!
ARTES
1817
SCIENTIA
VERITAS
LIBRARY
OF THE
UNIVERSITY OF MICHIGAN
SY PLURIOUS
யாா
TUEBOR
SIQUER.S-PENINSULAM AMŒNAM
IRCUMSPICE
1
Sold by W. MEADOWS, at the Angel
in, Cornhill; and J. BOWLES, at
Mercers Chapel, in Cheapfide.
The
HE Negociators Magazine; or the Exchanges Ana-
tomized, in two Parts. Part 1ft. Shewing the dif-
ferent Species and Denominations of the Monies, and the
Meaning of the Agio's practis'd in foreign States, together
with the current Prices of the Exchanges, and the Method
to calculate them for moft Places of Traffick in Europe.
Part 2d. Containing plain Inftructions concerning Bills of
Exchange, wherein is fhown what Method to take in moſt
Cafes that can happen in the uſual Tranſactions and Occur-
rences of Trade. Price 3 s. 6 d.
The Purchaſers Pocket Companion, fhewing at Sight,
what Intereft is made by Money laid out in the Companies
Stocks, or any other publick Funds, with the cafieft Method
to caft up the prefent Worth of Lands, Houfes, Annuities,
Fines, Repairs, Reverfions, &c. Price 25 6 d.
Rules for the Port of London, or the Water-fide Practice;
Wherein is fhewn the Method to compute the Duties and
Cuftoms upon Merchandifes: Likewife the Manner of ma-
king Entries, paying Cuſtom, Free, or by Certificate. Pe-
nalties in feveral Acts of Parliament relating to Imports and
Exports. The Tares and Draughts allowed by the King
to the Merchants, with the Fees due to the Officers. And
many other Things neceffary in Custom-boufe Difpatches,
compofed from the moft Authentick Pieces. For the Ufeof
his Scholars. Price 2 s.
All by Richard Hayes.
A
NEW METHOD
FOR VALUING OF
ANNUITIES upon LIVES
Shewing at Sight as follows:
I. How many Years, Months, &c. Purchaſe an Annuity upon Life, for any Age,
from 30 to 73 Years, is worth, when Money yields 4, 5, 6, 7, or 8 per Cent.
Intereſt.
II. How much a Year 10: 7. is worth upon Life for any of the abovefaid Ages, &c.
III. How many Years an Annuitant muſt live to receive the Value of the Money
funk.
IV. The Value of the Buyers and Sellers Chances.
V. The preſent Value of any Annuity upon Life, from Icool. a Year, to one Pound
a Year, for any Age from 30 to 73 Years, when Money is worth 4, 5, 6, 7, or
8 per Cent.
VI. How many Years, Months, &c. Purchaſe, Leafcholds are worth for any cer-
tain Number of Years under 100, at 3, 4, 5, 6, 7, 8, 9, and 10 per Cent. per Ann.
VII. The Annuity that 100 l. is worth, if laid out upon Leafeholds; very uſeful
for valuing of Buildings and Fines.
VIII. The Increaſe of 100 at 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 per Cent. per Ann.
IX. The Decreaſe of 100l. at 4, 5, 6 and 7 per Cent. per Annum; very uſeful for
valuing of Fines, payable at certain Terms of Years in Leafe.
X. The Amount of 100 l. a Year, if the Payment is forborn for any Number of
Years, under 31, at 5 and 6 per Cent. very uſeful in fettling of Accounts be-
tween Executors and Orphans.
Together
With many ufeful Examples and Inftructions for valuing of fingle Lives, two or
more Lives; Lives taken in with other Lives; Reverfion of Lives; Annuities
in Expectation; an Inſtance in the Mercers Company; Eſtates for any certain
Term of Years, as Freeholds, Leafeholds and Reverfions, without any Decimals,
c. The whole being made eafy to a common Capacity.
By RICHARD HAYES, Teacher of Merchants Accounts,
in that Part of Cannon Street, called Eafcheap. He alfo teaches fuch Perfons
as are of a proper Age or Capacity to be made fit for Buſineſs, Writing and
Arithmetick.
