less willing to pay bills promptly, and, therefore, the business is taking the risk of heavy loss on bad debts. Generally speaking, merchandise is a better asset than such debts; though, of course, since profit is made generally from the sale of merchandise, the desirable thing is to convert merchandise into a proper number of good debts ; but an increase of these debts out of relation to the amount of sales and to the amount of mer- chandise on hand is an indication of weakness. If a INTEEPRETATION OF BALANCE SHEETS 343 year ago the business had a small investment in real estate, plant and machinery, with few bills payable and accounts payable, but this year has a very large investment in such assets and many bills payable and accounts payable, it is obvious that those lia- bilities have been incurred in the acquisition of those assets; and usually this would be an unfavorable sign, for it means an accumulation of liabilities ma- turing soon, and only fixed assets, which might not sell readily, as a means of payment. If, on the other hand, it were known that money could be borrowed at any time on long terms, through the issue of bonds, the situation would not be dangerous. It would be known in that case that the bills payable and accounts payable were merely temporary and that soon the balance sheet would show a disappear- ance of those items and a substitution of capital lia- bilities in the form of funded debt ; and a funded debt payable in the futiu*e is naturally invested in such permanent things as real estate, plant and machin- ery. It is impossible to lay down any hard and fast rules in regard to the proper tendency of items in a balance sheet. We must know the line of business before we can say whether things are going as they ought or not; but it is always desirable in passing judgment on the solvency of a business to make such an analysis as that here suggested in order that we may have at a glance a summary explanation of important changes. We do wish to know why this or that important change occurred and what other items were affected. It is worth while to dwell upon some specific items in connection with the balance sheet and see 344 ACCOUNTING AND AUDITING what a person attempting to determine solvency should consider in relation to them. Attention has already been called to the need of allowance for de- preciation in connection with Real Estate, Plant and Machinery, Investments, and Merchandise. Except for Merchandise, nothing more needs to be said about these accounts. As was suggested in the chapter on profit, the normal price of merchandise is not always the billed price, but that price less the largest dis- count offered. So one must realize in considering an inventory that the basis should be never more than the net price, or, if the goods have fallen in market value, not even so much as that. It is well for any- one attempting to interpret a balance sheet to note the relation between the present inventory of mer- chandise and that of other years. If he finds that merchandise valuation is constantly increasing, but sales are steady, decreasing, or increasing in a slower ratio than the inventory, he has reason to believe that the inventory is padded — either deliberately, or because of neglect to allow for unsalable goods. If a manager were always to count as a good asset merchandise purchased long ago, and never recog- nize the fact that certain merchandise has, with the lapse of time, become imsalable, the greater his store of unsalable goods, the bigger his merchandise in- ventory. If this thing were to go on for a series of years, it might be found in the end that an inventory of one hundred thousand dollars might represent goods which on the market were worth only ten thousand dollars. It should be realized always that both bills receivable and the accounts of customers are likely INTERPRETATION OF BALANCE SHEETS 345 to prove worth less than the book value, — how much less will depend on the discretion used in giving credits. From some points of view, bills receivable are preferable to book accounts, for a bill receivable at least acknowledges the debt; since, however, under some conditions goods sold and not paid for, even by a note, may be replevined, certain book accounts are better than bills receivable. Judgment in each case must be determined by circumstances. It should be realized also that customers' accoimts are likely to represent claims for a considerably smaller sum than the amount recorded on the books. If discounts are allowed for early payment of bills, the customers' accounts are subject to these dis- counts and only if none of the discounts offered are accepted will the claims yield their full face. One must always realize, therefore, that allowance for discounts is as important as allowance for bad debts. This, however, is not, as is allowance for bad debts, a presumable loss to the business, but one of its bookkeeping debits due to the fact that bills have been booked at more than the natural price. On the other side of the balance sheet only one allowance needs to be made; for liabilities, unlike resources, are bound to be met in full unless the busi- ness goes into bankruptcy. The single exception is discounts offered for early payments to creditors. If the discounts presumably to be taken on sums due to creditors equal the discounts presumably to be taken by customers, the items do not need to appear on the balance sheet — unless to show that they have been considered. This statement is not incon- sistent with the theory of discounts previously 346 ACCOUNTING AND AUDITING stated. We are here concerned not with profits, but with assets and liabilities; and though it is true that discounts neglected by our customers do not protect us from loss on discounts which we neglect (as shown on page 288), discounts to be taken by us reduce our ' liabilities in the same degree (dollar for dollar) that discounts to be taken by our customers reduce our assets. If one sort of discount is likely to be larger than the other, both should appear. It is well in this connection, though the items do not appear on the balance sheet, to compare the amounts of discount neglected (or the amounts taken, if only those are recorded) for the last year with those for preceding years and with purchases and sales. It is evident that when rates of discount offered are unchanged, Collected Discounts decreas- ing (or allowed discounts increasing) on goods sold is a good sign; for though it means less direct profit from this source, it indicates an improvement in the general business standing of customers. A con- servative manager would rather have low profits on sales to sound customers than larger apparent profits on sales to questionable customers. Theoretically no discounts on purchases should ever be neglected ; but if the firm is poor and has little credit, no escape may be found. In such a case Neglected Discounts decreasing, or increasing more slowly than pur- chases, shows an improving conditio CHAPTER XV THE DETEKMINATION OF COSTS All our discussion up to this point has been based on the assumption that by general accounting prin- ciples we can know or can easily calculate the amount of debit or credit to any account; in many cases, however, a cost is so well mixed with other costs that elaborate records are necessary to dis- tinguish which portion of the total cost belongs properly to one item and which to the others. In manufacturing it is not usual to buy raw materials for one particular product and to put labor at work in producing that single product; it is customary to purchase supplies in large quantities, and to employ laborers either on day work or on piece work so that the debit to Wages is to be divided ultimately among many articles. The natural entries, there- fore, are for the amount of material consumed and for the wages involved in product as a whole. Though sometimes distribution to separate products may be made by a mere division of the total cost among the number of items produced, various types of articles are commonly produced under conditions involving di:ffering amounts of raw material and dif- fering amounts for wages, and for each of these care- ful record must be kept so that it will be possible when the work is completed to know what has been 347 348 ACCOUNTING AND AUDITING the cost of that product both for raw material and for labor. These two elements of cost are commonly called ^^ prime cost," for they are direct and involve no complex distribution of joint cost over various articles. Above these, however, are many additional costs which cannot be found individually for each item of product. The total expense for insurance, rent, repairs, interest on capital, and various items of this sort, is for the joint benefit of many products, and must be distributed at some time over the total amount of product, so that each article shall bear its share of the total cost of these items. If these last costs, which are usually called *^ overhead costs" or *^ burden," are not distributed over the total product, or at least if the prices charged for the product do not include an allowance for these costs, the business is necessarily run at a loss. It is desirable that these overhead costs shall be charged to the individual items of product in exactly the right proportion, for if not the business may be selling some goods at less than their actual cost to manufacture. This suggests the necessity for som^e sort of cost accounting in all manufacturing and other lines of business where many items of product or service are rendered at costs which do not readily attach themselves to each individual item of result. The purposes of cost accounting are three: (1) to guide the managers in determining what is the proper price to be put on each article of product; (2) to enable the managers to learn whether an}'- part of their product is more or less profitable than other parts, — for sometimes, owing to peculiar conditions, a business cannot afford to make certain articles at bETERMHSTATlON OJ^ COSTS f^ the same price as its competitors, and had therefore better give up such manufacture, or may have such advantage over competitors in some articles that it may well concentrate all its activities on these alone; (3) to indicate economies, for if cost accounting is accurate it makes possible comparisons between one period and another for most elements in the manu- facturing process and shows whether the maximum yield is obtained, not only with raw material con- sumed and with labor, but with the general facilities which cause overhead expense. The importance of a proper distribution of over- head charges may be best illustrated, perhaps, by a simple case of manufacture where one process yields several kinds of product. If we are to know not only what is the proper price to make on our goods, but what is the most profitable product, and what is the greatest economy of expenditure, we must know what is the best disposition to make of each part of the joint product. In a saw-mill one stroke of the saw produces not only a board, but a slab, or an edging. Taking the log as a whole, perhaps a dozen trips of the saw-carriage produce several boards, two slabs, and many edgings. Under some conditions, it may be cheaper to use the edgings and the slabs in the engine-room as fuel than to attempt to sell them on the market. In such a case the only salable product is boards. If, on the other hand, there is a good market for edgings, it may be worth while to bundle them and ship them; but it may not be worth while to attempt to sell the slabs. Finally, it may be worth while to sell boards, edgings, and slabs. Be- fore one can tell whether one should sell only boards, 360 ACCOtJNTING A^B AUDITING or boards and edgings, or all three products, one must know not only what one can get for edgings and slabs, but what will be the cost of getting them on the market. For each one of these items of product there is one cost which is peculiar to it and needs to be met only in case that product is to be sold. If, for instance, edgings and slabs are to be burned, they do not need to be sorted or carefully piled or measured, and they are worth something as fuel. They will go directly from the saw-table into a heap from which they will be passed to the fire box. To sell edgings, however, requires at least the cost of sorting them from the slabs, and usually of cutting them into firewood lengths and bundling them. To sell the slabs requires only that they shall be cut into firewood lengths and separately piled. Only when the cost of. separating, piling, and bun- dling is known can the manager know whether he ought to sell these by-products rather than consume them. All cost accounting, to serve its purpose, then, must distinguish as far as possible every cost which is peculiar to any product, and must distin- guish the return from each kind of product; then a comparison may be made between return and cost for each kind of product, and the manager can learn not only the absolute but the comparative profitable- ness of that enterprise, — that is, whether he had better abandon that department of his product and concentrate his whole energy on some other depart- ment that yields a higher profit. Let us turn first to the method of learning prime costs — ^that is, costs which are peculiar to any one line of product and are not confused with a^y joint Mteeminatiok- of cost^s sSi elements. The common practice is to require all work done in a shop to be based on written orders from someone in authority. As soon as production is ready to begin, a written order is made out in the central office to indicate what materials are to be used in its production — or at least what materials are to be turned over to the workman for his use. Such an order is sent to the storehouse, and when the goods are issued by the storekeeper the order is receipted by the workman. On the return of the order to the office, the books can show exactly what materials have been issued, and after allowance has been made for material returned to the storehouse, can indicate by a calculation based on the purchase price of the goods exactly what is the material ele- ment in the cost of the product. Similarly, for all work to be done, an order is issued to each work- man, and when his work has been completed that order is signed by the foreman accepting the work and this authorizes the payment of wages. This signed order furnishes information to the office as to the labor-cost of this product. Let us now examine this in somewhat more de- tail. A carefully worked-out scheme of accounting will provide that all stores or supplies purchased shall be entered in a stores ledger, so arranged that each kind of article kept in the storeroom has an account of its own, which may be debited for all stores entering the storehouse and credited for all stores issued. The storekeeper is held responsible for all goods which he receives, and must give a receipt for them, and he receives a receipt for all goods which he issues. This makes it possible at all S52 ACCOIJNTma AND AUDI*m(J times to know what stores are on hand and to pro- vide against the waste of material. Each general order may, of course, comprise many sub-orders, or job orders, for if the office requires a case of shoes to be made, sub-orders are needed for every kind of material, such as sole leather, counters, vamps, uppers, etc., and labor orders for cutting, stitching, finishing, treeing, etc. The labor items occurring on job order slips are carried not only to the cost books, which are arranged to show the cost of each order or group of orders, but are carried also to the time book so as to credit each workman for his wages. The cost book contains a separate page or series of pages for each general manufacturing order, and all sub-orders or job orders (for detailed portions of work on the general order) are entered under the proper heads so that when a job is completed the total cost of that job, both for material and for labor, is found by simple addition. This may serve, roughly, as an outline of the method of accounting for prime costs. The details will differ largely in different factories because of differing conditions, and it is impossible in a book of this general type to cover the subject in its various complex forms. We may now pass to the general subject of the distribution of burden, or overhead cost. It is ob- vious that so far as we may attach all overhead costs to a single element, we may keep the accounting sim- ple; if, for example, we should find that all overhead costs bear some definite relation to wages, we could distribute those overhead costs on the basis of the wages expense on each job. This, indeed, is a com- mon method of distributing burden. It has, how- DETEEMIXATION OF COSTS 353 ever, one fundamental objection. It charges as much overhead cost to a job requiring $4 worth of labor employed in hand cutting of uppers in a shoe shop, for example, as to one employing $4 worth of labor to run a high cost machine which must be insured and involves taxes, repairs, depreciation, and much power-cost. Such distribution of burden is obviously unfair, for the most important over- head costs in connection with the cutting of uppers by hand are those connected with the housing of the workman and his material — that is, rent, heat, light — and the administrative costs of directing his labor, but besides these the machine involves in- terest, depreciation, repairs, insurance, and taxes. If we were to charge goods produced by hand labor with the same proportion of overhead expense that we charge to goods produced largely with high- cost machinery, we should find probably that we could not sell our hand-made goods at the market price, and that the demand for our machine-made goods would be very heavy because of the low price; and yet our business would be losing money, for our distribution of costs would be on the assumption that the hand-made goods would bear their share of the overhead costs, and since those hand-made goods would not be sold, they would not make up the de- ficiency in burden borne by the machine-made goods. The only useful accounting, then, is to see that the overhead costs are borne by the particular product involved in their use. Another device commonly adopted for the dis- tribution of overhead costs is a proportion based not on wages, but on hours of labor. This is obviously A & A-23 354 ACCOUNTING AND AUDITING less satisfactory than the distribution based on wages; for it would carry as much overhead cost to the product of the labor of a boy working by hand for seventy-five cents a day as it would carry to the product of the labor of a skilled workman getting six dollars a day and working with a very high-cost machine. This is in reality the height of absurdity, and unless practically all work is done under the same conditions, both of wages and of the utilization of expensive equipment, one might almost as well not attempt to distribute overhead cost at all as to distribute it all on this basis. If, however, the benefit of any particular portion of burden is clearly shared by any product in the ratio of labor, this basis may be used for that portion, but the desirable thing is to keep as low as possible the number of bases; then the accounting* is simple. The scientific method, at least for all shops where many types of goods are produced under varying conditions, is to take into account the several ele- ments involved in the production of every article — and this, as will be seen later, is not nearly so serious a task as might at first thought appear, — and group them so that those assignable on the same basis may be treated in a lump sum. The general overhead costs may be grouped roughly as follows: first, ad- ministration and superintendence, — that is, the cost of running the office with its accounts and records, and the cost of directing the labor into proper chan- nels so that the maximum product is got with the minimum of expenditure; second, the costs for the buildings which house the workmen, the supplies, and the machines ; third, the costs connected with the DETEEMIXATIOX OF COSTS 355 macliinery itself; and, finally, the costs of power. A large portion of these expenses, it will be noted, attach themselves directly to machinery, for the amount of space required is determined largely by the size and character of the machinery, the amount of interest and insurance and taxes is determined by the cost of the machines plus the cost of the build- ings (which can be distributed in large part on the basis of machinery), and the amount of power required is determined directly by the machinery. If, then, we attach these items to machinery and distribute them on the basis of each machine's pro- portion of that cost, so that each manufacturing order will be debited for these costs on the basis of its use of the machine, we shall have very few over- head costs remaining to distribute on any other basis. Let us attempt, therefore, to attach as many of these overhead costs as we may to the machines utilized in manufacturing processes. It is true, of course, that the buildings are to protect workmen as well as to protect machines, but, where the work is done by machinery, for housing purposes the workman and the machine form a unit, and, consequently, we may simplify our task by con- sidering that space occupancy is a machine expense (allowing, of course, room enough for the workmen to get about and utilize the machines). Let us first, then, find all the costs connected with space and dis- tribute it to the machines in proportion to their space occupancy. The first cost in connection with space is the rent, and that is cost to the manufactur- ing end of the business, even though the building is owned by the proprietors; for they as owners are 356 ACCOUNTING AND AUDITING entitled to collect rent from the manufacturing processes quite as much as if the building were leased to outsiders. If the product does not compensate the business for the use of its real estate, the business is not profitable, and prices must be fixed at such a point that the product will give that compensation. Starting, then, with ground rent, we add interest on the cost of the buildings, depreciation which is in- evitable with the lapse of time (at least, on the build- ings themselves, even though the ground rent may be actually rising), repairs which are necessary to keep the buildings in an efficient state, insurance against loss by fire, and taxes. These together com- prise the total expense to the business for protection against exposure of its machinery and of the men to run it; and this expenditure must be borne by the product of the machines in proportion to the amount of space required by these machines. If any ma- chine, then, occupies one one-hundredth of the total floor space of the shop, its share of floor-space cost will be one one-hundredth of the total figure which we have just obtained. We must next add the cost of heating; this, however, should be based not so much on floor space as on cubic capacity. Lighting, on the other hand, need not necessarily be on the basis of space at all, for some large machines may be operated with very little lighting; the basis here, therefore, will be the number of lights required for this machine, as compared with the total number of lights required for all machines. The second group of costs attached to machinery comprises those connected with the mere possession of the machine itself, and includes interest on the DETERMINATION OF COSTS 357 cost, depreciation due to obsolescence, repairs re- quired to keep it in condition, insurance, and taxes. These costs, it will be observed, continue even though the machine is not in actual use ; though the repairs included here comprise only the slight items of periodic care to protect it from rust and dust. The next group of machine costs are those con- nected with the operation of a machine when run- ning. These include the consumption of oil, waste, and other supplies, depreciation due to wear, repairs necessitated by the giving out of small parts, and the cost of the small tools and other equipment attached to the machine for its manipulation. The actual cost in connection with these tools, however, is not the original cost of the tools themselves, but simply interest, depreciation, repairs, insurance, and taxes, on their value. The last item in this group is superintendence; though this item has no direct con- nection with the cost of the machine itself or its operation, we are endeavoring to attach to machinery as many as possible of the overhead costs, and if several machines are run under one superintendent, and they require equal shares of his care, we may well distribute his wages among the orders on the basis of their use of machines. If, on the other hand, various machines in any room require dif- ferent amounts of attention from him, it would be difficult, probably, to say what share belongs to each, and this cost of superintendence would be introduced elsewhere. The last group is the costs connected with power. These, it must be noted, include not merely the cost of fuel and of employees to take care of the engine. 358 ACCOUNTING AND AUDITING but many incidental costs connected with the power establishment. Among these would be the space of the power plant — either for the portion of the shop occupied by the engine room, or the space cost of a separate building. If there is a separate building, the five elements which we have previously seen in other connections (interest, depreciation, repairs, insurance, and taxes) must be figured on the whole power establishment. Next we have the same five elements on the power plant itself, that is, the boilers, engines, etc., including shafting, belting, pulleys, and other transmission elements not already included elsewhere. Finally, we should have, be- sides the fuel and the wages of engineer and fireman, costs for water, oil, waste, etc. When we have deter- mined the full power cost of the whole establish- ment, the amount chargeable to each machine is de- termined by the ratio of its horse-power consump- tion to the total horse-power consumption of the establishment. If we now add all these costs together — that is, the four groups of space cost, machine cost, use cost, and power cost — we have the total running cost per year for our machine. If this is now divided by the number of working hours in a year — making allow- ance, of course, for the fact that no machine can run all the time, but suffers some loss of time because of the need of repairs, cleaning, etc., — we shall have what is commonly called the '* machine hour rate." It is obvious that every job requiring the use of any machine for one hour is costing more than its prime cost (cost of material and labor) by the amount of this machine hour rate, for the total cost of the ma- DETERMINATION OF COSTS 359 chine for the year divided by the number of working hours has given us this hour cost for that machine. The accounting for this additional cost to each order based on this utilization of machinery is very simple, for if on all order slips sent in by workmen an entry is made showing the number of the machine and the nmnber of hours it was utilized, the office can readily enter on the cost book the overhead charge which should be added to the prime cost ; this is found by multiplying the hour rate by the number of hours. We have now distributed a large portion of the total overhead cost. We have remaining chiefly the items of administration, superintendence, some addi- tional costs connected with stores, and space-cost for parts of the factory which do not utilize machinery. So far as in any part of the shop all work is done by hand, space-cost for that portion may be distrib- uted on the basis of labor-time, for a man working at six dollars a day takes as much space, heat, and light, usually, as a boy working at seventy-five cents a day. The full remaining space-cost of the establishment may be provided for if the space occupied by stores, by superintendence, and by the administration, is charged to each of these departments. Stores must be charged for freight and cartage, and for interest, depreciation, taxes and insurance on average stores kept in stock; the total gives an additional sum which, when converted into a percentage, may be added for each order to the amount already charged for stores. Then the administration expenses, in- cluding a share of space cost, may be distributed over all the product on the basis of a fixed propor- tion of administrative costs to other costs. If in the 360 ACCOUNTING AND AUDITING experience of this shop it is found that of the total manufacturing costs, including not only prime cost and overhead cost but administration, ninety per cent, is for combined prime cost and burden, and ten per cent, for administration, to each order one-ninth of the cost shown on the cost book for items already figured should be added for administration. This process will absorb all the joint or overhead cost for the factory and leave each order charged with ap- proximately its proper proportion — that is, as nearly so as it is possible for any estimates and calculations to provide. It should be noted that, though a good deal of this sounds like mere estimating, most of it is based on known facts. We do not, for instance, know what is the actual depreciation of any machine in any period, but that is a thing which can never be known under any circumstances, and yet some provision must be made; we do not know what will be the actual annual cost for repairs, but we do know after a business has been running a few years what is the actual cost for rejiairs as an average, and we have no reason to suppose that the amount will be particu- larly higher or lower during any period; we cannot know what is the actual coal consumption during the hours any particular job is on a machine, but we do know from past experience what is the normal ratio of fuel to power, and may use that with sufficient accuracy for the present purpose; we do not know what is the actual administrative cost while this order is going through the shop, but if we know what has been in the past the ratio of administrative cost to manufacturing cost, we may, unless notable DETERMINATION OF COSTS 361 changes have occurred, use that ratio with a pretty close approximation to truth for any particular period. Of course, since the purpose of careful cost accounting is to eliminate as much as possible all waste, it is constantly hoped that the costs this year will in all particulars be lower than in previous years, and, therefore, it is usually safe to use as a basis the figures for earlier years, for the present year's variation is likely to be on the safe side. All the bases may be revised, moreover, as often as the managers think worth while; and the accounting fur- nishes information for the revisions. The preceding discussion does not attempt to cover all the desirable distributions of overhead costs, of course, for the subject is so full of detail that nothing less than a large volume would cover all the points which might arise even in one factory. Nothing is attempted here more than a general out- line of the plai-. Many employers scofif at such a system, for they say that, since a large part of this determination of costs is at best only an estimate, it is well enough to let it all go as an estimate and satisfy oneself with the absolute results which, at the end of the year, show only whether one has made a profit or a loss. The best answer to that criticism is the fact that in many large shops the kind of plan outlined above is actually ^practiced, and has been practiced for many years, and that the managers are satisfied that, though the cost of accounting in such detail is heavy," it is far more than offset by the greater precision in making prices, in directing the manager as to w^hat particular lines of work he had best push, and in preventing waste. It is true also 363 ACCOUNTING AND AUDITING that in many establishments cost accounting systems have been attempted with great detail, and have been thrown out by the managers after a short trial be- cause apparently not profitable; but in many such cases it has been found on investigation that the system was not scientifically devised in the first place, and that the men left in charge, having no sympathy with it, made no effort to give it a fair trial, or were incompetent to carry out the scheme with anything approaching good judgment. It should be noted that although the original cal- culations necessary to apportion overhead costs on the plan outlined above are laborious, when they have once been carried out the system is more or less automatic. When, for instance, the space cost of the whole establishment has been found, it does not need to be found again until some change has arisen in the conditions; and the space cost for each par- ticular machine is simply a certain proportion of the whole. Similarly, when the total power cost for the establishment has been found, that total is used for all machines by a simple calculation of proportion. One circumstance is not provided for in the scheme outlined above. Our calculation has been based on the assumption that all machines are run full time. In many shops certain equipment is neces- sary in spite of the fact that it is in demand only a few hours a day. Obviously some provision must be made for that sort of thing, for if overhead charges are distributed on the basis of full time for all ma- chines, and then some machines are part of the time idle, the product will not absorb all the overhead costs at the end of the year. It is desirable, there- DETERMINATIOiSr OF COSTS 363 fore, to keep a record of the actual running time of each machine, and then in calculating the charges to recognize the fact that the orders utilizing that machine must pay for the idle time. This is a prin- ciple recognized practically everywhere. Proprietors of public halls, for instance, do not determine their charge for an evening on the basis of three or four horn's out of a possible 8,760 hours per year; for such a hall is used commonly only two or three hundred times a year; if those who use it do not pay their proportion of this idle time, the proprietors do not receive adequate compensation for the use of their capital and sufficient in addition to cover deprecia- tion and other expenses. In connection with idle time we find that careful record is demanded by the same three considera- tions that make any cost accounting imperative. Only when idle time is known can prices be fixed properly as between various articles of product ; only then can one learn how to provide for the elimination of waste in the extremely important matter of the utilization of equipment ; only then can one know whether it is more profitable to do all parts of manufacturing work in one's own shop or to send out a part of the work to be done elsewhere — or even to abandon some kinds of work entirely. The determination of prices is likely to be affected differently according to the circumstances under which the idle time is suffered. If the shop is in competition with other shops much larger or turning out such a kind of product that all their machinery is used for full time, it cannot compete in low prices unless allowance is made for the part-time use of its 364 ACCOUNTING AND AUDITING machines and the loss is taken out of profits. This may be illustrated roughly by supposing that in the shop in question, since some drilling is now and then necessary, a drill must be maintained in constant running order, but since the amount of drilling is comparatively small, one drill working a quarter of the time can do all the work. If this shop is in com- petition with another which has a large patronage, so large that the work turned out by the other ma- chines requires enough drilling to keep one drill con- stantly occupied, the prices prevailing in that com- munity are determined by the shop running its drill full time; and the shop having only partial use for its drill must, if competition is keen, take the loss for idle time out of its profits. If, on the other hand, the work in this community requiring drilling is small, so small that one drill can do all the work for the community in a quarter of its time, the minimum demand of the community requires the maintenance of a drill, and that cost may be charged to the com- munity in the prices set on the work done in that shop. Even if it were known that no competition is to be suffered, and that prices can be made always to include the cost of idle time for work requiring any drilling, it would still be worth while to keep sepa- rate record of the actual amount of idle time on that machine; for only so would the manager know whether conditions were improving with regard to the use of that machine or not ; and only so would he know whether his estimate for idle time used in cal- culations for the work of this year needed revision in making his calculations for a subsequent year. DETERMINATION OF COSTS 365 It is desirable, therefore, that for each machine a record shall show the work done each year. The burden to be borne by any order in connec- tion with the utilization of machinery is not neces- sarily the same for all hours, even though there be no idle time. Some work requires a considerable Xjreparation of the machine, such as adjustments and fitting special tools. Obviously, the cost for two hours spent in adjusting a machine to a job is less than for two hours' actual work on that job; for the two hours of preparation involve only two of the four groups of cost discussed in an earlier paragraph, — that is, space cost and machine cost. The cost is as great for space, heat, light, insurance, taxes, in- terest, and obsolescence, for two hours setting up a machine as for two hours while the machine is run- ning; but of machine-use cost and power cost, set- ting-up involves nothing. It is necessary, therefore, in order to make complete records, to distinguish be- tween what may be called ^^ occupied time" and *^ running time." What we have heretofore treated as one machine rate may well be split into two rates. If we add together the space cost and the machine cost for a year for any machine and divide by the number of working hours, we get what may be called a *' minimum rate," — that is, what it costs the shop each hour to maintain that machine ready for use, whether running or not. If we add together the machine-use cost and the power cost — that is, the sec- ond and third groups of costs connected with each machine — and divide by the number of working hours in the year, we get what may be called an *^ addi- tional rate," — that is, what must be charged to each 366 ACCOUNTING AND AUDITING order for the actual extra cost of running the machine. If a machine were occupied all the time, the charge to each order would be merely the mini- mum rate multiplied by the number of hours the job was at the machine, plus the additional rate multi- plied by the number of hours the machine was actu- ally running at that job. The same result would be obtained, of course, if w^e were to multiply the run- ning hours by the sum of the additional rate and the minimum rate, and were to add to this the minimum rate multiplied by the number of hom's the job was occupying the machine in preparation. The moment we introduce idle time, however, we realize that each job must bear its proportion of all the necessary idle time on machines required by that job. If a machine is normally running but half time, just as a public hall may be occupied but half time, the jobs requiring the use of that machine must pay for twice the number of hours actually engaging the machine, — else the full space cost and machine cost of the machine will not be compensated by its product. It is clear, however, that for idle time we need figure only what we have called the *^ minimum rate," for no machine-use cost or power cost is incurred by idle machinery. To get the desired fig- ures we have only to require that on the order slip or time slip handed in by each workman, and show- ing what machine he used, he shall show for how much of that time the machine was actually running. In the accounting department the occupied time is multiplied by the minimum rate, and the running time by the additional rate. The total is the earnings of that machine for that specified time, and is the DETEEMINATION OF COSTS 36f correct charge to that order on this score. If, how- ever, this machine, taking the year through, is occu- pied half time, the order should be charged an addi- tional sum equal to the minimum rate charged; for this order must pay its sharq of idle time, which, in this case, is just the same as the occupied time. If the machine is occupied three-fourths of the time, the charge to the order for idle time is one-third the charge for minimum rates (for since one-third as much time is idle as is occupied, one-third must be added to absorb the full cost of maintaining the ma- chine). These amounts are added on the cost book to the other costs as shown from other sources — that is, the prime costs of material and stores, and the other elements of burden comprising administrative costs, secondary stores costs, administration, etc. The result is the total manufacturing cost for that article. The figures of the order slips handed in by workmen must be carried also to another record. Since it is desirable to know the actual accomplish- ment of every machine, a ledger is commonly kept for accounts with all machines. On this ledger are entered the occupied hours, the running hours, and the idle time. In this case, however, the idle time will not be an estimate but the actual idleness. It will be the diference between the occupied hours and the possible hours. As a matter of fact, how- ever, the actual idleness does not need to be com- puted each day, for, of course, the number of occu- pied hours at the end of any month subtracted from the total number of shop hours will give the idle hours; and hence this item need be entered only ai 368 ACCOUNTING AND AUDITING convenient intervals. At the end of the year this machine ledger account makes it possible to learn whether the estimate of idleness was erroneous, whether conditions within the shop have improved so far as to prove good management, w^hether it is desirable that the machine shall be abandoned and its work done elsewhere. We have now completed our study of manufactur- ing costs. Many items besides those suggested here may prove in any particular factory to be necessary in a cost calculation. It is impossible to construct any scheme which shall fit all factories. All we can do here is to consider the principles. In the main, the method of distributing selling costs is similar to that for distributing the burden in manufacturing. An obvious element of burden in selling is space cost. This will be determined by the same method as for manufacturing costs — that is, chargeable to the selling department is a certain proportion of the total space occupied by the estab- lishment, of interest on the investment in buildings, of insurance, of taxes, of depreciation and repairs on buildings, of lighting, and of heating. A certain part of the general administrative expense of the business must be borne by the selling department. The wages of persons employed exclusively in that department, with advertising costs, costs of station- ery, postage, commissions, traveling expenses, etc., can be known directly and should be charged to that department. Most selling costs are capable of deter- mination by percentages, and if it is found that nor- mally selling cost is fifteen per cent, of manufactur- ing cost, that percentage should be added to the cost DETERMINATION OF COSTS 36d of each order — unless peculiar circumstances in con- nection with that order require a larger siun or show that the order should be relieved of a portion of the general charge. If, for instance, a special advertis- ing campaign has been conducted for a single article, most of the cost of that campaign should be charged to the sales of that article — ^but not necessarily all of it, for the general reputation of the firm may have been improved so much that other articles share in the benefit. So far as any work is done for the use of the shop itself, and, therefore, involves no selling expense, the cost should be deducted from manufacturing costs before the percentage for sell- ing expenses is figured. Since it is convenient to have a reference list of costs for all articles, it is well to have for each article of product a book or a series of cards which shall con- tain a summary of all costs as shown by^past experi- ence. This would show, normally, in summary form, something like the following table : stores (from order slips) $ 6.27 Stores costs (percentage of above) .12 Wages (from order slips) 3.27 Superintendence (percentage of above) .24 Minimum rates (from order slips) .33 Idle time (ratio to above) .66 Additional rates (from order slips) .85 Department and general expenses (percentage of total above) .50 Total producing cost 12.24 Selling cost special ,30 Selling cost general (percentage of producing cost) 1.22 Total cost 13.76 This all sounds very complicated, but the book- keeping is comparatively simple, though, of course, a good deal of labor is required in handling the de- A & A-24 370 ACCOUNTING AND AIJBITING tails. We saw that the first element of burden is space cost. If a ledger account is kept for space cost, it is a simple matter at the close of the year to transfer to that account all expenses which have gone to make up that space cost, such, for instance, as rent, lighting, heating, building repairs, deprecia- tion, taxes, and insurance, so far as those items relate to buildings and ground space occupied. Then Space Cost may be credited by the distribution of this total to accounts representing the various de- partments of the business concerned, such as Stores, Minimum Rates (which is ultimately to be closed into Manufacturing), Administration, Power, and Selling. These credits to Space Cost will always absorb the debits and leave Space Cost with no bal- ance. Similarly, to Minimum Rates should be charged the elements connected with the cost of ma- chinery (interest, insurance, taxes, depreciation, possibly superintendence), and its share of space cost, as already indicated. These debits to Minimum Rates will then be offset in part by a credit to Idle Time; for since we have charged Minimum Rates with the total costs of burden connected with the equipment of machinery, and Idle Time is respon- sible for a part of that cost, it should relieve Mini- mum Rates of a part of that burden, and should be debited for the actual cost of idleness as shown by the machine ledger (number of hours idleness for each machine multiplied by the minumum rate for that machine). Since Idle Time is thus debited, by Minimum Rates, for its share of space cost and machine cost, it must also be credited for the amount charged to orders — that is, by a credit to Manufac- BETERMIKATION OF COSTS 3^1 turing for the idle time on the cost book. If orders prove to have been charged with a smaller sum for idle time than the cost warrants as already indi- cated, Idle Time will have a debit balance and show a loss; but if more, as will be the case if idle time is being eliminated through better management or through improved conditions, it will show a credit balance, and, therefore, a gain. The only purpose of keeping this idle time in an account by itself is to learn whether the amounts charged to orders are actually more or less than the final cost of such time. Minimum Rates is next to be credited for the amount entered on the cost book as minimum rates and charged to manufacturing orders; for the things debited to this account, as indicated above, have pro- duced that value charged to orders. The correspond- ing debit is to Manufacturing. Power, in turn, is debited for wages, fuel, depreciation, taxes, insur- ance, space cost, stores, etc., and is credited by Addi- tional Rates. Similarly, Additional Rates is charged with superintendence, machine repairs, oil, power, etc., and it is credited by a transfer to Manufactur- ing. All these manufacturing expenses in time reach the manufacturing account, and the final debits to Manufacturing, for pay roll, stores, minimum rates, additional rates, idle time, administration, etc., show the total manufacturing costs. It is notable that all these accounts are now balanced except Manufacturing, which contains in itself a summary of all the others. The purpose of keeping these others is simply to show the amount on each score and make possible a comparison with other years. ^72 ACCOUNTING AND AUDITING A manufacturing account under this system, though strictly nominal, for it represents expenses, ought practically always to be in one sense real, for it should represent the value of property manu- factured. If an inventory were to be taken of un- finished goods in the shop, and the basis of valuation were the cost so far incurred, it should agree with the balance of the manufacturing account as shown. It is desirable to keep up the adequacy of this inven- tory wherever possible. Whenever transfers are made from the shop to the stock room (that is, the room in which finished goods are kept). Stock is debited for the goods at the exact figure of cost, as shown by the cost book, and Mamifacturing is cred- ited for the same figure. The balance of Manufac- turing will then show the cost or value of goods still in the shop. If, similarly, when goods are sold. Stock is credited for the cost price of the goods sold, and Trading account is debited at the same price, the balance of Stock represents the cost of finished goods on hand in the stock room. If, finally, when goods go to the shipping room. Trading is credited at the selling price, the balance of Trading will at all times show the profit on goods sold. Here, then, is a complete system showing at all times the inven- tories, the costs, the relation of the separate items of cost to the various groups of cost, and affording a means of comparison for each item of cost with the figures for other years. The principles here shown are applicable in practically every case; the only variations will be those required by the peculiar circumstances of each individual shop. It is to be noted, moreover, that this principle of DETERMINATION OF COSTS 373 distribution of burden is applicable in many other things than manufacturing. In most lines of enter- prise, whether of a commercial, political, or chari- table nature, it is desirable to know what is got for what is spent. Only when an attempt is made to distribute joint costs over the product or service rendered can a manager know whether he is getting his money's worth or whether further economies should be sought. Nothing could be further from the ordinary commercial enterprise, at least in purpose, than the conduct of a charitable hospital. It must be realized, however, that even more than in a com- mercial enterprise is it desirable in a hospital that the most shall be got for the money; for the donors have given money in trust for the public welfare, and if the managers cause any part of that money to produce less than the maximum public benefit, they are either intentionally or by neglect cheating the public of its belongings. Even in such institutions, therefore, cost accounting is essential. If undue space is provided for administrative officers, doctors, and nurses, cost is unduly increased. If the patients in private wards do not compensate the hospital sufficiently for their accommodations and for their food and treatment, the charity public is cheated. Only careful cost accounting will show when the costs are met. CHAPTER XVI SETTLEMENTS BASED ON ACCOUNTS An accountant is likely to be concerned indirectly in many business operations which are