LONDON,
Printed for R. HAYES, and Sold by him; and b J. BOWLES, Print and Map Seller,
at Mercers Chapel, Cheapfide; and by W. MEADOWS, Bookfeller, at the Angel,
and H. WHITRIDGE, at the Corner of Caftle-Alley, in Cornhill. 1727.
Haak of scienti
Вери
245?7
I
READER
Have here tendered a Piece of great Uſe to
the Publick in general, reduced into a much
plainer and eaſier Method than has ever been hi-
therto published upon the Subject, and is made intel-
ligible and useful to those who have not had the Oppor-
tunity of an Arithmetical Education, as well as to the
compleatest Arithmetician. For berein you will find all
the most neceſſary Questions between Buyer and Seller,
relating to the Value of an Annuity upon a ſingle Life,
refolved at Sight; and with a little more Trouble,
what relates to the valuing of two or more Lives, taking
Lives in with other Lives, Reverfion of Lives, and the
Value of an Annuity in Expectation, according to the
Propoſals of the Mercers Company; and to render
the Whole as practicable as poffible, there is alfo added
Several Tables, fhewing at one Viem, the Value of any
Annuity upon a Single Life, from 1000l. a Tear to.
11. a Tear, for all Ages, from 30 to 73 Years, at
different Rates of Intereft, i. e. if Money will yield
4, 5, 6, 7, or 8 per Cent. Intereft; and then that
the Buyer and Seller may be each fenfible of the others
l.
Ad
To the Reader.
Advantage, I have frown them the Odds, by valuing
their Chances to the ufual Annuities given upon Life
for 100l. when Money is worth but 5 per Cent. and
have alfo compared the usual randum Practice, and this
new regular Method of fixing the Value of an Annuity
upon each Age of Life together, that it may the more
eafily be seen which comes the nearest a Par.
Thefe, and many other Things, you have in the fol-
lowing Pages, at a much eafier Rate than they could be
acquired by my felf; befides a moft tedious Labour in
my vacant Hours, for many Tears paft, to bring it into
fuch a practical Method for the Ufe of the Publick: Nay,
it refolveth moft Cafes that happen in valuing of Eſtates
in general, without any Decimals, &c. as may be ſeen in
the Table of the Contents; nor has the like ever yet ap-
pear'd in Print, of what you will find in the following
Pages, done by Richard Hayes, Teacher of Merchants
Accounts, in that Part of Cannon-Street called Eaft-
cheap.
July 10,
1727.
N. B. In Page 26. It fhould have been, if 97. a Year is given upon Life for Age
43, for 100 then out of 27 Buyers there are but 17 Lives to receive the Value of
the Money funk; herein the Seller has more than 3 Chances to the Buyers 2.
And if 107. a Year is given upon the Life of Age 50, for 100. the Seller has a
greater Chance than for Age 43.
TABLE
TABLE of CONTENTS.
10' value the Lives of Minors
T
O
Page 2
3
The Amount of an Annuity upon fingle Lives
The Value of fingle Lives according to the Practices?
} 5
of fome Perfons in the City of London
A Table fhewing how long an Annuitant muſt live before the
Value of the Money funk can be received, according to the
aforefaid Practices
The fame explained
To provide for a Family, an Example
3
A Table fhewing the Increaſe of 100 l. at 3, 4, 5, 6, 7, 8. 9, 10,?
11, and 12 per Cent. fer Annum
I
}
5
6
6
7
9
ΙΟ
Tables fhewing how many Years, Months, &c. Purchaſe, an
Annuity upon Life, of different Ages, is worth, according 11
to a new Method, at 4, 5, 6, 7, and 8 per Cent.
Examples explaining the Ufe of the fame
The Annuity that 100 l. is worth upon Life, after the new?
Method, when Money is valued at 4, 5, 6, 7, or 8 per Cent.