out of the usual course. He needs to know something of law and custom in relation to circimistances that may never arise, for though he is not responsible for carrying out any operations, he is responsible to see that his books preserve the information that may be required by those in authority. An accountant is not primarily responsible to make a fair distribution of profits between partners, for instance; but his books should be so kept that the person making the division can learn the desired facts. The same thing is true with regard to trusteeships, executorships, and the settlement of the affairs of a bankrupt. Let us take these in order. In partnerships, the books must show the facts with regard to all a partner's relations with the busi- ness; for partnership agreements may provide for so many elements in the final distribution of profits that books which do not properly distinguish between these various elements may prove at any time deficient. If a partnership agreement does not specify how profits are to be distributed, the presumption is, unless there is some extraneous evidence to the contrary, that the partners are to share equally in 375 376 ACCOUNT^ING AND AUDITING both profits and losses. Sometimes a partnership agreement provides that profits are to be distributed in the ratio of partners' investments — and, of course, it is assumed that the lengtli of time the capital is in the business is one of the elements of the invest- ment itself. Sometimes a provision is made that interest on capital shall be allowed partners as the first element of profits, and that after this provision is made the profits shall be distributed on some other basis. Sometimes provision is made for definite salaries to be allowed to partners. This is common where a considerable disproportion exists between the amount of 'investment by different partners and the amount of personal profit which they are ex- pected to appropriate; especially is this common where one man furnishes the capital for an enter- prise which he little understands and another with little or no capital furnishes the knowledge of the business and the managing ability. Sometimes provision is made that a minimum investment shall be maintained by each partner and that if any part- ner falls behind in his investment he shall suffer a penalty — usually through the medium of an interest charge. Primarily, an accountant is not expected to pass judgment on the equity of a partnership agreement; but since it is his task to see how the agreement works out in practice as applied to the figures of any particular business, he ought to be able to make recommendations to his superiors. Let us see the operation of the various provisions for distribution already indicated. A division of profits without regard to capital or salaries is, of course, easy to administer because SETTLEMENTS BASED ON ACCOUNTS 377 one has merely to determine net profits and divide it equally among partners. A glance at the books in any case should show whether that is likely to be approximately fair. If the capital accounts of part- ners show that any one of them has an investment far lower than that of the others, or that his invest- ment is for a shorter period, resulting commonly from a withdrawal of funds in the course of the year, it is obvious that some other provision should be substituted for equal division among partners, — unless, indeed, it is understood that the partner short in capital renders special service in other respects. A division of profits on the basis of investment alone is almost equally simple; for if one partner has an investment of $15,000, another of $10,000, and another of $5,000, it is obvious that the division of profits should give one-half to the first (for he has invested one-half of the total $30,000), one-third to the second, and one-sixth to the third. It is equally obvious that if the personal services of the three partners are of equal importance, the r^tio of divi- sion is unfair, for a certain sum ought to be pro- vided for salaries alone and then the remainder apportioned on the basis of capital. If the books show that the amount of partners' investments has varied from month to month, some scheme of equali- zation is necessary. A common device is to figure interest on those investments and find the ratio be- tween the interest on the investment of each and the total interest of all the investments, and then to apportion profits accordingly. If the withdrawals are usually at monthly intervals, however, it is com- mon to multiply the net investment each month by 378 ACCOUNTING AND AUDITING ^ the number of months it remains in the business and get as a result a sum for each partner equivalent to an investment for one month. A comparison of these equivalent; investments will show how profits are to be distributed between partners. If, for example, the total investment of the first partner multiplied by the months which each portion was in the business gives $150,000, of the second, $75,000, and of the third, $50,000, profits should be divided on the basis of six-elevenths (150/275), three- elevenths, and two-elevenths, — instead of one-half, one-third, and one-sixth, as we found when time was neglected. When provision is made, as is common, that the first charge against profits shall be interest, at a fixed percentage, on the partners' investments, in- terest is figured on each partner's investment for the time it is in the business, and he is credited on his account with the amount — which, of course, is charged to Interest. Similarly, when provision is made for salaries, or for interest and salaries, credits are made to the partners' accounts and debits to Salaries, or Ex- pense, or Profit and Loss, as the case may be. The remaining profit is then, as before, divided between the partners equally unless there is provision for some other basis. When provision is made for penalties to be charged to partners whose capital is deficient, a com- plication arises which, without advance provision in the partnership agreement, may cause unfortunate differences. If, for instance, provision is made that each partner shall maintain at least a minimum SETTLEMENTS BASED ON ACCOUNTS 379 investment, and that any partner whose investment is below that minimum shall be charged interest on the deficiency, question may arise, at the time of making the charge to the partner for this interest, as to the account to be credited. The other partners sometimes demand that the interest charge to the delinquent partner shall be credited directly to them in proportion to their shares of profits. The delin- quent partner, on the other hand, claims that such credits shall be made directly to the profit and loss account; and as he, because he is a partner in the business, is entitled to a share in the profits of the business, he is entitled to his share of the profits resulting to the business from charging him interest on his deficiency of capital. Unless there is specific provision to the contrary, it is obvious that, on the basis of all accounting methods, the interest charged the delinquent partner is an earning of the business, and he as a partner is entitled to share in it. If the partners desire that penaltiqs for delinquencies shall accrue directly to other partners, provision for this should be made in the partnership agreement. Unless provision is made to the contrary in the partnership agreement, it is understood that losses shall be shared on the same basis as gains. Under one circumstance the books are likely to show that this works great hardship. If a firm has not good credit because of poverty, it cannot always borrow all the money it needs for the economical conduct of its business, and for any partner to abstract or with- hold from the business capital which he ought to maintain is to hamper the business and possibly not only to keep from it profits which might otherwise 380 ACCOUNTING AND AUDITING accrue, but absolutely to cause it loss. It is clearly unfair that under these circumstances losses should be shared on the basis of capital investment; for then the partner straining his utmost to keep up th^ operating capital of the firm suffers most in the divi- sion of losses, and the partner who has withdrawn his capital suffers least. All partnership agree- ments should provide, therefore, that each partner shall maintain a minimum capital, and that on defi- ciencies he shall be charged a rate of interest not only as much as the market rate but really much more; this will withdraw from him the temptation to sacri- fice a business in which he has only a share and devote his capital to operations from which he will derive the sole profit. In fixing the rate, too, one should realize that if this charge for deficiency in capital is to be carried through the profit and loss account, the delinquent partner will receive a share of the profit from his own penalty, and the rate should be placed at a point that will make it effective. It should be further observed that often partners loan to their own ^business sums of money which — as is distinctly understood not only by them but by the other partners — are not invested; such loans, therefore, are not entitled to profit and should not share in losses — unless, indeed, the partnership goes into insolvency, in which case the loan of the part- ner will suffer even more than the loans of out- siders (for since the partner is himself responsible to the full extent of his property for the debts of the firm, he can demand nothing by way of payment until all outside debts have been met) . It is obvious from this discussion of the various SETTLEMENTS BASED OiST ACCOUNTS 381 methods of distributing profits that the bookkeeper must be careful to distinguish between the various relations of each partner to the partnership. It will be found in practical experience that if a busi- ness has suffered loss, and especially if it is to be dissolved (so that final settlements must be made betw^een partners), distribution of assets must fol- low a definite order, and no sum must be given to any partner on account of one of his relations until all sums have been paid to other partners on account of prior relations. For this reason there must be no risk of confusion on books between a partner's investment account, his personal (or salary and withdrawal) account, his interest account, and his loan account. It is impossible in a book of this sort to discuss the various difficult complications arising from practical problems, and we must content our- selves here with the observation that if these vari- ous relations just indicated are properly distin- guished on the books, a person familiar with the law will have no difficulty in making final settlements. We saw in the chapter on the peculiarities of corporation accounting that provision must often be made for good will. It is not usually desirable in a partnership that partners shall be given credit for the amount of good will belonging to the business, even though it be known that this is a large item; for any sum shown by the books as credited to a part- ner in excess of the minimum required by the part- ners' agreement may be by him withdrawn. It is obvious, however, that good will is not subject to withdrawal; for it exists only in connection with the running of the business, and the moment it is with- m ACCOUNTING AND AUDITING drawn from actual connection with the business it disappears. Partnership agreements sometimes pro- vide, however, that in case of the decease of a part- ner his heirs shall be entitled to recover from the firm the deceased partner's share of the good will. Here, however, it is to be noted that the good will is not withdrawn from the business, for the remain- ing partners purchase that good will from the heirs of the partner deceased and they maintain it in the business. In such a case, of course, the proper thing is to figure the good will on the basis provided by the partnership agreement and credit the amount to the deceased partner. When payment is made, his account is balanced, and the good will appears on the books as an asset; for the original entry must have been a debit to Good Will and a credit to the account of the deceased partner. This gdT)d will may properly stand as an asset on the books; for unless overstated it represents a value which, though in- tangible, is quite as real as that of tangible things, and, since it has cost the present partners some value, on the theory that the only proper basis for capital charges is cost or sacrifice it may stand on the books as an asset. It is true, of course, that the good will which properly belongs to the remaining partners is a true asset, but since it may not be withdrawn by them, though it may be transferred, it should not appear as credited to their accounts — and, there- fore, cannot appear at all. In an early chapter attention was called to the fact that single entry is not scientific bookkeeping, for it does not show sources of profit nor causes of loss. An accountant is often asked to provide inf or- SETTLEMENTS BASED ON ACCOUNTS 383 mation necessary for a partnership settlement from books kept only by single entry. It is desirable here, therefore, to make a sliglit examination of sin- gle entry. Under the strict single-entry method no accounts are kept except for property and claims. When merchandise is sold, the only record made is a debit to the customer; when a note is received from a customer, the only entry is a credit to the customer; when cash is paid for wages, no entry is made on any book which will lead to the ledger, but the item is w^ritten on the cash book in order to enable the bookkeeper to see how much cash he ought to have on hand. Usually, in practice, a little of the double-entry method is incorporated in single- entry books, and credits are made to Bills Payable, for instance, when notes are issued, and debits to Bills Receivable for notes received. Even then, however, the books are not double-entry books, for no attempt is made to produce equality between the two sides of the ledger. Under the single-entry theory, since assets can always be counted, no need exists for entry on the books. The method of learn- ing profit or loss under single-entry is the method pursued in proving the six-column statement by double-entry; that is, a comparison of the balance of resources and liabilities at the end of the year with that at the beginning of the year shows (except for withdrawals and new investment of capital by partners) the profit or loss of the year's operations. Under double entry, it will be remembered, the books give two methods of learning profit, — one by a com- parison of assets and liabilities, the other by a com- parison of losses and gains. The single-entry method 384 ACCOUNTING AND AUDITING of determining total profit or loss is quite as good as the other, if it can be assumed that no errors have been made on the books ; but since it shows no details and gives no indication of the sources of profit or causes of loss, it is entirely inadequate, and furnishes no basis at all for any accounting properly so called. When, therefore, one has to learn from single-entry books what profit has been made by a partnei^hip, one has only to draw up a statement of assets and liabilities for the year in question and compare it with a similar statement for the year before — making allowance, of course, for with- drawals .-and investments by partners. If a state- ment for the present time compared with that of the earlier time shows no change, it is obvious that the profit equals the withdrawals of partners — that is to say, the partners have withdrawn during the year just the profits made. If, on the other hand, there is no increase of assets and the partners have added to their investment during the year, as shown by their capital acounts (which, of course, must be main- tained even in single entry, to show how much of the capital belongs to each partner), the business has lost the siun of such additional investments. If the difference between the statements of resources and liabilities shows increased assets, the actual profit is that increase plus all withdrawals by part- ners — for in spite of the sums withdrawn profits still exist in the business, and so the total profits have been present profits plus withdrawals. Let us turn next to trusteeships. Their peculi- arity is that the distinction between capital and revenue is under them likely to be much more im- SETTLEMENTS BASED ON ACCOUNTS 385 portant than in ordinary business transactions. If, for instance, the trustee is executor or administrator under a will, and the will provides that the ^^ corpus" of the estate — that is, the body of the estate as dis- tinguished from income — shall be paid ultimately to one person, but the income of property shall be paid to one or more others, the trustee must realize that the corpus of the estate is the value of the estate at the moment of death. Very few business relations, however, reach culmination day by day. If, for example, the testator held bonds on which interest is regularly collected or real estate on which rent is regularly collected, the interest and the rent accrued on the day of death (though not yet due) belong to the inheritor of the corpus of the estate, but all in- come from these sources accruing later and begin- ning to accrue on the day of death belongs to those who hold the life-interest, or income. It is necessary for the trustee in keeping his books of account, there- fore, to see that all the elements of the estate are valued as of the day of death, even though collected later, 'and that all sums earned later are shown on his books as income. Under the law of most states the title of all personal estate vests immediately on death in the executor or administrator, and therefore he should keep books of account showing his responsibility to the estate. Real estate, however, under the law of most states, does not vest in a trustee, but passes at once to the beneficiaries under the will or under the general law, and, therefore, the trustee does nov ordinarily need to record real estate on his books. His first entry, after making an appraisal of tht A & A-25 ^g6 ACCOtJNTlKG AJ^D AUDITING estate, then, is a debit to the accounts representing specific kinds of property, and a credit to the per- sonal estate of the deceased. When any changes occur, such, for instance, as collections of rents and interest, he debits Cash, as in ordinary cases, and credits the personal estate for that sum which had accrued at the time of death, and credits Income for •its due share. When any payments are made to bene- ficiaries entitled to the income of the estate. Income is, of course, debited for those payments, and Cash, or the other necessary property account, is credited. If at the time of death rentals have accrued on real estate which is under the will or under the general law transferred directly to beneficiaries, the trustee will collect the rental on the next date of payment and will credit to Income the sum accrued since death. The sum accrued at the time of death will have been already debited to Eentals Accrued at the time the books were opened, and credited to personal estate. Many problems of executorship involve careful and complicated computations of the exact division be- tween income and principal. Their solution should be undertaken only by persons familiar with the mathematics of investment. We may turn next to insolvency. In case a trustee is required to settle the affairs of an estate, individual, partnership, or corporation, in insolvency, he must see that he has acquitted himself not only in reality but on his books for all responsibility as- sumed. The first step is usually to make an esti- mate, for general guidance, as to the probable yield of assets. This is usually made in the form of what is called a *' statement of affairs." Such a state- SETTLEMENTS BASED ON ACCOUNTS 387 ment usually has the liabilities on the left side of the sheet, because, since its purpose is to show how far the property is likely to liquidate liabilities, the first concern is to show what is the amount of such liabilities. Usually several classes of liabilities, with different degrees of security, are to be met. The order in which items shall appear is not, of course, of great moment, and the desirable thing is not so much to show totals as to show for each class of liabilities how it will probably fare in final settle-' ment. Any assets that must of necessity apply to specific liabilities, such as securities pledged as collateral, should be connected with those liabilities. So far as any liabilities are wholly secured, they do not affect the solvency of the business, and need to appear on the statement only to show that they have not been forgotten or that they absorb certain assets which otherwise would be useful in liquidating other liabilities. The primary purpose of a statement of affairs, therefore, is to show the unpledged assets in their relation to the unsecured debts. Naturally the first item is commonly the amount due to unse- cured creditors. Next is usually stated the amount of secured liabilities, with the estimated value of the security pledged; any excess value of the security is therefore free and available to set among the resources on the other side of the sheet, — unless, indeed, some of this surplus may be specially claimed by creditors partially secured. (See page 389.) Next among the liabilities come simis due to credit- ors partly secured, and from this is subtracted the estimated value of the security pledged for those lia- bilities; the balance, or excess liability, is added to 388 ACCOUNTING AND AUDITING the sums due to unsecured creditors. Next are added the liabilities on notes, the contingent liabil- ities, and finally the liabilities to preferred creditors, such as those for taxes, for fees in insolvency, for wages, etc. From this last class are deducted funds found on the other side to be available for the pay- ment of such preferred claims; for since these claims are legal preferential claims, they absorb the first free assets, and if sufficient free assets are available to provide for them, they disappear as unsecured liabilities. On the assets side of the sheet the gen- eral list of property is given first. Next follow the accounts receivable, which are classified as good — of which the amount is extended into the total column, — the doubtful — for which an estimate is made as to the probable yield and the amount ex- tended into the total column, — and the bad — which, of course, will yield nothing for the total column. Next follow the bills receivable with their estimated value; then the surplus from any values pledged to the secured creditors, as shown by the subtraction from the second item of liabilities. From the total of these may be seen readily whether any sums are immediately available to be laid aside for the pref- erential claims — as previously indicated; and if so they are at once deducted and applied to such claims on the other side. The total free assets now compared with the total unsecured liabilities will show probable deficiency. This, of course, is added as the last item on the resource side to balance the statement. A form is given below. SETTLEMENTS BASED ON ACCOUNTS 389 I o o o o o o o o o o o o ; o o o o '^ 'P^ R. 1 ^ tsTctT t^ ooco CM i «S ^ tZ) o o o o o IQ lO O^C5 O Oi t>^ «D t^ C<1 -M CO w .o o o o o o S o o o o o o ^ o o o o o o o^ •^ c^ (xT oo" t-O -«f> C3 "3 s Tj CO p 0) -» W)Q F'^H cc ►>. o B3 I O -^ O PH-Ji o '5 0^ o P. £ 2i ^ rt |5 oa Hi p2»-:i 390 ACCOUNTING AND AUDITING The next task of the trustee is to realize on the property. A common form of recording this on books of account is what is called a '^realization and liqui- dation account.'' If it is undesirable to close at once on the books all asset and liability accounts into the realization and liquidation account, an artificial ad- justment account may be credited for the necessary debits to Realization and Liquidation, and debited for its credits. The first entry under this plan will debit Realization and Liquidation for all assets at their book value — ^f or the book value naturally repre- sents the theoretical basis on which the realization will proceed. The adjustment account will be credited for the same sum. Next, Realization and Liquida- tion will be credited for all liabilities to be liqui- dated, and the adjustment account will be debited for the same sum. The result of these two entries is that Realization and Liquidation shows the book value of assets with which liabilities must be liqui-* dated, and the amount of such liabilities to be liqui- dated. (See page 392.) Among the liabilities, however, would not, of course, be included the pro- prietor's capital, for since this is an inside relation it does not need liquidation in the ordinary sense. As soon as any sum has been realized — ^by the col- lection of accounts receivable and bills receivable or the sale of merchandise, for instance, — Realization and Liquidation should be credited, for that sum has gone to reduce the amount which the trustee is responsible to realize on. As soon, on the other hand, as any of the sums so realized have been applied to the liquidation of liabilities. Realization and Liqui- SETTLEMENTS BASED ON ACCOUNTS 391 dation is debited for those sums, for the trustee has performed to that extent his task of liquidation. Since, moreover, whenever realization or liquidation has been carried out, the original property and lia- bilities on the books are now disposed of, entries should be made to the adjustment account and to the asset and liability accounts on the books so as to bring the books into accord with the latest situation. If, for instance, $5,000 is collected by the trustee on bills receivable, and with it $5,000 of bills pay- able is liquidated, the first entry is to debit Cash and credit Realization and Liquidation, for the realiza- tion, the second, to debit Realization and Liquidation and credit Cash, for the liquidation, the third, to debit Adjustment and credit Bills Receivable, to close Bills Receivable on the books, the fourth, to debit Bills Payable and credit Adjustment, to close Bills Pay- able. If, in the process of realization and liquida- tion, expenses are incurred, as is practically inevi- table. Realization and Liquidation is debited and Cash is credited; for these expenses paid are, from the point of view of the trustee, equivalent to liabili- ties liquidated. This charge does not need to appear on the old books in connection with any old account or on the adjustment account, for it has no relation to the old business except as Realization and Liquida- tion registers the settlement of old affairs. Realiza- tion and Liquidation is shown below for the condi- tions of the statement of affairs shown on page 389. It is assimaed that the estimates made there prove accurate ; otherwise the loss and deficiency would be affected. 