Tables fhewing the fame
Example of the Uſe of the fame
Tables fhewing how many Years an Annuitant must live to re-
ceive the Value of the Money funk, by the new Method,
when Money brings 4, 5, 6, 7, or 8 per Cent. Intereſt
Example of the Ufe of the fame
The Value of the Buyers and Sellers Chances
Tables fhewing how many Years, Months, &c. Purchaſe,
Leafeholds are worth, for any Number of Years under 100
Years, at 3, 4, 5, 6, 7, 8, 9, and 10 per Cent. per Annum
Of valuing Annuities upon two or three Lives, &c.
Rules for the fame
Of valuing younger Ages
The valuing of three Lives
Rules for taking in more Lives
The Value of taking in one Life with two Lives
15
16
17
20
2 I
,
25
26
28
37
37
39
39
40
4I
The
The CONTENTS.
The Value of taking in two Lives with one Life-
Reverſion of Lives, and an Example
42
44
The Value of an Annuity for 99 Years in Reverſion of one Life 45
The Value of Eftates in Expectation, and are to come only in 45
Cafe of furviving the incumbent Life
An Example of the fame in the Mercers Company
Another of a Church Benefice in Reverfion
Of Buildings, Fines and Repairs of Leafeholds
Tables for valuing the Rents of the fame, it fhewing how much
I
2
45
46
48
あな
​a Year 100l. is worth, if laid out upon any Leafe under 49
100 Years, at 4, 5, 6, 7, 8, 9, and 10 per Cent.
Example of a Fine upon a Land Leafe
Another, Ditto
Another for valuing the Rents of Buildings
Another of a Shopkeeper, paying a Fine and Repairs
If a Landlord abates any Rent towards repairing a Tenement,
Rules for valuing the fame
Rules for valuing of Freeholds
Ditto
Ditto
Leafeholds
-Freeholds in Reverfion
56
56
57
58
59
60
60
ба
60
61
61
Ditto
Leafeholds in Reverfion
Ditto to make good Years lapfed in a Leaſe
Of paying Fines for Cathedral and College Lands
A Table fhewing the Decreaſe of foo l. at 4, 5, 6, and 7 per
Example of valuing a Fine, payable at the Expiration of
tain Years in Leafe
Of Orphans and Guardians, &c,
Cent. 62
cer-2
64
}
A ufeful Table for fettling Accounts between Orphans and
Guardians, or Executors; it fhewing how much .Money
100 l. a Year will arife to, if the Payment is forborn for any
Number of Years under 31, at 5 and 6 per Cent.
An Example of the Ufe of the fame
Examples of the Author's practical Method of teaching Arith-2
metick-
64
65
66
h-}
66
A fhort Table of Intereft for odd Days, at any Rate per Cent. 69.
Examples of the Ufe of the fame
a?
70
Annuities upon Lives, valued at one View, from 1000l. a
Year to 1. a Year, for any Age from 30 to 73 Years, when 73
Money is worth 4, 5, 6, 7, or 8 per Cent,
4
HAYES's
}
38
HAYES's
NEW METHOD
FOR VALUING
ANNUITIES upon LIVES,
T
At One View.
HE Annuities calculated in the following
Pages, fhew at one View, the prefent Va-
lue upon the Life of a Perfon of any Age;
from Thirty to Seventy and Three, ac-
cording to the Chance of an Annuitant's
living to the Extremity of the common oldeſt Age of
Life And this is done upon Suppofitions of the various.
Degrees of Probability, which Lives of different Ages have
to continue in Being.
B
To
14
2
Hayes's New Method for
To value the Lives of Minors.
Thofe of an Age under thirty Years, muft be confi
dered two Ways; Firft, The Annuity to be bought or
fold upon fuch a fingle Life, muſt be fuppofed upon a Pro-
bability of enjoying the Annuity, according to Nature,
more Years than it is poffible for thofe of a mature Age,
admitting that each fhould live to the Extremity of the
common Age of the oldeſt Life.