392 ACCOUNTING AND AUDITING BEALIZATION AND LIQUIDATION (Assets at book value) $ 91,000 (Liabilities on the books) $ 57,000 (Liquidation of liabilities, (Contingent and accrued first claims) 19,800 liabilities) 16,950 (Percentage paid to unse- (Realized from assets) 46,000 cured creditors) 26,050 (Loss on realization) 45,000 (Legal claims) 150 Deficiency (unliquidated liabilities) 27,950 $164,950 $164,950 This Realization and Liquidation, as usually pre- sented, is far from clear; for it is a mixture of unlike things. Debits to it may be assets to be realized on, or liabilities liquidated, o:^ expenses of liquidation; and credits may be either assets realized or liabilities to be liquidated. The result is that no one can tell whether all liabilities have been liquidated unless he examines the detailed records. The purpose is served more clearly by opening separate accounts for each of the three elements of the combined ac- count, and calling them ^^Realization," ^^Liquida- tion," and ^^ Expense of Liquidation." The balance of Liquidation shows how many liabilities at any time remain unliquidated. The balance of Reali- zation shows at any time how far the realizations have approached the book value of assets. Expense of Liquidation shows the costs. If, when all assets have been realized and utilized as far as they will go in paying debt, Liquidation still has a credit bal- ance (showing debts outstanding), the capital of the business has been exhausted and some creditors are still unpaid. These three accounts are shown below. SETTLEMENTS BASED ON ACCOUNTS 393 REALIZATION (Assets at book value) $91,000 (Realized from assets) $46,000 (Loss on realization) 45,000 $91,000 $91,000 LIQUIDATION (Liquidation, first claims) $19,800 (Liabilities on the books) $57,000 (Liquidation, percentage to (Contingent and accrued) 16,800 unsecured creditors) 26,050 Deficiency 27,950 $73,800 $73,800 EXPENSE OF LIQUIDATION (Payment) $150 (Legal fees) $150 When affairs have been settled, it is convenient to have in one table or one account a complete state- ment of deficiency, if any has resulted. What is ultimately affected by the deficiency will depend in part upon the amount of that deficiency. If the business has accumulated a surplus of $20,000, and the deficiency proves to be but $10,000, clearly only the surplus account is affected; if, on the other hand, the deficiency is $50,000, surplus is $20,000, and part- ners ' capital, $70,000, the deficiency has wiped out the surplus and made a severe inroad into capital, so that the net result is a remaining partners' capi- tal of $40,000. If, finally, the deficiency is for $100,- 000, and the other accounts are as just indicated, the deficiency has wiped out the surplus, the capital, and, if the partners are now insolvent, a part of the debts due to outsiders. One interested in the business, moreover, desires to know not only what has been the ultimate result 394 ACCOUNTING AND AUDITING of the deficiency, but also from what it has origi- nated. A deficiency account may indicate whether the loss has arisen from a shrinkage of assets, from a destruction of assets, from outside claims made against the business because of its usual operations — such as bankruptcy of business houses whose notes the firm has accepted and has discounted or other- wise transferred to others on endorsement, — or from accommodation endorsements for outsiders by way of friendship — which, of course, are not normal or (in a sense) legitimate business operations. This can be easily shown by a deficiency account giving on one side capital items, or items connected with capital, and on the other side the changes in assets affected by realization and either shrunk or des- troyed, with the liabilities thrust upon the business from outside — that is, claims not arising from its operation, but demanding the surrender of assets for which the business has received no adequate return. Assuming the capital to be shown on the books as $34,000, this form of deficiency account would be as follows : (Compare with pages 389 and 393.) DEFICIENCY Eealization (loss) $45,000 Capital $34,000 Liquidation (new liabilities) 16,800 Balance (net insolvency) 27,950 Expense of Liquidation 150 ' $61,950 $61,950 As has been suggested in other connections, though a ledger form for such a statement is con- venient for the accountant, it is not always clear to persons not familiar with books of account. This SETTLEMENTS BASED ON ACCOUNTS 395 deficiency account may be very easily presented in ledger form, but is likely to be more intelligible if in the form of a statement with subtractions where- ever they naturally belong. It is always possible to draw such a statement so that its relation to other statements with which it is connected shall be ob- vious. In this case, therefore, the amount of defi- ciency, as sho\^ai by the deficiency account, should agree in amount and in detail with the statement of affairs and the realization and liquidation account. Commonly, accountants make reports which, though intelligible to persons familiar with bookkeeping, mean practically nothing to anyone else, for not only are the contra items meaningless, but the items which are common to various sheets are given titles which hide common relations, and the novice is unable to see the information that he wants either in any one of these accounts or in the relations between them. Below will be found a form, for the situation de- scribed above, which is clear and intelligible for all readers familiar with commercial terms and with simple figures. ^ Depreciation on assets, as shown by Kealization: Book value Eealization $91,000 46,000 $45,000 Liability for commercial endorsements Liability for accommodation 1 14,000 2,000 Total losses $61,000 Capital invested Profits accumulated , 30,000 7,000 Withdrawals of capital $37,000 3,000 Capital as per books Accrued expenses $34,000 950 Net nominal capital 33,050 Deficiency, or net insolvency $27,950 CHAPTER XVn AUDITING Under the general title of ^^ auditing" are usually included several kinds of work that ought to bear another name. Auditing strictly so-called shoiild include only thorough examinations of books to make sure that the final conclusions presented in the in- come sheet and the balance sheet are warranted by the original documents. Among special examina- tions which ought properly to be given some other name are examinations by professional auditors to gather for outsiders certain specific information about businesses in which they are interested. If a man is contemplating an investment in a business as a partner or a stockholder, for instance, he may em- ploy an auditor to learn whether the sales are as large as stated, whether the property is as valuable as stated, and whether the* business of the past warrants certain conclusions with regard to the future. Such a study of the books requires work similar, as far as it goes, to that of an ordinary audit, but it is com- monly called simply an ' ' examination. " Of a similar nature may be an examination for a person invited to lend money to a business, for he desires to know the probability not only of solvency, but also of earnings; he wishes assurance of the payment of his debt with- out legal procedure in bankruptcy. 397 398 ACCOUNTING AND AUDITING The two main purposes of an audit are to detect fraud and to detect errors. It has happened often that books have been seriously misleading not be- cause anybody intended to mislead, but merely be- cause ignorance led to erroneous accounting or book- keeping. If it is suspected that anyone concerned with the books has fraudulent intention, the exami- nation will proceed on somewhat different lines from that when only innocent error is feared; but the difference of method cannot be very extensive, for fraud has often been detected where there was no slightest suspicion before the audit. The method of an audit, then, should be based on the realization that many men perfectly honest are likely to make errors, and that many men apparently honest are likely to commit fraud. The examination should be so conducted that neither error nor fraud can escape detection, and in such fashion that one bent on com- mitting fraud cannot in the progress of the audit cover up his tracks so that by false entries on the books he transfers his error from work which the auditor has not yet examined to that which he has passed. As a matter of fact, there are very few errors committed with fraudulent intention which might not also chance to creep in by carelessness or ignorance. Many men are so loath to stand com- mitted of innocent error that they are likely by what they consider a perfectly innocent method to attempt to cover up their mistakes while an auditor is en- gaged in examining the books; and by making entries surreptitiously in work which the auditor has already passed they may upset a large part of the value of the work which he has already done. For an auditor AIJDITi:^G 399 to refuse to trust anyone, to insist on seeing every- thing absolutely correct, and to refuse to allow changes in work which he has passed, is only to pro- tect himself against waste of labor and is not to cast doubt or suspicion on the work of those regularly engaged on the books. The errors which auditing is to discover are of two sorts. The first are mere errors of bookkeeping which result in wrong figures. These are purely technical, of course, and their discovery and correc- tion are easy, for they do not involve judgment. The second class of errors, those which arise from neglect of some accounting principle, either through forget- fulness of some element in a problem or through bad judgment in the use of that element, are more or less difficult of detection; for the auditor very commonly is not thoroughly informed about the details of the business and cannot always see in his mind's eye all the elements of the problem before him. It is the auditor's function, however, to watch carefully to see that proper accounting principles are applied in all cases which come to his attention. The detection of fraud is much more difficult, for a person imdertaking to commit fraud is usually in a position — and, of course, has the intention — to cover up his tracks. Of frauds, again, two classes are to be observed. The first are the fraudulent entries made by subordinate employees in violation of orders given to them by their superiors. The commonest form of this kind of fraud, of course, is that which leads to the possibility of extracting cash. Actual theft of property other than cash is less common, and much harder to detect; but since it always re- 400 ACCOUNTING AND AUDITING quires, if carried on largely, assistance in disposing of the property, collusion is likely sooner or later to be detected. Fraud committed by members of a partnership against their colleagues or by officers of a corporation against the stockholders is often diffi- cult for an auditor to detect, for the person commit- ting the fraud is trusted by others, and he has infor- mation about the conduct of the business which is beyond the auditor's power to secure. In such cases an auditor's ability to discover fraud lies chiefly in his general knowledge of business conditions; for he can make comparisons between figures which he can get for this particular business and figures warranted by his general experience. When he finds any con- siderable discrepancy between general figures and the figures disclosed for this business, it is his duty to investigate. The extent of the work an auditor shall do must be determined for him in every case by the form of contract which engages him. In the ordinary course of his work he is likely to come across many transac- tions which it is impossible for him to pass judg- ment upon. In such a case he may well request a partner or an officer to sign a statement assuming re- sponsibility for that entry. In the auditor's final report he may well call attention to the fact that this item is one upon which it was impossible for him to pass judgment, and that it is vouched by a person in authority. The auditor is not performing his duty, however, if he falls back on such a statement signed by a partner or officer in any case which he is able to investigate for himself; for since the purpose of the audit is to certify the correctness of the books AUDITING 401 from an outside examination, in every case in which he accepts the statement of an officer as to correct- ness, he is by so much failing to perform the work which he was hired to perform; and, therefore, such statements should be used only in cases where it would naturally be the auditor's task to verify the item but from peculiar circumstances he is unable to do so. The first task in auditing is to learn what is re- quired by the documents to be on hand at the date of audit. If the books were known to be correct at the beginning of the period (because a previous audit has proved their correctness, or because the business was started at that time, or because those engaging the audit are willing to accept the books as correct at the beginning of the period), and the property now on hand is found by the auditor to agree with the property required by the records to be on hand, the audit is complete so far as its primary purpose — the discharge of responsibility — ^is concerned. It is obvious, however, that since the purpose of the audit is primarily to see that the property called for by the books is on hand at the end of the period, and since it is in most cases impossible for both parts of the examination — namely, the conclusions from the books and the counting of property — to be performed at one sitting, the auditor must take precautions that no changes shall be made in either the books or the property while the audit is in progress. The whole art of auditing with respect to property is so to con- duct the work that the conclusions from the books and the counting of property shall be brought to a culmination at the same moment, and that, there- A & A-26 4m ACCOTTNTING AKD AUBITINa fore, no doctoring of either shall be possible. The auditor must therefore know and preclude the possi- bilities of making changes in the books to represent what is not a fact, and of padding the assets so that they shall appear to be greater than they really are. He must conduct his work in such a way that no loopholes shall be left and that at all times the work which he has performed lies under his own hand and cannot be changed without discovery. An important medium for helping the auditor to make sure that the accounts have not been altered during the progress of the examination is a note- book in which memoranda of important figures may be made. Since it is important at some definite mo- ment to see that the property on hand agrees with that called for by the books, and yet one cannot usually go through all the books at one sitting, the only precaution against interference with the books lies in making a memorandum, on outside papers, of the total of the books, so that a comparison with the originals at any time in the later progress of the audit will show whether changes have been made. These working papers constitute virtually another set of books written up under the auditor's own di- rection, but containing only summaries of important details. The specific items to be entered in such working papers will be considered in connection with the separate steps of an audit. It is foolish for anyone to attempt to audit books until he has become familiar with the ordinary opera- tions of the business, with the books which are ordi- narily kept, and with the system of organization which determines who is responsible for all entries. AtJDITING 403 The first step, therefore, is for the auditor to look over the business carefully and see just what is done. The second is to leam just what books are kept and what each book is designed to do. The third is to leam who is responsible for the entries in all books. With this information at hand the auditor may plan the course of his audit and know all the time what materials he has at hand and what loopholes have been left for errors of carelessness or of fraud. It is worth while to spend a large amount of time in study- ing the situation before attempting any handling of the direct figures; for when one has become engaged in the handling of books and the checking of figures one is likely to be so much impressed with the imme- diate task in hand that one forgets the larger aspects and may fail to see a loophole in the general system. One should note not only what books are actually kept, but whether any book which is necessary to make a secure plan of accounting has been omitted, or whether any person is left in charge of two books which ought to be so thoroughly separated that one can be used as a check on the other. ^ Ordinarily the first step in the actual audit is to transcribe on one's working papers the summary of all transactions. The most serviceable form for this is usually, of course, the trial balance. This trial bal- ance should be copied item for item into the working papers, and if this is a first audit the trial balance at the beginning of the period audited should also be taken in order that without reference to the books themselves the auditor can see what should be the net changes for the period under examination. If this is a second or later audit by the same auditor, he 404 ACCOUNTING AND AUDITING should use as his initial trial balance the copy he took at the close of the last period audited. If the trial balance includes, as it usually does, some con- trolling accounts — that is, accounts representing, in the general ledger, groups of accounts in subordinate ledgers — the audit cannot be complete unless a list is made of all balances shown on the subordinate ledgers, for otherwise the auditor leaves open to the bookkeeper the opportunity to make changes in the subordinate ledgers during the course of the audit. If, on the other hand, the auditor has a complete trial balance with a separate list (which, of course, must agree with the balance of the corresponding con- trolling account in the general ledger) of individual accounts, he has the whole condition of the business as represented by the books in his own hands, and no changes made later can escape him if he uses due diligence. It is well to add to these figures, how- ever, the monthly totals of all books posted in lump sums — such as the cash book, the purchase book, and the sales book. The next step is for the auditor to examine the property on hand at the close of the period. In gen- eral, this property should be listed on the working papers, for in a large business anyone having charge of property may with fraudulent intention present some property twice unless the auditor is careful to list or mark for identification each bit as he passes it. A common method is to stamp or check by some pri- vate mark each evidence of property passing through the auditor's hands. If such property is also listed, there is little danger that any shall be counted twice. It is usually possible to copy the trial balance, to AUDITING 405 copy the balances of subordinate ledger accounts, and to count the property, at one sitting — though, of course, many clerks may be needed to put through all this in one day. When this cannot be done the audi- tor should keep within his control all matters on which the examination is not completed. Then as he has knowledge of the results of all transactions — in his summary of the books and of the property — he may begin in the ordinary course to examine spe- cific items and learn whether the details as shown by the books produce the summary of the situation as recorded in his own working papers. To that examination we will now proceed. It is well before we attempt to find means of pro- tection against fraud to note what are the commonest devices for covering fraud; for some sorts of fraud may be perpetrated through several different books, and after we have once grasped the principle we can follow through the checks in the various books with- out repeating our discussion of the fraud which they are intended to detect. Let us take, first, frauds attempted by subordinates against the orders of their superiors. As has already been suggested, most fraud is at- tempted in connection with cash. The most obvious scheme of this sort is to report cash receipts to be less than the actual amount received, and thus leave a sum to be appropriated by the cashier. Always, of course, the bookkeeper realizes the possibility that the payments of cash will later be discovered and that then the discrepancy will appear. His decep- tive task is so to make his entries that the pajTnent will be recorded as a credit to the person paying, but 406 ACCOUNTING AND AUDITING Hot the receipt as a debit to Cash. In the natural course of events, if f br a cash receipt the personal ac- count is credited and no debit of any kind is given, a discrepancy appears in the trial balance; but if the precaution is taken to reduce the credit balance (or increase the debit balance) of some other account on the subordinate ledger, so that the total balances shall still agree with the balance on the controlling account in the general ledger, no discrepancy will ap- pear unless the falsified account chances to receive careful examination. This device has been com- monly used by defaulting bookkeepers who knew which accounts were little likely to be questioned. In such a case, of course, the bookkeeper is careful in sending a statement to the customer falsely debited to include only the correct figure. By this device the books are kept in balance, the proper credit is given to the customer paying the bill, and, instead of a debit to Cash, the books show a false debit to another cus- tomer. If the bookkeeper can at his convenience shift this false debit so as to keep it constantly in a quiescent state, the trick may escape detection. Only the customer's verification of his balance as shown by the books of the firm will detect false en- tries if they are made skilfully. Sometimes al)Ook- keeper produces the desired credit to a customer's account, without debiting Cash, by treating the pay- ment as if it were an allowance for returned goods or for discounts; thwi he may appropriate the cash without throwing the books out of balance. If the bookkeeper is left a free hand in charging off cus- tomers' accounts to Bad Debts, moreover, it lies within his power at any time to put remittances into AUDITING 407 his own pocket and close a customer's account as if it had proved worthless — provided, as should never happen, he has not only the handling of the books but also the handling of remittances. All these devices show the correct balance for the remitting customer's account, and therefore are little likely to be detected through the customer himself. Another method of diverting cash to the pockets of the bookkeeper or cashier is to credit Cash for larger payments than are actually made. Unless the business is closely watched, this can be done by debit- ing creditors for the full face of bills even when dis- counts were taken or goods were returned. The difference between the net price paid and the gross price entered on the bills is set free for the cashier's pocket, and no discrepancy is shown in either the cash account or the account of the customer imless the details of the customer's account are passed upon. If the bookkeeper and cashier are left a free hand for the payment of interest, taxes, insiu'ance, etc., they may represent payments to be larger than the actual amount called for and divert the excess to their own pockets. It is possible, indeed, that, un- less the transactions are watched carefully, a creditor may be debited a second time for a bill paid once, and the second payment be diverted to the cashier's own use, — provided only some other account is falsely debited at the time of the entry to the credit of Cash. If a debit is made to another customer, the books will show no discrepancy between debits and credits, and the only precaution the bookkeeper needs to take in covering his tracks is that the false amount be trans- 408 ACCOUNTING AND AUDITING ferred to some other account before this account chances to be examined. Many bank defalcations have been continued for years because they were hidden in unquestioned balances in so-called inactive accounts. A device which has been used many times to cover defalcations is borrowing from the future through remittances received in the daily course of business. If, for instance, a cashier receives daily large sums of money, he may fail to enter those sums on the books for perhaps twenty-four hours, and may use part of them to cover a defalcation of the past; and he knows that he will have at his disposal among the remittances of tomorrow enough to cover the short- age of today. So long as the books are never quite written up to date, the cashier has at his disposal, if the business is so organized as to give him access both to money and to the books, a sum which has not up to that time been recorded. The detection of forgery is not here considered as properly within the auditor's function; but, of course, if he has reason to suspect crookedness, he should be on the lookout for anything which should lead to its discovery. We may now turn to errors of fraud committed by officers. Among the common devices to misrep- resent the condition of a business is the inclusion of bad debts and bad bills receivable as good. Some- times a manager fails to report the issue of notes which are still outstanding, even though these notes were issued for cash. The failure to credit Bills Pay- able in such a case is covered by a credit to some other account that in the nature of the case is not AUDITING 409 examined in detail in the ordinary course of business. It may happen that a considerable loss is hidden by a failure to record on the books the fact that notes received from customers have been discounted at banks, and that these notes have not been paid at maturity; for in that case the business is liable for their payment, and yet, if Bills Receivable, instead of Bills Discounted, was credited at the time the notes were discounted, nothing on the books will show that the business is liable unless a new entry has been made at the time of maturity debiting Pro- tested Notes and crediting the former holder of the notes. Through neglect of this entry liabilities may be represented as less than they really are. If the accounting is not careful, goods received just before the time of taking account of stock may be counted in the inventorv before thev have been entered on the books. In such a case the profits of the business and the net assets will be misrepre- sented; for merchandise will not have been debited, and yet the inventory will be treated as a quasi credit. With this preliminary survey of the frauds likely to be attempted, let us turn to the methods of ex- amination. A few general rules should be held con- stantly in mind. Alterations and corrections should receive careful scrutiny, for they may have arisen from an attempt to correct an error or to hide a fraud; and not always does a bookkeeper get the cor- rect result when he is trying honestly to correct an error. It is extremely easy in making corrections to commit a new error. Ambiguous figures — that is, fig- ures which are not perfectly clear to read — should be 410 ACCOUNTING AND AUDITING given careful attention, especially when carried to another book; for a figure which the bookkeeper meant for ^^7" may have been added or posted as a *^1" or a *^9." In checking figures, care must be taken to avoid confusion of dollars and cents. Even a person checking by the eye is usually influenced unconsciously by the imaginary sound of the figures, so that if he reads '^117.00," he may check ^^1.17"; or he may check 200.25 as 225.00. The word ^'dol- lars'' or *' point" should always be used; then the expression wiU be ''one hundred seventeen point" or "two hundred dollars twenty-five." This is espe- cially necessary when one person is calling off to an- other who does not see the original figures. The auditor must be sure that he understands exactly the purpose and use of every special column in every book, for if a column is designed for one use, and then fraudulently or carelessly put to another, it is the auditor's business to detect the misrepresenta- tion. Before we study in detail each of the separate books and separate kinds of entries, it is worth our while to examine the various auditing processes which must be used. In the following pages will be found a summary statement of the principal work to be performed in each book, and it will be a saving of time and space if in many cases we use terms which are more or less technical or even if we manu- facture terms to indicate processes which have no special name. Let us see what is the nature of each of the common processes and what terms we shall hereafter apply to them. ■ Wherever possible an entry should be compared AUDITING 411 with the original document which gave rise to it, — for instance, a credit for goods purchased should be compared with the original bill. Whenever in the following pages the word '^verify" is used in con- nection with any book, it will mean that the items there shown are to be compared with the original documents. All payments should be compared with the re- ceipts for payment. Such receipts, whether they are endorsements on returned checks or are formal re- ceipted bills, are called '^vouchers." A receipted bill is a better voucher than an endorsed check, for it shows not only how much money was paid but what it was paid for. Sometimes a check given for one payment is fraudulently offered, when endorsed and paid, as voucher for another. Sometimes no original document or voucher can be had, and then it will be necessary to consult origi- nal records which may be in auxiliary books; for in- stance, since the actual shipment of all goods is sup- posed to be entered on a shipping book, sales should be shown there. Freight and express receipts should be preserved to show that shipment was made; such receipts do not usually show more than the number and kind of packages, however. When- ever an entry is supported by the evidence of such an auxiliary book, it may be said to be '* confirmed.'' In order to make sure that some account was deb- ited for every credit, and vice versa, especially in connection with books posted in totals — such as the purchase book and the sales book, — the auditor should go over all footings. Whenever a book contains several columns so il2 ACCOUNTING AND AUDITING used that each of them is footed and posted on one side and the total of the various columns is posted on the other side, footing should be performed not only vertically for each column, but also horizontally so as to make sure that the grand total agrees with the sum posted. This is called ^* cross footing." Whenever a book has special columns for differ- ent accounts, like the special-column cash book, the auditor should examine the extensions to see that the amounts stand debited or credited to the proper ac- counts and in the proper columns. This is examin- ing the ** distribution." Of course, all items appearing in books of original entry must go ultimately to some ledger. It is not always necessary that postings to the subordinate ledgers shall be examined, for the controlling ac- counts in the general ledger show what should be the total debits and credits to the subordinate ledger, and if the total is found to agree the individual postings may be assumed correct, — at least if the tests to be described later are applied. All postings to the gen- eral ledger, however, should be examined. At the time of examination they should be ^* checked" — that is, actually marked both in the book of original entry and in the ledger. The check should be of a sort to distinguish it from checks made during the ordinary progress of bookkeeping. An auditor should never give a second posting check to any item, or pass it if once checked, under any circumstances; for, though the assumption may be that it was checked the first time by mistake, there is an equally good assumption that it was checked in error for some other item, and that, therefore, the other item will remain unchecked. AUDITING 413 If, therefore, in the course of checking, an item once checked is about to be checked again, note should be made of the fact so that when the books are gone through finally, to see whether any items are still unchecked, the cause of error can be discovered. When all posting is thought to have been exam- ined, error may still persist unless the auditor goes through all the books to see that no item remains in any book unchecked; for since checking is bound to be more or less wandering, from one book to another, some items may chance to be overlooked at first. It may sometimes happen that an item remains un- checked in the ledger or in some other book because of peculiar circumstances which do not appear at first glance. On the discovery of such an item the entry should be copied, on the auditor's working papers, with full information. If books are kept by double entry, an unchecked item is sure to throw the books out of balance unless it is offset by some other unchecked item on the other side. If such another is found and they cannot be explained so that their meaning is beyond question and is clearly legitimate, they should be reported. If, on the other hand, no mate to an unexplained posting can be found, the auditor should discover why it does not throw out the trial balance; if it is an obvious error he should have it corrected, and if it looks suspicious he should call attention to it in his final report. Sometimes an auditor may be unable to pass upon an item even though the bookkeeping is entirely regular, for sometimes a transaction is of so peculiar a nature that it is beyond his power to interpret and he is unable to get from any officer an explanation 414 ^ ACCOUISTTHSTG AND AUDITING which seems to him to justify him in passing it with- out further question. In such a case he should make a memorandum of the item in detail and report it to his clients. He may well call attention in his report, moreover, to explanations offered him, and give the name of the officers offering them and the date when they were offered. It is an auditor's business to make sure, after he has checked original entries into the ledger, that the balances standing on the ledger, and, therefore, re- ported on the trial balance and the balance sheet, cor- rectly represent the ledger figures. He must, there- fore, figure the ledger balances and compare them with the trial balance. This is '^verifying" balances and the trial balance. An auditor should always make sure that a con- trolling account in the general ledger agrees with the balance of accounts in the corresponding subordi- nate ledger, and he should learn this for himself by figuring the balances on all subordinate ledgers and making the comparison. It is obvious that a dishonest clerk could on the sales books extend debits to customers for less than the actual amount of the sales, and then, if he also had the handling of the cash, could divert to his own use the difference between the amount of payment when the bill was actually paid and the amount standing on the books. If no system of internal check is provided to preclude this, the auditor should see that extensions are properly made. It is not, however, his duty to compare prices entered on bills with ^-he actual selling price; for he has the right AUDITIIsrG 415 to assume that at least this much is done by someone in authority within the business itself. Sometimes it is necessary for an auditor to follow an item from an auxiliary book into a book of origi- nal entry so as to make sure that part of the property of the business has not disappeared without due debit to some personal account. This should be done for the shipping book, for instance. This is called ** tracing." Let us now turn to the specific books. It is cus- tomary to begin an examination with the cash book, for as this is the most general book it soonest gives the auditor a grasp of the business under examina- tion. The first step is to draw off a summary of the cash book by months for the period under review. For each month there should be taken the balance at the beginning, the total debits, the total credits, and the resulting balance at the close. Next, the auditor should do the same for the check book — or the com- bined result for all the check books if more than one is in use, — that is, the balance at the beginning, the deposits, the withdrawals, and the balance at the close. Finally, the same sort of thing should be done for the bank pass book, — that is, the opening balance, the deposits, the checks returned, and the closing balance. It is obvious that these three books will not neces- sarily agree, for very often checks will not be drawn for all payments, not all receipts will have been im- mediately deposited, and not all checks drawn will necessarily have been presented at the bank before the pass book is balanced. It is necessary, therefore. 416 ACCOUNTHsTG AND AUDITING that these three statements shall be reconciled — that is, that a statement shall be drawn up for each month showing what items appearing in any one of these books have not yet appeared on the others. It might seem at first as if the only thing necessary for the audit is to make a reconciliation for the end of the period under audit; for of course if things are cor- rect at the end of the time they are presumably cor- rect in the intervening months. This would be true if one could be absolutely sure that no fraud had been committed; but since a discrepancy in some months might be made up in later months, and some person having control of cash might have been using funds of the business for his own purposes in the interim, it is desirable to see for each month just what are the differences among these three books. In making this reconciliation it is necessary to examine the checks returned by the bank as paid; and since it is necessary also to use these same checks as vouchers for cash payments, it is well, so far as possible, to perform the two operations at once. It is likely to be worth while, therefore, to compare checks with the cash book entries before undertaking the final recon- ciliation between the check book, the pass book, and the cash book. We will proceed, therefore, to com- pare checks with the cash book credit entries. As has already been suggested, it is desirable that all payments of cash which are to be entered on the primary cash book shall be made through the me- dium of checks; if any payments and receipts are made in currency, they may be entered preferably on the petty cash book. If that is done, the checks re- turned by the bank as paid should agree exactly, ex- AUDITING 417 cept so far as any checks are outstanding, with the cash book credit items. This makes comparatively simple the task of reconciliation. When currency as well as checks is entered on the cash book, two kinds of cash must be considered in making the reconciliations. It is desirable in that case to tick in the cash book all payments by check when they are found to agree with checks returned by the bank. This is not a laborious task if the auditor takes the returned checks in consecutive order and compares them with the cash book credits, checking the cash book as he goes along. The order is necessarily the same for both checks and entries, of course. It is not enough, however, for the auditor to see that the amounts of checks agree with cash book credits; he must also note whether the payees of the checks and the endorsers are the same as the persons indicated in the cash book entries as the proper recipients of the money; for one method of fraud is to debit a check on the books to the proper account, but to make out the check to the wrong payee — for the benefit of the defaulting employee. Such an operation would not be disclosed by any error in the books except as the balances of the accounts concerned might chance to be investigated. If the cash book is kept so that discounts are entered contra — that is, on the oppo- site side, — the auditor should look to see that the amount of discount is entered on the receipts side of the cash book so as to produce a net credit to cash of only the amount actually paid as shown by the returned check. So far om* examination of the cash book has been for the purpose of learning whether the checks re- A & A-27 418 ^lCCOUISTTING AND AUDITING turned show that the cash book entries faithfully record actual payments. We may postpone until later the examination of the justification for those actual payments. When all payments by check have been in this fashion examined, and the checks themselves stand as accepted vouchers, the task of direct reconciliation with the check book and the pass book may begin. One source of difference is the fact that the cash book may contain currency payments which are not, of course, on the check book or the pass book. Again, checks which have not yet been presented at the bank for payment will appear on the cash book and the check book but not on the pass book. Finally, checks drawn in the previous month, but not during that month presented for payment at the bank, but pre- sented during the current month, will be on the pass book but not, of course, among this month's items of the cash book and the check book. The reconcili- ation among these books may be provided by arrang- ing a table with a column for each book and a hori- zontal line for each separate item on any book. Then the first column mav be for the cash book, the second for the check book, and the third for the pass book. If the first line is meant to contain payments, in the cash-book column will be the total credits; in the check-book column, the checks drawn; and, in the pass-book column, the checks charged against the business by the bank. These are likely, for the rea- sons already given, to fail of agreement. If, now, we add in red ink in the column for each book the items omitted from that book but contained in the other books, the totals of the three colmnns should agree. AUDITING 419 Thus, currency paid is included in the cash book credits, but since it is not on the. check book and the pass book it is inserted in those columns in red ink. This month's checks not yet paid by the bank are on the cash book and the check book, but are not on the pass book, and, therefore, should be extended in red ink in the pass-book column. Checks entered in the cash book and the check book last month but only this month charged by the bank on the pass book will be entered in the cash-book column and the check-book column, because this amount is necessary to put the other books on a basis with the pass book. An illustration of such a reconciliation is given below. Disbursements Currency items Cheeks outstanding Checks of previous months Cash Book $27,201.25 Check Book $27,154.37 46.88 Pass Book $27,004.37 46.88 1,117.50 967.50 967.50 $28,168.75 $28,168.75 $28,168.75 As this reconciliation is prepared for each month the auditor should make a list of all differences ap- pearing in that month, — that is, for example, list all checks entered in the check book not in that month returned by the bank. When these items appear later, they may be checked on that list, and thus he will know whether/ all discrepancies are accounted for; any not accounted for by the reconciliations need further examination. It is difficult to exaggerate the value of such lists. It seems to the novice as if time spent in making lists of things which ultimately are to be cancelled is to great extent a waste. This would be true if one could always know that the 420 ACCOUNTING AND AUDITING items would be later cancelled; but since the purpose of an audit is to make sure that everything is prop- erly provided for, any time spent in making such lists is nothing less than an ultimate saving. Such lists, moreover, should be given a very clear title; a list of which the purpose is not clear is sometimes worse than no list at all, for sometimes to find out just what it is designed to do takes longer than constructing a new list. Many a bookkeeper has spent fruitless hours in hunting for memoranda which were not properly labeled, or in trying to find the exact use of memoranda at hand. When this reconciliation of cash book, check book, and pass book has been completed for disbursements, and a list made of all unexplained discrepancies, the auditor should turn his attention to the receipts side of cash. He should see that all receipts have been accounted for, month by month. A reconciliation is necessary. The differences among the three books are likely to be mainly items on the cash book which have not yet been deposited (particularly receipts of the last day of the month after the customary hour for making deposits), and, if the custom does not prevail in that business of making all payments through the bank, a working balance of cash in the cash drawer. The check book should contain few deposits that are not in the cash book for that month ; but the pass book may contain interest on deposits, if any is allowed by the bank, and this will be in excess of amounts shown in the cash book and the check book for that month. A reconciliation form is shown below. AUDITING . 421 Cash Book Check Book Pass Book Eeceipts $23,210.27 $23,318.43 $23,328.73 Receipts not deposited 109.10 109.10 Deposit of previous month's receipts 217.26 Interest on bank balances 10.30 10.30 $23,437.83 $23,437.83 $23,437.83 The auditor should watch deposits with extreme care. He should recommend that whenever a de- posit is made a duplicate deposit slip shall be re- turned by the bank with some sort of receipt; then one may know not only how much has been deposited each day, but the amount of each separate check. Many defaulters have covered their tracks for long periods of time by borrowing from the future, as has already been indicated; they borrow today's remit- tances, before they have been entered on the books, to cover yesterday's shortage; but though they have provided that the deposits for each day correspond in total with the amounts naturally to be deposited, as shown by the cash book, they are seldom able to borrow checks of just the same detailed amounts, and examination of their detailed deposit slips would have disclosed discrepancies. For this reason it is well to have certified duplicate deposit slips. The auditor ought, moreover, to make sure that the pass book presented to him is genuine, for defaulters have sometimes covered their tracks by presenting for examination a pass book written up by themselves and not corresponding with the pass book provided by the bank. The auditor should demand either that the pass book shall be certified by the bank or that he himself shall receive the book in person from the bank. 422 ACCOUNTING AN1> AUDITING Since an audit cannot usually be completed within two or three days, the auditor can often secure, from the bank, checks reported on his reconciliation as outstanding at the time of beginning the audit. These should be audited, for on the books they reduce the required cash balance; and unless the auditor can audit them he has no assurance that cash was actu- ally paid as indicated. It has happened in the past that defalcations have been hidden by a combination of fraudulent entries of which a part were on the stubs of check books, making things look as if checks had been drawn and were outstanding at the time of audit. If an entry is made on the cash book as if a payment were made, and then on the check book the bank balance is reduced (by a fictitious stub), the auditor expects to find the cash balance by the books smaller than the amount shown by the pass book. If then the bank balance is padded by a fictitious pass book, or by deposits borrowed from the future, cash book, check book, and pass book agree. This does not enable the cashier to extract cash, of course ; but it does cover up shortages in cash previously taken ; for it reduces the cash balance, and appears to explain why no vouchers, in the form of checks returned by the bank, are at hand for that reduction. It substi- tutes an imaginary loss of cash for a real one. Only a certification of the pass book, or the later auditing of outstanding checks, or certified duplicate deposit slips, can sufiiciently safeguard a business against this sort of thing. So far our examination of the cash book has been for the purpose of learning whether the actual cash bandied has been accounted for. We may now ex- AUDITING 423 amine the methods of learning whether the right amounts of cash have been handled. Cash disburse- ments on notes, bonds, mortgages, interest, etc., should be compared with the original records so that one can be sure that the amounts entered are proper, and the vouchers should be examined. Payments for the purchase of stocks and bonds should be compared carefully with the broker's memorandum of pur- chase, for since the price of securities is fluctuating hour by hour the possibility of fraud in that connec- tion is very great, and only when the amount has been vouched by some responsible person can it be passed by the auditor. Payments for the purchase of real estate should be compared with the deeds; the memorandum of record by the proper recording official should be examined, — especially to see that the date is as it should be; and the auditor should see that the title to the deed stands in the name of the business or of some person authorized to hold for the .business. For all payments which require the vote of the directors of a corporation, the auditor should examine the minutes of the directors' meetings to see that proper authorization was given. Among such payments are those of dividends, and the auditor should see that the amount of dividends is the proper percentage on the capital stock. He should examine the dividend books and dividend checks to see that the proper amounts were paid to each stockholder; for otherwise it might be possible for a dishonest em- ployee to reduce the dividend check of some person not likely to keep informed as to the amount of divi- dends and deflect the deficiency to someone who would share the gain with him. Payments of salaries 424 ACCOUNTING AND AUDITING determined by vote of directors should be compared with the minutes of such vote. Payments of wages should be compared with the pay roll, and the auditor should see that the pay roll has been properly ap- proved by an officer in authority; and he should for test purposes compare two or three pay rolls in each year's work with the time books and thus ascertain that there has been no padding or carelessness in determining the amount for each employee. Of course all entries of payments for merchandise, sup- plies, etc., should be compared with the