And, Secondly, When an Annuity is bought or fold up-
on one or two Lives, of mature Years, in Conjunction with
a Minor, then it muſt be confidered what are the Chances.
of the Younger's furviving the Older Lives.
As to the Firſt, the Probability of the Younger's na-
tural Life, may be of longer Duration than it is poffible
for one of mature Years, and may enjoy the Annuity, ac-
cording to Nature, many Years after the Elder's natural
Life is extinct; therefore it cannot be imagined, that the
Seller will allow fo large an Annuity for 100%. to the
Younger as he will to the Elder, unlefs the Younger
is fo unhappy as to labour under fome apparent chronical
incurable Distemper, which, in all Probability, muſt ſhorten
the Thread of his Life.
As for Example, A aged 18, and B aged 40, would
buy each of them an Annuity of Cupon each of their
own fingle Lives. Now A being the youngeſt, it is pro-
bable for him to live many Years after B, according to
Nature, and confequently C will not allow fo great an
Annuity upon A's Life, as he will upon B's.
And then it ought further to be confidered, that if a Per-
fon finks any Sum of Money upon fo uncertain a Thing as
Life, it must be thought to be done with a View of fe-
1
curing
valuing Annuities upon Lives.
3
•
curing a larger Annuity than he can propofe to make by
the Principle in his own Management, or he would not be
fo infatuated to part with a Property at his own Diſpoſal
during Life, and may be at his Death without fome fuch
immediate Advantage, and upon as good Security.
Then the Purchafer is to obferve, that the greater
Number of Years Purchaſe his Life is valued at, the leſs
his Annuity will be; and the fewer Years his Life is va-
lued at, the greater will be his Annuity. As for Example :
Suppoſe that an Annuitant aged 23 Years, receives for
every 100/. funk upon his own Life, 61. a Year, then
his Life will be valued, if diſcounted at the preſent legal
Rate of Intereft of 5 Cent. at 16 Years Purchaſe,
which is fuppofing his natural Life to be extinguifhed in
36 Years, for fo many Years the Annuitant muft live be-
fore the Value of the Money funk can be received again:
Or if he receives for his Life 71 a Year for every 100.
funk, and diſcounted at the prefent legal Rate of Intereſt
as before, then his Life will be valued at 14 Years & Pur-
chafe, which is fuppofing his Life to be extinguiſhed in
26 Years, being the Years before the Value of the Money
funk can be received. Thus much may be fufficient, at
prefent, for valuing Annuities upon the fingle Life of a Mi-
nor, and to value them with thofe of mature Years. See
more in the following Pages.
The Amount of Annuities upon a fingle Life.
A Single Man or Woman, at the Age of 36, would buy
an Annuity of 60 l. a Year for his or her natural Life,
valuing their Money at 5 Cent. to know the Value
of this Annuity, look in the Tables at the latter End of
the Book, fhewing the Value of Annuities upon Lives, at
B 2
5 to
4
Hayes's New Method for
5
Cent. for Age 36, and then in the Column, for 60
a Year; again, on the fame Line, towards the right Hand,
in the Column under Age 36, and you'll find that 60 l. a
Year upon the Life of one aged 36, is worth 7337. 3 s. 6 d.
Another Suppofition.
A Perfon aged 34 would know how much 43 1. a
Year is worth for his Life, he being defirous to make fuch
a Purchaſe, valuing his Money at the common Rate of
Cent. Intereſt: He looks as before, and finds
5
own Life, being aged 34,
That 40%. a Year is worth
3 1. a Year is worth
upon his
1.
s. d.
500
500 9
O
And
37 10 8
added together
Shews 43 l. a Year is worth
537 19 8
Another.
Suppoſe that a Perfon aged 43 would buy an An-
nuity of 256. a Year for his own natural Life, valuing
his Money at the prefent Rate of 5 Cent. Intereſt. To
know the Value of the fame, he looks into the Table of
Cent. for his Age, and does as follows:
5
200 l. a Year is worth
5.0
6
1. S.
d.
2217 14
554 8
8
8 added together
66 10
7.
Shews 2561. a Year is worth 2838 14
The
valuing Annuities upon Lives.
5
The Value of fingle Lives, according to the Propoſals and
Practices of Jome Companies and Corporations in and
about the City of London.
It is the Practice of fome Companies and Corporati
ons, who grant Annuities upon Lives, to give fome certain
Ages more, and others again lefs; and my Intention being
only to make 'Things as eafy as poffible for the Publick's
Service, ſhall in this Place exhibit the Value of the Annui-
tant's Life, according to the Annuities given by fome Com-
panies and Corporations, viz.
If the Annuitant receives 6 l. a Year for 100 / his Life is
valued at
16 Years 8 Months Purchaſe.
7 1. a Year, it is valued at 14 Years 3 Months Purch.
If
8 l. a Year,
97. a Year,
10. a Year,
11. a Year,
12. a Year,
12 Years 6 Months Purchaſe.
11 Years & Purchaſe.
10 Years Purchaſe.
9 Years
Purchaſe.
8 Years 4 Months Purchaſe.
This Method of Reckoning being compared with my
following Calculations, and diſcounted at the fame Rates of
Intereft, viz. at 4, 5, 6, 7, 8, and 10 Cent. it will fhew
what Number of Years each Life is fuppofed to be ex-
tinguiſhed in, and alfo the Number of Years the Annuitant
ought for to live to receive the Value of his Principal. See
the following Table.
6
Hayes's New Method for
A Table fhewing the Annuitant, according to the foregoing
Calculations, how many Years he must live before he can
receive his Principal again, if he receives 6, 7, 8, 9,
10, 11, or 12. a Year for 100l. funk upon his own
Life, difcounting his Money at 4, 5, 6, 7, 8, and 10 p
Cent. Annum Intereft apon Intereft.
Discount Difccunt | Discount
at 4 per
Cent.
at 5 per
Cent
at 6 per
Discount
at 7 per
Cent.
Cent.
Difcount | Discount
at 8 per
Cent.
at 10 per
Cent.
}
£ a Year.
Years
› Month's
| Years
|
Months
|
Fears
|
Months
628
722
36
26
fee
O
33
fee
30
817 020 0 24
915 016
019
10 13
014
1.6
o 18
22
fee
28
021 I o! fee
I
II II
O I 2
613
215
O 17
025
1210
611
ol
I 2
0113
014
919
| Years
| Months
| Years
| Months
Years
Months
The foregoing Table explained.
An Annuitant receiving 8. a Year during his own na-
tural Life, for 100 l. funk, he valuing his Money at 5
Cent. being the prefent legal Rate of Intereft, would know
for how many Years he muſt receive the faid Annuity to
have the Value of his 100 l. again?
He looks in the foregoing Table for the Annuity he
receives, viz. 81. a Year; and upon the fame Line to-
wards his right Hand, in the Column at 5
the Rate of Intereſt he values his Money at
;
Cent. being
and there he
finds
valuing Annuities upon Lives.
7
finds 20 Years, which is the Number of Years he muſt en-
joy this Annuity of 8 l. a Year, before he can receive the
Value of his 100/ funk at 5 Cent.
Some other Specimens, valuing the principal Money at
4 and 5 Cent. according to the Intereft made by the
publick Stocks, when the Prices are high and the Divi-
dends low, as may be feen at one View, in my Purchaſers
Pocket Companion.
If the Annuitant receives 61. a Year, it will be 28
Years before the Value of the Principal 100 l. is received,
at 4 Cent. and 36 Years at 5P Cent.
If 71. a Year, 22 Years at 4 Cent. and 26 Years at 5 Cent.
8
9
ΙΟ
17
IS
4
4
13
4.
II
II
4
1:2
10 Years at 4
20
16
14
12 Years at 5Cent.
2
11 Years at Cent..
To provide for a Family.