original re- ceipted bills or other vouchers. It has already been suggested that one method of deflecting cash to wrong usage is to debit a creditor for the full face of a bill even though a sum smaller (because of discount or returned goods) should have been paid. It is the auditor's business, therefore, whenever payments have been made on items which may have been sub- ject to discount, to learn whether discounts were available on those payments, and to see whether, if the full charge, was made, the creditor has been deb- ited too much and someone has appropriated the excess. When the auditor cannot find vouchers he should ask someone in authority to give him a signed statement as to the legitimacy of payments. This would apply, of com'se, to petty cash items, as well as to general items. The auditor should make a List of all items which he cannot properly vouch, and on that list he should indicate what sort of voucher, if any, is available, and in what sense it is not adequate. This list he should submit to his clients. It is seldom possible to get adequate vouchers for cash receipts. Usually the only thing that can be AUDITING 425 done is to compare the receiptB entered on the cash book with entries in the other books and judge in that way whether the amount is proper. Since much information of this sort is got usually from the ledger, and since all postings ought sooner or later to be checked, it is well to combine the two processes and check into the ledger as one goes along. For pa^onents by customers, for example, it is well for the auditor to look up the customers' accounts in the ledger and see whether the amount is correct; and while he is engaged in that task he may well check the posting of the receipt. This saves the turning of pages when finally the checking of all postings is to be completed. In this work of checking receipts from customers, the auditor should note carefully whether discounts entered on the cash book, as allowed on bills collected, agree with the terms of sale ; for it is comparatively easy for a cashier having access to the books to give a customer credit for a discount when none was allowed and deflect to his own pocket the extra amount of cash actually paid by the customer over the net amount of the bill. When the full amount of bills is entered on one side of the cash book, and discount on the other, the audi- tor should note whether deposits cover the fuU amount reported as actually paid. If he finds de- ductions from bills because of returned sales, he should confirm such returns by the receiving book. He should also verify all receipts from interest, rents, mortgage payments, etc., and see that Cash was deb- ited for the full amount called for by the debt. He should see also that receipts from cash sales, as en- tered on the cash book, agree with the amount shown 426 ACCOUNTING AND AUDITING on the sales book. Wlien notes have been sold and have not been entered on the cash book, the bill book should disclose their existence. If such notes have been omitted from that book also, but have been dis- counted with the bank where deposits are kept, the proceeds will show on the pass book, and the dis- crepancy in the reconciliation will disclose the issue. Otherwise no way can be found of surely detecting such omissions from the books. When any notes have been discounted, the auditor should see that the net amount of cash reported is the full actual pro- ceeds and not a smaller sum which leaves a margin for embezzlement. The auditor should examine the extension of all cash items into special columns and make sure that none are included in wrong totals. When all items on the cash book have been passed, the footings of the book should be figured, the balance determined, and the posting checked into the general ledger (or, if cash is not posted, the cash item on the trial bal- ance checked). When counting cash it is desirable to make a memorandum of the specific items counted — so that none may be presented a second time. This list should include the amount of each denomination of cash, any so-called ^^cash items" (with full memoran- dum for later identification), and all checks awaiting deposit. **Cash items," which are mere memoranda of temporary loan, cash in transit, etc., should not be passed unless they have been vouched by some person in authority. The auditor naturally proceeds next to the jour- nal. Since journal items are likely to be few in AUDITING 437 number and scattered through the general ledger, a considerable waste of labor in turning pages is likely to be avoided if the postings are checked in a some- what peculiar order. It is usually wise after the first journal entry is checked in the ledger to note, while the ledger is open at that account, what other journal entries are posted to that account, and then check these in the journal before checking the second jour- nal entry. The method, therefore, is to check the first journal entry from the journal to the ledger; to check all other postings of that account in the ledger back into the journal; to check the second journal posting into the ledger; to check back into the jour- nal all other postings from the journal to that ledger account; and so on until all ledger items have been checked. The finding of journal entries for ledger accounts is usually much less work than the finding of ledger accounts from journal entries; for, whereas the ledger may cover many hundred pages, and checking to it may involve much turning of leaves, the journal is likely to cover a comparatively small number and so items can be easily found. In audit- ing journal items the same precautions should be fol- lowed as in auditing items appearing on the cash book. In addition, however, certain items are likely to require certification by officers in authority. Charges to Bad Debts, for instance, should be au- thorized; else, as we have seen, they may be substi- tuted for Cash. Many journal items are likely to be transfers and to involve adjustments. For these no adequate vouchers can usually be found; and, there- fore, it is wise for the auditor to request that all jour- nal entries be signed by the person having the proper 428 ACCOUNTING AND AUDITING authority, or that such person give him a certificate that the signer accepts responsibility for the correct- ness of the entry. If the person who should authorize the entry is not sure that it is correct, he should ask the auditor's judgment on the matter, and then he may, if he desires, indicate on his certificate that the entry was made on the advice of the auditor; but in any case the auditor should demand that some person in authority be responsible for truthful representa- tion of the circumstances which gave rise to the entry. The auditor will do well to make a copy of all items relating to bonds, stocks, capital, and closing entries for the determination and disposition of profits; for as these are matters which should enter into the report made to his client, he may well have copies in his working papers and not be forced to rely on the original books. The auditor should ob- serve' that the total debits, as shown by the journal, equal the total credits. If there are special columns in the journal, he should go over all the footings; and he must by checking, of course, see that all items are properly posted. The order to be followed in auditing the other books is not of much consequence. We may well take them here chronologically. The first is the order book to indicate what orders have been issued for the purchase of supplies and merchandise. If this book is properly kept, no pur- chases are authorized unless they first appear here. The auditor will use it, therefore, for confirming purchases. If a receiving book is kept, the auditor should compare the record of goods received with the pur- AUDITING 429 chase book and make sure that all receipts have been properly debited to Supplies or Merchandise and credited to the shippers. The purchase book should be examined to see whether any items appear there which have not already been checked as confirmed by the order book and the receiving book, whether items have been properly distributed to various departments (if pur- chases are debited to more than one account), whether the footings have been properly taken, whether (if there are several purchase accounts) the cross-footing of totals agrees with the total of all purchases, and whether postings have been properly made to the general ledger. It is not always neces- sary for the auditor to check purchases into the pur- chase ledger; for if all purchases have been properly credited to Creditors, and the balance of creditors' accounts in the purchase ledger agrees with Credit- ors in the general ledger, it is presumable that these accounts are correct in detail. The chief possibility of error is that some item will get upon a wrong ac- count. This may be provided against by communi- cation with creditors, as will be shown later. If a separate book is kept for returned purchases, this should be examined very much as the purchase book is examined, by the method above described. Such returned purchases should be entered in a ship- ments book. This will furnish the confirmation for the debits to creditors' accounts; and the total of such returned purchases should be, of course, debited to Creditors in the general ledger. These may well be checked into the creditors' ledger as a protection against overstatement of cash payments — unless this 430 ACCOUNTING AND AUDITING has already been provided against by the method suggested for auditing cash disbursements (page 424). A thorough examination of the stock book, if any such is kept, is likely to be a considerable task, but it should not be shirked if a complete audit is de- sired. It is impossible, of course, for the auditor to go behind the inventory for the beginning of the period under audit, but he should require that this inventory be presented to him and that it bear the signature of someone in authority who accepts it as of the beginning of the period. If the receiving book shows, as it should, all receipts since that inventory, and the shipping book shows all shipments since that inventory, the auditor has in his own hands the means of determining the present inventory. If, on the other hand, the books cannot be kept on this care- ful plan — ^because, for instance, goods come in and out without passage through the receiving and ship- ping rooms, — the auditor cannot learn the gradual changes in the stock on ,hand and must fall back on an inventory at the end of the period. For this, however, he should demand the signature of some- one in authority. He should test the prices by recent invoices. In many lines of business in which it is customary to fix prices at a certain percentage of cost, one can from the sales alone approximate the cost of the goods sold. By combining the inventory at the start, the purchases, and the presumable cost of the goods sold, one can get the present inventory. This, of course, can be nothing more than an ap- proximation ; but it may serve as a check on radically erroneous statements of present stock. AUDITING • 431 Where possible, the sales book should be com- pared with the shipping book so as to show whether all the goods shipped were charged to customers. The auditor should verify the extensions of price and thus make sure that no error was made in charg- ing a customer less than the proper amount; he should verify the footings of the sales book, and should check the postings to the general ledger — both for the debit to Customers and for the credit to Merchandise. It is not always necessary to check the postings to the sales ledger, for the examination of customers' accounts, to be considered later, may obviate this. If a book is kept for goods shipped on approval, this should be examined carefully to see whether it contains all items marked on the shipments book as for this purpose, and whether all items show^n by it to have been retained have been properly debited on the sales book. Goods returned, as shown by this approvals book, should be traced ii^to the receiving book. If any items of long standing on this book have been neither returned, as shown by the receiv- ing book, nor debited on the sales book, an investiga- tion should be made. All such items should be listed. If a separate book is kept for C. O. D. items, the amounts should be traced into the sales book to see that all items have been accounted for. Let us now turn to the ledgers. For the general ledger it is necessary to go over all postings to make sure that all items have been checked as agreeing with some book of original entry. If any remain imchecked, they should be listed for future refer- ence. Memorandum should be made of any ap- 482 ACCOUNTING AND AUDITING parent irregularities. The balance of each account should be figured, and the result should be checked to the trial balance. If controlling accounts have been accurately kept to represent dealings with creditors and customers, the balance of each particular account of a creditor or a customer is not of primary importance for an auditor; for any discrepancies must lie in an over- statement of one account offset by an understate- ment of another. Since, however, there is oppor- tunity for embezzlement through omission of receipts from both the controlling account and the subordi- nate ledger accounts, it is the auditor's business to get confirmation for the books through the subordi- nate-ledger balances. It is desirable to have from all persons with whom the business has relations an occasional confirmation of their accounts. It is well, therefore, for the auditor to send to all creditors and to all customers at the time of beginning an audit a statement showing the balance on their accounts as the books then stand, and to ask for a return of the statement endorsed as correct. Though usually not all such statements will be return^ed, if this work is done at annual audits each account is likely to be confirmed at least once in two or three years, and the possibility of this is a good check on clerks with dishonest tendencies. It should be understood, of course, that an auditor has no right to send out re- quests for confirmation without the consent of his client. The task of making statements for confirma- tion is not so great as might at first sight appear, for the regular monthly statements may be utilized for this purpose. If the auditor accepts the statements AUDITING 433 f prepared by the bookkeeper, compares them with the books, puts upon them a private mark which cannot be duplicated by the bookkeepers, and then requests that this particular statement — and not another which may be substituted for it — be returned to the auditor's own address, the check is complete. For the auditor's private mark he may provide a rubber stamp with some characteristic that is not easily ob- served by the uninitiated — such, for instance, as slight flaws or irregularities (cut in the letters) which could hardly be detected by anyone not in the secret. If this test by calling for confirmation is not feasible to apply, the auditor should check all post- ings of the purchase ledger and sales ledger from the books of original entry. A bookkeeper knowing that this will be done is little likely to substitute a debit to a customer for a debit to cash. We now assume that the books have been care- fully examined to learn that all expenditures have been properly vouched for, that all receipts have been properly credited, that all postings have been made to the ledger, and that all balances have been properly figured. If during the process of the audit all items have been checked when verified, ex- amined, or posted, no item should remain either in a book of original entry or in the ledger without the auditor's private check mark or a memorandum call- ing attention to its irregularity. When this work is supposed to be complete, all the books should be ex- amined finally for assurance that each item does actu- ally bear its proper check marks. Several kinds of check marks should be used, for otherwise a check A & A-28 434 ACCOUNTING AND AUDITING given for one purpose may be interpreted as for an- other. Cash book items, for instance, are likely to need three kinds of marks — one for bank verification, one for vouching, and one for posting. If the auditor finds in the coin-se of his work that some errors of accounting have been made, he should merely make memoranda of the necessary adjust- ments and postpone the correcting entries until his examination is complete; for he may later find coun- tervailing facts which alter his first conclusions. Mere bookkeeping errors he should correct as he goes along, however, — ^though not without authority. If when the examination of the books is supposed to be complete a new trial balance is taken directly from the books and the totals of all books posted in lump sum are copied into the working papers, the present figures should agree with the figures origi- nally taken off at the beginning of the audit (allow- ing for the adjustments made during the course of the audit or at its close). If a discrepancy persists between the original figures and the final working figures (after allowing for the adjustments), ob- viously someone has been tampering with the books during the course of the audit, and the figures which show a discrepancy should be examined so that the auditor may learn who has been making unauthor- ized changes. We are now supposing the audit to have pro- gressed so far as to vouch for the correctness of the bookkeeping. The auditor's next task is to pass judgment upon matters of accounting which have not already arisen in connection with the examina- tion of the bookkeeping. Let us take first the con- AUDITING ^ 435 siderations involved in passing upon a balance sheet. We may as well take these in alphabetical order. The auditor should see that accounts payable re- ported are for legitimate debts, and that no invoices which have been once paid are included; invoices should bear dates that are properly related to the present time. He should see that accounts receivable reported are in conformity with the original charges, and that included among them are not debts so long overdue that presumably no collection can be made on them. Allowance must be made for discounts offered and for probable bad debts. If bonds are outstanding and any trustee has been appointed as a registrar, the auditor should secure from the trustee a certificate to the effect that only as many bonds are outstanding as are reported on the balance sheet. If any bonds owned are reported as deposited for collateral, the auditor should pro- cure from the holders a certificate showing just what is so held. The auditor should make sure that all bills receiv- able presented to him as good assets are genuine, and that the}^ are presumably good. In order to make his work complete he should seek from the makers and endorsers of such notes confirmation as to their amount and genuineness. Unsecured notes long overdue should not be considered as good assets, but should be charged back to those from whom the business took them — and possibly the resulting book accounts should be closed out to Bad Debts. If any notes have been discounted or turned over to banks for collection, and are , therefore not in the posses- 436 ACCOUNTING AND AUDITING sion of the business, the auditor should get from the banks holding such notes certification of their amount, makers, and dates. Since the auditor cannot ordinarily know how good are the book debts and the notes of any busi- ness, he ma}^ well demand from someone in authority a written statement as to their probable value. If any reserve has been set aside for doubtful debts, he may base on that statement his judgment concerning the adequacy of that reserve. If any trust company or other outside agency is registrar for capital stock issued, the auditor should require from such agent a certificate as to the amount of stock outstanding, and should see that it is re- ported on the balance sheet at that figure. If any claims are reported among the assets, he should see that allow^ance has been made for any which are disputed, and that only those presumably collectible are counted. If any securities are shown to him as collateral for debts held by the business, the auditor should by communication with the owners of the securities learn whether they are correctly reported as pledged for the debt concerned. If the business maintains branches, the auditor must watch caref uUj^ to see that the accounts are not so mixed as to count assets twice and liabilities not at aU. If, for instance, the branch buys goods of the main house and gives its notes in payment, fraudu- lent accounting might report the merchandise as an asset for each house, the Bills Receivable as an asset of the main house, but .the Bills Payable not at all. For each of these, good ground can be found ; but no AUDITING 437 ground can be found for all of tliem at once. The merchandise is an asset for either house, but not for both; the Bills Receivable is an asset for the main house, but then the Bills Payable is a liability of the branch ; the Bills Payable may be neglected as a lia- bility, for it is purely internal, but then the Bills Receivable must not be counted as an asset. In other words, the two sets of books must be absolutely dis- tinct or absolutely consolidated. The auditor should examine the minutes of a cor- poration to learn whether any liabilities incurred have been omitted from the balance sheet. If the corporation is new, moreover, he should inspect all prospectuses and other promises made to persons in- vited to subscribe to stock, and should observe whether any promises have failed of fulfillment. The auditor should make sure that all dividends declared and matured have been paid, or that the amount unpaid remains as a liability shown on the balance sheet. If, as is commonly done, a corpora- tion makes a special bank deposit to cover the pay- ment of dividends, the unexpended balance of that account represents the unpaid dividends; and, there- fore, the dividends do not need to appear as liabili- ties if that bank balance is not included among the assets; but if the bank balance is so included in cash, the dividends must appear as a liability. The same thing is true for unpaid interest on bonds outstand- ing. For coupon bonds, the unredeemed matured coupons measure the liability. The auditor should demand of a person in au- thority a certificate that the assets shown on the books as plant, machinery, and other things not sus- 458 ACCOUNTING AND AUDITING ceptible of adequate valuations at sight by tlie audi- tor, are actually in possession of the company and unimpaired — or that the amount of depreciation allowed, either in a fund or as a liability, is adequate to cover shrinkage. He will do well to learn from the records of deeds whether any mortgages have been issued. In case a corporation has issued income bonds of a cumulative sort (that is, bonds which, though they 3deld interest only if the interest is earned in the years covered, yet demand the payment of interest in later years to offset the failure of interest in the lean years) or cumulative preferred stock (which requires that dividends not paid in one year shall be made up out of later earnings before common stock shall pay dividends), the report of the corporation should show any such arrears. These arrears are not direct liabilities, however, for they are not claims against the company until earnings have been made; in other words, they are not claims against the company in any way to affect its solvency; and since the purpose of a balance sheet is primarily to show solvency, they do not need to appear among the liabilities. They may well be given in a footnote or in an appended statement, however, for they do affect the investment value of the stocks and bonds. The auditor should examine the income sheet and see that the charges bear correct relation to the parts of the business which cause them. Depreciation charged on the income sheet should agree in amount with the depreciation deducted from assets. Inter- est on the income sheet should bear the correct rela- tion to investments and to interest-bearing debts AUDITING 439 outstanding. Allowance for bad debts deducted from gross earnings should agree with the changes shown on the balance sheet. Accrued items on the balance sheet should be included in the totals of income-sheet earnings and expenses. The income sheet final bal- ances should be included in balance-sheet balances. The income sheet and the balance sheet must be con- sistent, for they are different statements for the same final result — as we saw on a sixycolumn statement. Let us now turn to the auditor's report. He should state in the first place what work he has actu- ally done, that is, what sort of audit he has con- ducted, and if he has been requested by anyone in authority to omit any work ordinarily done, or has been excused from such work, he should note in his report that omission. He should never in his conclu- sions state what are to him mere opinions. His task is to learn the facts about the books and about the business, and to state whether the books show the facts as they appear to him to be. He may state his opinion with regard to allowances for depreciation, bad debts, etc., but those are opinions only in the sense that they are matters of judgment; but he should not state an opinion as to the management of the business or the honesty of those conducting it until that opinion has become practically a certainty based upon proof which he can present. If he re- ports all material facts, including a statement of all irregularities, as has been suggested, his clients are likely to be in a better position than he to form mere opinions. Clients usually welcome suggestions for improved methods, however. In other words, the 440 ACCOUNTING AND AUDITING auditor's work should be constructive rather than destructive. The auditor's report is supposed, usually, to show the condition of the business both at the beginning and at the end of the period under examination. He should therefore show a balance gheet for the two periods, or a combined balance sheet showing the fig- ures for the beginning and the end, with the increases or decreases. He should show also a summary of important balance-sheet changes arranged somewhat after the fashion of the table given on page 341. He should show not only the income sheet, but a clear statement of the disposition of the income — to divi- dends, surplus, and other reserves. Matters which are largely determined by judgment should be pre- sented in the report in such form that others having slightly different bases of judgment may be enabled to draw their own conclusions. The auditor should therefore append to his report a list of bad debts charged off, of bills receivable, of accounts receiv- able, and a statement of the amount of inventory and the basis on which it was verified. He should add a statement of bills payable and, if it is likely to prove of any value to readers of the report, of the accounts payable. He may well add a list of securities owned, of delinquent debtors, and, if his audit is primarily for the purpose of detecting dishonesty, a list of out- standing checks. He should in all cases append a list of missing checks and of missing vouchers. Let us turn now to the matter of examinations for creditors or possible investors. If a client who requests an examination is willing to pay for a com- plete audit, and the persons whose business is under .AUDITIN'G 441 examination do not object, this is usually desirable. If, however, this is not feasible, much work neces- sary for a complete audit may be omitted in this ex- amination. The purpose of an examination is to learn whether the assets are real and whether the profits are as represented. The examination need ordinarily go no farther than to ascertain these facts. The auditor is not expected to vouch for the honesty of employees or officers. The auditor will naturally begin by making a copy of the trial balance for the beginning and for the end of the period under examination. A com- parison of these will furnish a summary of the busi- ness. It may be worth while to make a complete copy of each property account, for then he will know what expenditures have been made on its behalf, and what receipts have accrued from it. The next step is for the auditor to make sure that the trial balance faith- fully represents the ledger. He should go through the ledger carefully, take footings and balances, and see that the trial balance figures correspond. The next task is for the auditor to examine the reality of the assets, and this should be done in the main as it is done for a complete audit. He should note, moreover, that the future has not been antici- pated — for instance, by the premature cutting of coupons on bonds. Some assets, however, do not need in this case examination quite so cai'eful as is required where the piu*pose of the audit is to learn whether fraud has been committed by employees. If the proprietor is willing to certify to a list of ac- counts receivable as legitimate debts due to the busi- ness, it is hardly necessary for the auditor to conduct 442 ACCOUNTING AND AUDITING an audit of the customers' ledger — unless, indeed, he thinks that the proprietor may be committing an innocent error due to the fraud of his own employees. In that case, the auditor will do well to investigate the accounts as suggested for a complete audit. It must be understood, however, that a man certifying to assets of his business, though he is liable both civilly and criminally for any intentional fraud, is not liable for errors due to lack of judgment. The auditor must therefore use such means as he has at his disposal for learning how much the book accounts are actually worth for collection purposes. He should go through them and report how many are overdue, how many are collectible from customers who in the past have proved not thoroughly reliable, and how many ought to be written off as bad debts. The auditor should make a list of all assets after he has examined them as indicated for a complete audit, and should furnish a copy of that list to his cUent; for if the client is going to purchase an in- terest in the business, he should have in his posses- sion information showing exactly what he has pur- chased. If this is not done, the auditor has not fore- stalled the possibility of a substitution of assets which (though it may be innocent and the proprietor may consider the assets substituted quite as good as those originally examined) may cause heavy loss to the client. This list should include security or col- lateral for all debts due to the business, insurance premiums prepaid, accrued interest and declared dividends, and certified inventories of merchandise. The auditor should make a detailed list of Liabili- ties; for otherwise liabilities may be foisted upon the AUDITING 443 purchaser. These liabilities should be learned by the methods previously indicated. The auditor should read through the cash book and the journal, even when he does not need to vouch them or check them with the ledger; for they may throw valuable light on the valuation of assets, the sources of profit, the causes of loss, and the methods previously in vogue for determining profit and loss. He should make note of all entries which cast doubt on the correctness of trial-balance figures. He should be on the watch for the ^^ salting" of assets and sales. He should realize that the purpose of the seller of a business, however honest he may be in intent, is to get as much for his business as he thinks it is worth and that an optimistic tempera- ment is likely to see more value and profit than does a skeptical purchaser. The auditor must make sure, then, that the sales reported are actually sales. He should add the columns of the sales books and see that the proper amounts have gone to the ledger. He should add the columns of the purchase books and see that those are properly posted. He should do the same for returned sales and returned pur- chases. He may then wisely make tables showing the monthly totals of sales, purchases, returned sales, and returned purchases, for recent years, and thus learn whether any suspicious fluctuations have oc- curred, — Shaving regard, of course, to the di:fferent activity of di]fferent seasons. A sudden and recent increase of sales suggests sales to persons of doubt- ful credit, or even fictitious sales — that is, sales to confederates v> ith an understanding that goods may be returned later. A sudden and recent decline in 444 ACCOUNTING AND AUDITING purchases suggests an exhaustion of stock or a post- ponement of entry for debts actually incurred. Spe- cial care should be taken to see that all goods inven- toried have been entered as purchases. Sudden and recent increases in cash balances deserve investiga- tion — ^lest they have arisen from liabilities not recorded. The auditor should note any outside relations that the business has with members of the firm, with directors, and with their relatives and friends; for sometimes such relations are unprofitable, and some- times, if profitable, they may cease when the business changes ownership. Sometimes certain statistical information is of great value to a client in enabling him to judge whether a business is doing what it should. A table showing for a series of years the percentage of sales to capital (commonly called the ^* turnover"), of ex- penses to sales, of working capital to sales, of losses by bad debts to sales, will give an indication not only of the absolute standing of the business, but of its tendency. The auditor should note whether all expenses have been actually charged — ^not only depreciation, but proprietors' salaries and interest on proprietors' capital. The work of an auditor, in other words, comprises the practical application of all the principles which have been discussed in various connections in this book. An auditor must see not only that the book- keeping is correct, but that sound accounting prin- ciples are applied in all matters of judgment. No attempt has been made in this chapter to repeat the AUDITING 445 principles of the preceding chapters. It is to be un- derstood that wherever a principle is enunciated as covering original entries, it is equally applicable to the interpretation of those entries, and to an audi- tor's acceptance or rejection of them. Many problems arising in an auditor's work are peculiar to the kind of business or the particular cir- cumstances on which he happens to be at any time engaged. It is impossible in a book of this sort to cover all kinds of businesses and all circumstances. Problems are arising in auditing railroad accounts, for instance, gas company accounts, mining ac- counts, accounts of charitable institutions, which are unlike any here indicated; but except for the peculi- arities of the transactions themselves or the forms of books in use, they will not be found to require the application of principles different from those given here. No man can expect to audit satisfactorily the books of any business unless he knows the nature of the work performed in the usual course of that busi- ness. The first step of an auditor should always be to familiarize himself with the business itself and with the books customarily used. It must be realized by every bookkeeper, account- ant, and auditor, that he stands in a relation to his client such that the information which comes to him through the books does not belong to him. He has no more right to use it for his own benefit, for the benefit of his friends, or even to tell it to another as a mere matter of interest, than he has to use for his own benefit or give or lend to another the merchan- dise, the cash, or the other property of his client. It is not enough for him to realize merely that he must 446 ACCOUNTING AND AUDITING not make use of his information or turn it over to friends who may make use of it: he must realize that after information has once passed his lips he has no knowledge as to what may become of it. Though he tells business secrets only to acquaintances who he knows have absolutely no use for that information, he cannot know that those friends will not allow it also to escape them and become the property of an- other who may use less discretion in its spread. In- formation merely interesting sometimes spreads until it reaches someone who finds it profitable, or until its spread is harmful for the person originally concerned — especially if it be perverted in the spread. The only rule for a person concerned in the accounts of another is to say absolutely nothing about the information which he receives — even to members of his own immediate family. ' ^ If a bookkeeper, accountant, or auditor, learns from accounts that something is going on which has his hearty disapproval, so hearty that he cannot con- scientiously have part in it even to the extent of being a silent witness, he must at once sever his con- nection with the firm concerned. Even then, how- ever, he has no business to go out and tell his dis- covery unless he is sure that the facts which have come to his knowledge show criminality and require him to make disclosures to the officers of justice — disclosures which he is ready to repeat in open court and are conclusive evidence of legal offense, — and these disclosures should be made only to the oflScers of justice. A statement of suspicion is one of the most harmful statements that can possibly be made. He must say absolutely nothing or else come boldly AUDITING 44? forward and help the authorities to punish the guilty; but he must be sure of his ground before he makes any attempt to bring to justice those whom he con- siders to be guilty. Indeed, it is the duty of an ac- countant, before going to any prosecuting offi- cer, to state to his superiors what are his conclusions from the facts and give them opportunity to explain any possible misunderstandings. If, then, he is sure that legal or moral wrong has been committed, he should at once sever his connection with the firm. Whether he shall make disclosures is a mat- ter for his private conscience. He must avoid, more- over, the possibility of being misunderstood, — must avoid not only blackmail, but the appearance of blackmail. He must not allow even the thought that he can be bought off. In no case should he give any slightest hint of criminality unless he has made up his mind that if his employers fail to explain things satisfactorily he will leave them. Then he must leave. To suggest susi)icion to employers and then to keep still because of fear of losing his position, or because his salary is raised, or because his position is made more attractive, is the height of dishonor. In other words, no half-way is to be considered for a moment. The relations between employer and ac- countant are so confidential, moreover, that the com- munity and even the courts look somewhat askance at anyone who violates such confidence. The in- former should be sure before taking any steps toward prosecution that the community's need for his infor- mation more than offsets the other requirement of loyalty to private obligation. It is obvious from what has been said that the 448 ACCOUNTING AND AUDITING work of an accountant and auditor is not only mathe- matical but moral. Throughout his work he must realize that he is drawing lines of division, and that what lies on one side of a line may belong to one per- son while that lying on the other side belongs to another. Unless he has a judicial temper, the in- fluence of those with whom he comes in contact is likely to overtop his sense of responsibility to those who are distant; and this he must not allow. Unless he has a philosophical mind, he will be unable to make important distinctions between things which on their faces are similar. Unless he has mathe- matical ability, he will be unable to perform necessary calculations. His integrity, moreover, must be abso- lute. It is for these reasons that accounting is com- ing to be recognized as a profession. The account- ant's relation to his client is exactly the same as that of the physician and the lawyer. The accountant is taken into the client's confidence, and it must be known that he will keep his information to himself; he must have education and abilitv, or he will not be able to pass judgment in difficult problems; he must have the keen moral sense to realize that the purpose of accounting is to tell the truth, and that the truth is no respecter of persons, of interests, or of consequences. Of late years a strong movement has developed for the control of corporations, and the means of control most commonly recommended is such publicity that the community can know for each corporation whether it is good or evil. Such publicity requires the services of a large army not only of skilled accountants, but of accountants of integrity; and therefore the promise for the growth AUDITING 449 of this profession is large. Anyone contemplating entrance into it, on the other hand, must realize not only the mental and moral attainment essential for it, but the great responsibility involved in the work. A & A-29 APPENDIX TEST QUESTIONS [These questions are not intended to cover all the ground of th© text, nor are all the questions answered directly in the text. The purpose of these questions is to enable the student to see whether he has done his studying with sufficient thoughtful care, and to suggest to him the sort of problems he should make up for himself. A few questions given here can be answered by reference to the proper paragraphs in the chapters to which they apply; but most of them require a putting- together of separate ideas expressed in the text — involving a comparison, or a correlation, or a new application.] Chapter I. Introduction. (Pages 13-17.) 1. What is the difference between bookkeeping and accounting? 2. Can rules of thumb be given for the solution of accounting problems ? 3. Are accounting principles to be used before the bookkeeping entries are made, after such entries, or both before and after ? 4. What are the three fundamental principles of bookkeeping ? Chapter II. Debit and Ceedit. (Pages 19-32.) 1. Shall we debit or credit John Doe when he gives us his note for the payment of a debt due us ? 453 46« ACCOUNTING AND AUDITING 2. Shall we debit or credit Cash when we pay for merchandise? 3. Shall we debit or credit Rent for sums paid to the business by tenants of property that it owns ? 4. What is the function of property accounts in bookkeeping? 5. What is the function of nominal accounts in bookkeeping? , 6. Why, in any system of logical bookkeeping, must there be a debit for every credit ? Chapter III. The Method of Entry. (Pages 33-48.) 1. What is the function of a ledger ? 2. How do items get into a ledger ? 3. Are any books absolutely necessary besides a journal and a ledger? 4. Is the modern journal usually voluminous ? 5. What relation does the cash book bear to the journal? 6. Does double-entry bookkeeping require at least two postings for each transaction? 7. How far is the form of the double-entry cash book different from that of the parallel-column journal? 8. Why may not items go directly to the ledger without previous entry in another book? 9. If an entry has been made debiting Roe instead of Doe, how may it be corrected without erasure ? QUESTIONS 4S3 Chaptek IV. The Common Ledger Accounts. (Pages 49-107.) 1. Show, in the form of a simple journalization, what should be debited and what credited in each of the following cases : Payment, by you, of wages in the form of mer- chandise. Receipt, by you, of a bond which you have agreed to take in payment of an accepted draft. Writing off a bad debt owed you by a customer. Interest allowed you on your bank deposit. A discovery that in an invoice of goods pur- chased to be sold as merchandise, and charged as mer- chandise, is included $100 worth of office supplies, and $100 worth of goods shipped to the proprietor's resi- dence, and broken goods to the value of $100. Receipt of a promissory note for an account already written off as uncollectible. 2. What should be debited and what credited after each of the following transactions? (a) Buying on credit, at the first of the year, stationery expected to last eight months. (6) Paying for that stationery by issuing a note, (e) Paying that note. (d) Exchanging that stationery at cost (none being used) for merchandise. (e) Selling that merchandise at cost and receiv- ing a note in payment. (f) Collecting cash for the note. Now what is the net result, upon ledger balances, of all these transactions? 454 ACCOUNTING AND AUDITING 3. What transactions are most likely to have given rise to the following journalizations: ' Interest $50 To Cash $50 Adam Bede 1000 laterest 50 To Bills Payable 1050 Loss and Gain 450 To Charles Darnaj 450 4. (a) Jan. 1, X invests in a partnership a note of his wife, for $5,000, due in one month. (6) Jan. 14, X exchanges the note for one of his own payable at the same time, (c) Jan. 25, X takes up his own note, leaving in exchange an accepted draft, due Feb. 1, on B, who is a creditor of the partnership, (d) Feb. 1, . the debt of the firm to B becomes due, and B 's accept- ance is sent to him in payment. Journalize the entries. (e) In the meantime, B, not knowing that X is a member of the firm and that his acceptance will be used to cancel a debt to him, sends his check to X for payment of the acceptance. The two letters cross, and X, not knowing that the acceptance has been sent to B, turns in the check to the cashier, who misunder- stands X and thinks the check is invested by X. What entry will the cashier make? (/) X discovers that the cashier has misunder- stood him, and explains. The correct situation is dis- covered, is confirmed by a letter from B, and a check is sent to B, his check being already deposited. What entry shall now be made to correct the books? QUESTIONS 456 5. The transactions indicated below were jour- nalized as in the entries below. Is the journalization correct in each case? If not, make a journalization to correct the error, assuming that the original jour- nalization cannot be erased or displaced. (a) Sold gcods, on 5% commission, for Henry Esmond, to Arthur Pendennis, $1000. Arthur Pendennis * $1000 To Henry Esmond $950 Commission 50 (&) Stationery bought and paid for m returned, and the mon»y paid is refunded. Cash 25 To Expense 25 (c) We discount at 'a bank our own note for $500. The discount is $7. Bills Keceivable 500 Interest 7 To Cash 507 (d) It is desired to split up the expense account into two accounts, with stationery items kept by themselves in a new account. The amount of the old items for the new account has been found, and the transfer is made on the journal. Expense 56 To Stationery 50 (e) While a new building is going up, the contractors receive advances of money on account of the final payment on the contract. The interest lost on these advances is a part of the cost to the owners. They wish t« enter it so. Interest 760 To Real Estate 750 6. On which side of the ledger is the balance of the following accounts likely to be? What, in each case, does the amount of such a balance indicate ? Bills Receivable. Merchandise. Plant. Rents. Profit and Loss. Commission. Wages. Surplus. 456 ACCOUNTING AND AUDITING Chapter V. The Practical Operations of Book- keeping. (Pages 109-138.) 1. How is it possible to divide an entry between two books so that some part is common to both books, and yet to avoid the danger of double posting of the common part? 2. In posting, how much of each entry should be written in the ledger ? 3. How are balances shown on the cash book? 4. How are ledger balances shown ? 5. What is the principle on which a special book, for example, the cash book, may have several special columns on each side? 6. What are the limitations on the use of special principal books and special columns? Chapter VI. Drawing Conclusions from the Books. (Pages 139-173.) 1. How far does a trial balance that shows equal debits and credits prove that the books are correct? 2. (a) Show a six-column statement of the fol- lowing facts: Merchandise sold, $43,000; merchandise bought, $42,000; merchandise on hand, $13,000; debts due by customers, $15,000; debts due to creditors, $12,000; proprietor's investment, $45,000; expenses paid, $11,- 000; expenses incurred but not yet paid, $250; real estate valuation (unchanged during the year), $40,- 000; bills payable, $9,000; cash, $1,000. (b) Show the balance sheet for the new year. QUESTIONS 457 3. Pill out the following incomplete six-column statement, using no figures not given or implied. Dr. Cr. Resources. Liabilities. Loss. Gain. Cash 20,000 Office Furniture 3,000 500 Expense 13,000 13,000 Interest 500 50 Bills Receivable 5,000 Bills Payable 2,000 Accounts Eeceivable 3,000 Accounts Payable 1,000 Merchandise 20,000 21,000 Capital Stock Show the balance sheet for the new year, sup- posing no dividends to be declared. 4. The trial balance for the ledger shown below fails to prove. Find the trouble. PEOPEIETOR Sundries $16,000.00 Cash Bills Payable MERCHANDISE $10,549.00 Aaron Burr 1,648.00 1,527.10 Proprietor BILLS EECEIVABLE 2,000.00 Aaron Burr 1^27.10 BILLS PAYABLE Merchandise 1,684.00 Proprietor CASH 14,000.00 Merchandise 10,549.00 Merchandise AAEON BUER 1,527.10 Bills Eeceivable 1,527.10 458 ACCOUNTING AND AUDITING 5. The figures below are what a bookkeeper finds on his books at the close of the year : Capital Stock $i69,oao EeaJ Estate $70,000 Mortgages Payable 55,000 Bills Payable 25,000 Bills Eeceivable 15,000 Accounts Eeceivable 17,000 Purchases 150,000 Cash 7,000 Expenses 15,000 Interest 3,000 Taxes 2,500 Sales 30,500 $279,500 $279,500 He reports to the directors a balance sheet as follows : Eeal Estate $63,000 Capital Stock $109,000 Bills Eeceivable 15,000 Mortgages Payable 55,000 Accounts Eeceivable 17,000 Bills Payable 25,000 Merchandise 130,000 Eeserve for Bad Debts 4,250 Cash 7,000 Profit and Loss 21,250 $253,250 $253,250 Explain all apparent discrepancies between the two sets of figutes. 6. Why, in a six-column statement, must the dif- ference between resources and liabilities equal the difference between gains and losses ? 7. In a proprietor's absence the books of a busi- ness are opened and kept by a bookkeeper who keeps accurate record of transactions reported to him but cannot be trusted to figure valuations or profits. At QUESTIONS 45& the end of a year, the records show, before the books are closed and simply as the result of regular transac- tions, the following figures : Proprietor's investment, $100,000; Bills Payable, $17,000; Bills Receivable, $26,000; Real Estate, $20,000 ; Accounts Payable, $15,000 ; Accounts Receiv- able, $20,000 ; Cash, $5,000 ; Merchandise on hand, val- ued at cost, $75,000; Merchandise Dr. on ledger, $49,500 ; Expense, $12,000 ; Interest balance received, $500. Now the proprietor returns and Wishes to close his books for the year. If he needs any information not given above, what questions will he ask in obtain- ing it ? Assimie any fairly reasonable answers to such questions, if any, and then show what is the propri- etor's present investment in the business. Chapter VII. Some Highly Developed Types of Bookkeeping. (Pages 175-212.) 1. "What is a controlling account ? 2. What are the advantages and the disadvan- tages of keeping a separate sales ledger? 3. Are postings made to controlling accoimts from the books of original entry, or from the subordi- nate ledgers? 4. Why is not error introduced when discounts given are entered on the receipts side of the cash book? / 460 ACCOUNTING AND AUDITING 5. What is the objection to ' ' contra items ' ' in the cash book? 6. Can books be kept without a journal? 7. Under the so-called * impressed" system of handling petty cash, what is represented by the bal- ance of Petty Cash in the general ledger? 8. Under the voucher system, what is repre- sented by the credit balance of Vouchers Payable? Chapter VIII. The Peculiarities of Corporation Accounts. (Pages 213-237.) 1. What is the difference between Subscription and Stock Subscribed? 2. Is it advantageous to distinguish betw^een Stock Subscribed and Capital Stock? 3. What is the proper entry for premium on the sale of stock? 4. Does it make any difference whether corpo- rators donate shares to a corporation, or take fewer shares at a corresponding premium? 5. Should each of the following accounts show a debit or a credit balance : Good Will, Subscriptions to Stock, Dividends, Surplus? Why? 6. In combining proprietorships into a corpora- tion, how is it customary to allow, on the books, for earning capacity, and to close proprietors' accounts? 7. Subscriptions at 75 are received for treasury stock having a par value of $100. After the payment of one installment of the subscription, to the amount of $25 a share, the subscriber defaults. What entry should be made on the books of the corporation at the time of forfeiture? QUEiiTlOKS 461 Chapter IX. Property or Expense? (Pages 239-261.) 1. Are nominal accounts likely to be worth face value ? 2. Can all the accounts of a business be nominal? 3. Can all the accounts of a business be real ? 4. '^Real Estate is a capital account, and Rent is a revenue account. ' ' How far is this statement true ? If it is correct, what does it mean ? 5. Which of the following should be charged to capital account and which to revenue account: the purchase of a patent right ; legal fees for organizing a corporation; the purchase of a lease; repairs of machinery ; replacement of machinery ; the purchase of additional machinery ; the loss by fire of uninsured property ? 6. In a manufacturing business what accounts should you open and charge for the following expen- ditures ? Should each of such accounts be treated at the end of the year as a capital account or as a rev- enue account? Taxes on a piece of real estate held for possible extension of plant. Wages of a chemist carrying on experiments for improvement of processes. Contributions to an agency for gathering infor- mation about foreign markets. Expense of maintaining an exhibit at an interna- tional exposition. Compensation to the owner of a piece of land when a lease on that land is by mutual agreement canceled. i62 ACCOUNTING AND AUDITING 7. What is the test for determining the things that should be charged (1) to capital? (2) to revenue ? Is there any middle ground in which a charge may be made def ensibly to either capital or revenue ? If so, what defence is commonly offered for charging to each? 8. A new machine costing $5,000 is bought to replace one that originally cost $5,000, but is now worn out. The expense of operating the new machine will be only three-fourths that for the old. How much shall be charged to Maintenance at the time of replacement? 9. The new machine mentioned in question 8, above, is now supposed to cost $7,000. The expense of operation will be the same as for the machine now worn out. How much shall be charged to Maintenance ? Chapter X. Depreciation. (Pages 263-280.) 1. What is the argument for figuring deprecia- tion of machinery at a decreasing rate ? 2. Suppose a piece of property has depreciated in value to the amount of $1,000. Then $3,000 is spent on it, making it so much better than it was originally that its earnings will be $200 more than originally. How shall that $3,000 be charged? 3. What is usually credited when Maintenance is charged'? 4. What is usually credited when Depreciation is charged? QUESTIONS 463 5. Should Maintenance go upon the income sheet or upon the balance sheet? 6. Should Depreciation go upon the income sheet or upon the balance sheet ? 7. Which sheet is affected by the credit madq when Depreciation is debited? 8. On Dec. 28, 1910, you buy a patent right under which you can manufacture and sell annually for five years in one state 1,000 desk attachments at a profit of one dollar each over the profit on the only unpatented marketable Article. (a) From the table below, determine as accurately as you can the theoretical value of that patent right when money is worth 5%. Present worth of $1 due in 6 years, at 5% $0,746215 Present worth of $1 due in 5 years, at 5% 0.783526 Present worth of $1 due in 4 years at 5% 0.822702 Present worth of $1 due in 3 years at 5% 0.863838 Present worth of $1 due in 2 years at 5% 0.907029 Present worth of $1 due in 1 year, at 5% 0.952381 (6) Is your figure absolutely accurate for the the- oretical value, or is it based on a calculable error ? If the latter, how should you calculate the error ? (c) Shall that patent right appear on a balance sheet for Dec. 31, 1911, on an income sheet for 1911, on both, or on neither ? If so, for what approximate amount ? Chaptek XI. Profits. (Pages 281-304.) 1. What ought books to show with regard to dis- counts (on merchandise) for prompt payments f 464 ACCOUNTING AND AUDITING 2. You are charged with ^^ taking account oi stock" in a store. The clerks give you the numbers and descriptions of articles, and the invoice book- keeper fills in prices as they appear on incoming bills. How far is this material adequate for an inventory? 3. In what sense is discount on bonds issued an asset ? 4. Is it true that premium on bonds bought is an asset? 5. Is it true that premium on stock sold is profit ? 6. How should you treat interest received on a bond bought above par ? 7. Except for the items mentioned below, a cor- poration's balance sheets for 1909 and 1910 show the same figures. How much do these items tell about the history of the corporation for the year 1909-1910 ? 1 1909 Surplus $70,000 1910 liation Fund $20,000 General Reserve 60,000 Depreciation Reserve 20,000 Surplus 10,000 8. If in the case indicated in question 9 for Chap- ter 9 the whole $7,000 was charged to Maintenance, would you call the $2,000 excess cost of the new ma- chine over the old a secret reserve ? Chapter XII. The Income Sheet. (Pages 305-314.) 1. What is the relation between an income sheet and a balance sheet? Can an item appear upon both at the same time ? QUESTIONS 465 2. The following is a condensed trial balance of a partnership. The only inventory is for sup- plies, which amounts to $25,000. No accrued or pre- paid items are outstanding. Allow 10% depreciation on all accounts (except cash and supplies) represent- ing property, 5% on all sums due the business from outside, credit the partners 5% interest on their investments, credit salaries to the partners at $3,000 for A and $2,000 for B, and then divide profit or loss equally between the partners. Show the income sheet. A $40,000 B 20,000 Plant and Machinery $45,000 Supplies 43,000 Sales 95,000 Labor 30,000 Expense 7,500 Interest 600 Discounts 1,250 Fuel 3,000 Insurance 1,150 Freight 1,500 Accounts Payable 9,000 Accounts Receivable 32,000 Steam Earnings 1,500 Cash 500 $165,500 $165,500 3. A profit and loss account at the end of a year, after the books have been closed is as shown below. A & A-30 466 AccouNTma AitTt) AtrmTma Present in the most intelligible form the information that it gives about the business for the year. Peofit AND Loss Fife. l,BiU8 Rm. $200 Jan. : Dfc. 81, Bad Debt! 700 Dec. 3: Neglected Discounts 50 Expense 400 Wagee 28,000 Deprcclatioa T,009 Diridend, No. 07 8,500 Dividend, No. 68 3,500 Bmlano6 16^00 $50,859 1, Balance $15,000 1, Interest 400 Rent 1,200 Collected Discount 300 Trading Account 42,950 $59,850 Chapter XIII. The Balance Sheet. (Pages 315-330.) 1. If payments are received on account of goods in process of manufacture, should such payments appear on the balance sheet ? If so, where ? 2. Is it worth while to open a Bills Discounted account in the ledger ? When would such an account be debited and when credited? 3. Why is it desirable to divide balance-sheet items into groups? 4. Certain items on the liabilities side of a cor- poration balance sheet appeared on December 31 in different vears as follows : 1907 1908 1909 Allowance for bad debts $50,000 $100,000 Reserve for depreciation $50,000 100,000 200,000 Reserve for betterments 150,000 200,000 Surplus 450,000 400,000 500,000 .QUESTIONS 467 The income sheet for 1908 showed surplus for the year $150,000; and that for 1909 showed $250,000. Are the income-sheet figures consistent with the balance-sheet figures? If not, why? If so, what journal entries for each year produced the changes in the balance sheets above? Chapter XIV. The Interpretation of Balance Sheets. (Pages 331-346.) 1. The balance sheet of a corporation on Decem- ber 31, 1908, stood as follows: Real Estate $50,000 Capital Stock $200,000 Plant 95,000 Accounts Payable 20,000 Horses, etc. 15,000 Bills Payable 25,000 Patents 20,000 Profit and Loss 15,000 Merchandise 30,000 Accounts Receivable 30,000 Cash 20,000 260,0©0 260,000 On December 31, 1909, the books appeared as below: Real Estate $55,000 Capital Stock $200,000 Plant 88,000 Accounts Payable 12,000 Horses, etc. 12,000 Bills Payable 17,000 Patents 19,000 Profit and Loss * 33,000 Merchandise 42,000 Accounts Receivable 28,00!) Cash 18,000 ^ 262,000 262,0«0. What were the profits for the year ? Where are they? 468 ACCOUNTING AND AUDITING 2. You organize a corporation, and on January 1, 1908, the following facts are shown by the books : The corporation has taken over from an indi- vidual owner a business of which the assets, deter- mined by conservative valuation of the property, are $100,000 (Bills Receivable and Accounts ReceivaWe, $20,000; Supplies, $5,000; Real Estate and Plant, $75,000). Capital stock to the amount of $500,000 has been issued, of which $200,000 has been given the original owner for his title, and $300,000 has been sold for cash at par. The corporation has bought a neighboring plant for $100,000, paying for it by BiUs Payable to that amount. Show a brief balance sheet under these conditions. Now, you are absent from the corporation's affairs for two years. On your return you are told that 6 per cent, dividend has been paid in each year, and you are shown the balance sheets below. Give a brief history of the business for each of the two years of your absence. Jan. ] L, 1909. Eeal Estate and Plant $420,000 Capital Stock $500,000 Bills Rec. and Accts. Eec. 70,000 Funded Debt 100,000 Supplies 5,000 Profit and Loss 20,000 Merchandise 105,000 Cash 20,000 $620,000 $620,000 ' Jan. 1 ., 1910. Eeal Estate and Plant $400,000 Capital Stock $600,000 Depreciation Fund Bonds 20,000 Eeserve Fund 20,000 Eeserve Fund Bonds 20,000 Profit and Loss 20,000 Bills Eec. and Accts. Eec. 70,000 Supplies 5,000 Mixchandis© 105,000 Cash 20,000 $640,000 $640,000 QUESTIONS 469 3. The balance sheet of a corporation on Jan. 1, 1909, was as follows: Merchandise $65,000 Capital Stock $75,000 Bills Eeceivable 15,000 Bills Payable 10,000 Accounts Eeceivable 8,000 Accounts Payable 5,000 Fixtures 3,000 Surplus 5,000 Cash 4,000 $95,000 $95,000 During the year 1909, the net income was $10,000 ; purchases, $200,000; sales, at 20% above cost price, $240,000; cash decrease, $3,000; bills receivable accepted, $5,000 in excess of such notes collected; accounts receivable charged, $1,000 in excess of accounts receivable collected; bills payable extin- guished, $1,000 in excess of those issued; accounts payable incurred, $2,000 in excess of those paid ; divi- dends paid, $8,000. Show the balance sheet for January 1, 1910. 4. You contemplate purchasing an interest in a business that has run five years, and agree to pay one- third the valuation of its net assets. The following statement is given you by the partners : Dr. Buildings, machinery, etc., at Cost $50,000 Expended for repairs and renewals 8,000 Patent rights purchased 14,000 Balance of sales ledger 26,000 Inventory, as per stores and .^tock books 19,000 $117,000 Cb. Bilk payable $48,000 Baliinec of purchase ledger 47fiOQ PavtaifiPB' capital 22,000 $117,000 470 ACCOUNTING AND AUDITING (a) Assuming that this statement gives all that you need to know, how much must you pay for your interest in the business ? (6) Does this statement give all necessary infor- mation about the assets? If not, what is lacking? 5. Comment upon the condition of a corporation which shows the following amounts for 1910 com- pared with 1909 : Accounts Eeceivable Bills Receivable Accounts Payable Bills Payable Merchandise inventory Gash Sales Purchases Surplus Chapter XV. The Determination ^of Costs. (Pages 347-373.) 1. What is the common mechanism for showing the prime cost of labor? 2. What is shown by the stores ledger? 3. What are the ultimate purposes to be served by cost accounting? 4. What are the chief elements in a machine rate? 5. Why is idle machine time of consequence? 6. Should burden, or overhead cost, be an impor- tant factor in the accounting of retail department stores ; of wholesale department stores ; of charitable institutions; of railroads? 1909 1910 $55,000 $66,000 20,000 25,000 20,000 23,000 15,000 16,500 30,000 37,500 8,000 8,500 300,000 310,000 225,000 238,000 10,000 29,500 ' QUESTIONS 471 7. On what basis should you distribute general or overhead expenses to manufacturing orders under the following conditions: (a) In a shop making hand product only and employing workmen of low grade only? (6) In a shop making hand product only, employ- ing some low-grade and some high-grade labor, and seasoning one-fourth of its product through the vari- ous steps of manufacture so that one year is required for completion of the various processes for that part, but the other three-fourths of the product is com- pleted in one month ? (c) In a shop making part of its product by hand, part by low-cost machines, part by high-cost machines, employing both high-grade and low-grade labor, and turning out all product rapidly? Chapter XVI. Settlements Based on Accounts. (Pages 375-395.) 1. Under what conditions is goodwill creditable to partners? Why not otherwise? 2. How does a statement of affairs for an insol- vent business differ in form and arrangement from a balance sheet? Construct an imaginary balance sheet that will do for illustration, and then make out a possible statement of affairs to correspond. 3. What is a Realization and Liquidation account? 4. Is Deficiency the same as a debit balance to Profit and Loss? 5. In a corporation, is Deficiency the same as Deficit? 472 ACCOUNTING AND AUDITING 6. Below is a summary of single-entry partner- ship books, with the inventories. Set aside five per cent on the value of all assets (except cash) as a reserve fund for depreciation and for accrued items not on the books, and divide profits equally between the partners. Show the bal- ance sheet after the books are closed. James Otis, Inveetment $43,750 Henrj Vane, Investment 50,000 Withdrawals by Partners ($2,000 each) 4,000 Inventory, Goods 65,925 Inventory, Bills Receivable 38,400 Inventory, Furniture and Fixtures 4,750 Cash on Hand 14,065 Caah Paid for Wages 22,500 Cash Paid for General Expenses 14,170 Cash Paid for Raw Material ' 16,250 Sums Owed for Raw Material 6,250 Bills Payable 37,500 Debits to Customers 81,ft90 Credits to Customers 59,190 7. Construct a Deficiency Account to fit the situ- ation disclosed by the following condensed trial bal- ance and the subsequent entries shown. Capital Stock $65,000 Real Estate $210,000 Merchandise 80,000 Bills Receivable and Accounts Receivable 43,500 Bills Payable and Accounts Payable 304,500 Expense 30,670 Bills Receivable' Discounted 25,000 Cash 30,330 $394,500 $394,500 Bills Discounted $25,000 To Cash $25,000 Protested endorsed notes taken up^ QUESTIONS 473 Bad Debts 17,000 To Accounts Receivable 17,000 Bad accounts closed Profit and Loss 24,000 To Merchandise 24,000 Depreciation on old stock, 30% Maintenance of Real Estate 5,000 To Cash 5,000 Repairs on property 8. A partnership agreement provides for equal division of profits. The following trial balance is normal for the business concerned. What light does it cast upon the adequacy of the partnership agreement ? A B C $1,000 7,000 15,000 $50,627 27,510 42,568 Bills Payable Accounts Payable Real Estate 62,000 30,000 23,000 Merchandise 60,705 Bills Receivable 15,000 Accounts Receivable 17,000 Sales Purchases 175,000 210,000 Expense i Interest 27,000 1,500 Neglected Discount 2,500 $a88,705 $383,705 Chapter XVII. Auditing. (Pages 397-449.) 1. If an auditor knows that no dishonesty has been practiced, may he confine his work to checking the bookkeeping, begimikig with the books of original entry *? 474 ACCOUNTING AND AUDITING^ 2. Is a signed acknowledgment from an officer of a corporation sufficient voucher for items which otherwise an auditor would personally examine? 3. What is the function of an auditor's note book? 4. "What are the more common methods of hiding the extraction of cash from customers' remittances, and how does an auditor detect resort to them ? 5. Why is not the controlling account a sufficient check on sales accounts ? 6. What are the more common methods of over- stating cash payments, and how does an auditor detect resort to them? 7. How should you audit payments of interest ; of taxes ; of notes payable ; of discounted notes pro- tested; of officers' salaries; of dividends? 8. Why does an audit usually begin with cash? 9. Why do journal items require special care? 10. What precautions should be taken against padded inventories? 11. In examinations, how far may certificates take the place of auditing? 12. What is the function of an auditor's report? INDEX Account, defined, 34 Account sales, 193 Accounts Payable, 119, 345 Accounts Receivable, 119, 344 Accounting compared with book- keeping, 13 Accrued items, 157, 282, 319 Additional rate, 365, 371 Allowance for Bad Debts, 326 Assets, classes of, 316 Auditing, 397-449 (To avoid confusion with the gen- eral index, a special index for the chapter on auditing is given at the end.) Auxiliary books, 118 B Bad debts, 103, 324, 330 Balance sheets, described, 173, 260, 315 illustrated, 261, 330 comparison of, 330, 331 interpretation of, 343 Balancing, method of, 115 Bill book, 118 Bills Discounted account, 320, 330 Bills Payable account, use of, 58, 78, 93 Bills Receivable account, 52, 92, 344 Bonds, discoumt on, reason for, 27«, 294 premium on, 250, 274, 2»3 Book account, 79 Bookkeeping compared with account- ing, 13 Burden, see Cost, overhead Capital stock, aceount, 213 sold at a premium, 223, 233, 294 sold at a discount, 224, 229, 235, 295 Cash account, use of, 51, 92 Cash book, use of, 36 form of, 41, 122, 123 special-column, 131, 178, 180, 192 Cash-sales book, 111 Charging against revenue, 259 Charging to capital, 259 Checking, in posting, 110 blank. 111, 116, 132 Collected Discounts account, 286, 346 Contingent items, 319 Commercial discounts, see Merchan- dise Discount account Commission cash book, irregular, 192 Consignments account, 193 Contra entries, 114, 178 Contracts, profit on, 290 Controlling account, defined, 176 Corpus of estate, 385 Cost, prime, 348, 351 overhead, 348, 352 joint, 349 apace, 355, 370 selling, 368 Cost accounting, purposes of, 348, 350 475 \ 476 INDEX Cost book, 352 Credit, meaning of, 21, 32 Creditors account, see Accounts Payable Customers account, see Accounts Re- ceivable Customers ledger, see Sales Ledger Day book, 35 Debit, meaning of, 21, 32 Deficiency account, 393, 394, 395 Deficit, 304, 307, 323, 330 Depreciation, on six-column state- ment, 157 prevented by maintenance, 267 methods of calculating, 268 methods of entering, 279 nature of, 295 Depreciation fund, ,279, 298 Details, fullness of, 44 Discount, entered contra, 114, 179 (see also Interest, Interest ac- count. Merchandise Discount account, Neglected Discount account. Collected Discount account. Bonds, Capital Stock) Dividends, on income sheets, 305 Dividends account, 213 Donated stock, 228 Double entry, origin of, 31 in showing profits, 151 Drafts as bills receivable, 53 as bills payable, 59 E Earnings, gross, 310 net, 310 Earnings account, 302 Erasures, 45 Errors, correction of, 45 detection of, 142 Expense aoeount, 60 Explanation accounts, 28 (see also Nominal aceoimts) F Fashion affecting values, 264, 265 Fixed charges, 312 Force accounts, 26 (see also Nominal accounts) Foreign currencies, bookkeeping for, 211 Furniture and Fixtures account, 59 Good will, 221, 381 Gross earnings, 310 Idle time, 362, 370 Impressed system of petty cash, 202 Income, " other, *' 812 net, 312 Income account, use of, 173, 302, 306 Income sheet, use of, 173, 260, 305 illustrated, 261, 308, 309, 313 Insolvency, 386 Installment Subscription account, 215 Interest, as affecting the value of notes, 55 on income sheets, 312 Interest aecount, use of, 61, 66, 81, 82 Inventories in figuring profits, 95, 258, 263, 372 Inventory account, 97 Invoice book, see Purchase bo«k Journal, use of, 35 forms of entry, 36, 38, 121 footing of, lis special forms of, 185, IflT, IW elimination of, 191 JournaJteatioB, parpos« of, 35 INDEX m Labor-eaviug, principle of, 37 Ledger, use of, 33 legal status of, 48 manner of posting to, 110, 126 closing accounts in, 163, 167 subordinate, 175, 192 sales, 176 cuitomers, 176 purchase, 177 tabular, 204 stock, 214, 220 stockholders, 214, 220 installment, 217 stores, 351 machine, 367 Ledger folio column, use of, 110 Leases, 277 Liabilities, classes of, 316 Loss, extraordinary, 302, 307 (see also Profit and loss) M Machine rate, 358 Machinery and plant account, 59 Maintenance account, 242, 266, 279 excessive charges to, 299 Manufacturing and Selling Account, 306 Manufacturing account, 370 Manufacturing accounts, 347 Merchandise, valuation of, 259, 263, 284, 289, 344 Merchandise account, use of, 64, 94 Merchandise Discount account, use of, 102, 286, 346 entry of, 113, 183 Minimum rate, 365, 370 Net income, see Income Nominal accounts, 28, 30, 61, 94, 240, 249, 259 closing, -164 Notes, see Bills Receivable, Bills Payable, Bills Discounted Obsolescence, 253, 266 Occupied time, 365 Operating Account, 306 Operating expense, 310 Operating ratio, 310 Original entry, books of, 47 Partnership, 375 Personal accounts, 30 Petty Accounts, 204 Petty Cash, use of, 202 Posting, defined, 35 method of, 110, 117 Posting checks, 110 Premium, see Bonds, and Capital Stock Prepaid items, 278 Principal books, 117 Private ledger, 208 Profit, determining, 150, 281, 325, 326 as between years, 283, 307 extraordinary, 301, 302, 307 Profit and Loss account, use of, lOt, 306, 307 Property accounts, 24, 93 Purchases account, 97 Purchase book, use of, 36 form of, 42, 124 N B Neglected Discounts account, 346 Net earnings, 310 286, Rates, machine, 358 minimum, 365, 370 additional, 365, 371 An INDEX Eeal accouats, 80, 240, 249, 259 Be«l estate account, 59 Eealizatioa and Liquidation account, 390, 393 Red ink item*, 115, 156, 163 Beplacements, 246, 266, 299 Beserye accounts, use of, 106, 268, 325, 326 Beierve secret, 299 Responsibilitj, basis of aecounting, 21 Seturned purchases, 9S Returned sales, 98 Royalty contracts, 277 Bales account, 98 Sales book, use of, 36 form of, 43, 125 Sales ledger, described, 176 Secret reserve, 299 Selling cost, 368 Shipments account, 193 Short extension, 182 Single entry, 31, 382 Sinking fund as surplus, 300 Sinking fund method, 268 Six-column statement, described, 152 illustrated, 154 Space cost, 355 Solvency, method of showing, 315 Special column, principle of, 128, 182 Special-column cash book, 131, 178, 180, 192 Special-column journal, 135, 137, 138 Statement of affairs, 386 Statement of resources and liabili- ties, 324, 327 Stock account, 372 Stock Subscribed account, 215 Stores account, 351 Stores ledger, 351 Subordinate ledgers, 175, 192 Subtractions, how performed in bookkeeping, 115 Supplies, on a balance sheet, 318 Surplus, account, use of, 106, 223, 297, 307, 314, 317, 322 capital, 224, 230, 294 donated, 228 premium, 294 sinking fund as, 300 for year, 313 Suspense account, 104, 105 T Tabular ledger, 204 Taxes, on income sheets, 309, 311 Trading Account, 306, 372 Treasury stock, 228, 231 Treasury Stock Subscribed, 236 Trial balance, defined, 139 illustrated, 141 errors disclosed by, 142 importance of, 145 inadequacy of, 146 getting a stubborn, 147 Trusteeships, 384 Truth, as the aim of accounting, 283, 300 Turnover, 444 Valuation, bases for, 240 on cost of duplication, 243, 244 on earning capacity, 244 on cost, 245 for inventories, 258, 263 of claims, 324, 345 of reserves, 327 Vouchers Payable, 206 Voucher register, 206 Voucher system, 205 W Wasting assets, 254 INDSX 479 AUDITING Auditing, soop* of, 400 firfit steps in, 402 Auditor, private mark of, 438 responsibilitieB of, 445 qualifications of, 448 Assets, checking, 404 Bad debts, 406, 427, 435 Balance sheet, 434, 440 Bills Discounted, 409, 426^ 435 BUls Payable, 408, 423, 426 Bills Eeceivable, 409, 435 Bonds, 423, 435, 438, 441 Branch accounts, 436 Capital stock, 436, 437, 438 Cash account, fraud in, 405, 467, 422 checking, 415 Cash items, 426 Check book, 415, 418, 430, 422 Cheeking, 409, 412, 413, 416, 423, 425, 426, 429, 431 Checks, outstanding, 422 Confirming, 411, 428, 429 Controlling accounts, 412, 414, 432 Corrections, 484 Creditors' accounts confirmed, 432 Cross footing, 412, 429 Customers ' accounts, confirmed, 432 examined, 442 Deposits, 421, 425 Discounts, 406, 407, 417, 424, 425, 426, 435 Distribution, 412, 429 Dividends, 423, 437 Examinations, distinguished from audits, 397 conduct of, 440-444 Inactive accounts, 408 Income sheet, 438, 440 Insurance, 407 Interest, 407, 423, 425, 437 Inventories, 409, 430 Journal, 426 Ledgers, checking, 412, 413, 414 Minutes of directors, 423, 437 Mortgages, 423, 425, 438 Note book, auditor \ 402, 403, 404, 413, 419, 424, 426, 428 Pass book, 415, 418, 420, 421, 422 Petty cash, 424 Real Estate, 423 Reconcilement, 416, 418, 420 Rents, 423, 425 Report, 400, 413, 424, 428, 439, 441-444 Returns, 406, 407, 425, 429, 431 Salaries, 423 Salting, 443 Securities, 423, 436 Statements substituted for audit- ing, 400, 414, 428, 430, 436, 437 Stocks, 423 Taxes, 407 Tracing, 415, 428, 431 Trial balances, 403, 414, 432 Verifying, 411, 425 Vouching, 411 Wages, 424 re 2520< ^^j# * '^^ V