5
A Clergyman, or Layman, aged 47 Years, holding a
Benefice or Place during Life, and having a Family,
would willingly make fome certain Proviſion for them ;-
but finding that his Income will let him lay up about 46 l..
a Year, and that upon no better Security than his own un-
certain Life, therefore chufes rather to fell the Surplufage
of his Income. The Queſtion is, What Provifion the faid
46 l. a Year will make for his Family, admitting the Mo-
ney is valued at the common legal Rate of 5 Cent.
Intereſt.
To refolve this Queftion, I fhall firft value the Annuity,
eſtimating the Chance according to the Probability of the
Sellers living to the Extremity of the oldeft Age of Life..
I
And
8 Hayes's New Method for
"
And lastly, by the Practices of fome in the City of
London.
First, The Value of this Annuity to the Chance of Age
47, is worth upon that Life at 5p Cent. as may be feen
in the Tables at the latter Part of this Book, fhewing the
Value of Annuities upon Life, as follows:
Shews
1.
s. d.
}
added.
40 l. a Year is worth 418 Ο ΙΙ
62 14
6 ·
46 l. a Year is worth 480 15
I
o certain for his
[Family.
Which Sum of Money put out at Intereft, will be doubled
and quadrupled, at the following Times, at the Rates un-
dermentioned:
At 5
Cent. it will be doubled in 16 Years, to 961 l.
ios. and in 32 Years 4 to 1923 l.
1.
S.
At 6
Cent. in 12 or 13 Years, it will double it felf
to the firſt Sum, or in twenty five Years, be quadrupled to
the laft.
At 7
in 23 Years.
Cent. it is doubled in 11 Years, or quadrupled
The fame Question valued another Way.
}
Laftly, Suppofing the Seller would value his Annuity
according to the Practices of fome in London, the Securi-
ties being the fame, and fhould allow but 9. a Year to
the Buyer for his 100 7. valuing the Purchaſe Money at
the Rate of 5 Cent. to know what Proviſion it will make
for his Family. Do as follows:
Mul-
valuing Annuities upon Lives.
9
Multiply the Annuity, viz.
By the Value of the Purchaſe
1.
46 o a Year
11
Years Purchafe
506 0
5 1
Shews 46 l. a Year is worth 511 certain for his Fam.
And this 511 if let to lay out upon Intereft, will in-
5117. IP
creaſe to an incredible Sum, as may be feen in the two fol-
lowing Tables.
A Table fhewing the Increase of 100l. at 3, 4, 5, 6, and
7
100 %.
At 3 per Cent.
Cent.
Ann. Intereſt upon Intereſt.
At 4 per Cent. At 5 per Cent. At 6 per Cent.
| At
At 7 per C.
increafes
to
1.
|
In Yrs.
| Months
•sb !
| In Yrs.
• Months
qrs.
Montbs
| In Yrs.
I grs.
| In Yrs.
Months
I grs.
| In Yrs.
| Months
| qrs.
200 25 5 5
I
197
400 50 10 2 39 2
16
2
32
800 76 33 589048
48 6
3
12 10
259 223
6 I
2
J34 6 3
388 134
1600 101
9
78 4 0 64
64 8
51
7946 I
3200 1 27
2
19711 of 80
801
64
4 5 357 7 I
6400 152
12800 178
7
25600203 6
2117 60 9700 77 4269 I 2
3137 I 0113 2
156 8 0129 4 0'103 21 01922
9031807 73
واه
C
Ą
10
Hayes's New Method for
A Table fhewing the Increase of 100l. at 8, 9, 10, II,
Ann. Interest upon Intereft.
and 12
1001. At 8 per Cent.
increases
to
Cent.
At 9 per cent. At 10 per cent. At 11 percent. At 12 per C.
| In Yrs.
| Months
1 grs.
In Yrs.
| Months
1 qrs.
In Yrs.
‹ Months
I grs.
| In Xrs.
1.
Months
| grs.
| In Yrs.
Months
| grs.
2001
80032
00 10
160043
Q
400, 21
6
I 9 2
318
810
2
7
4 0 17 9
1154
4
I 27
6
268
023
I
3368
356
230
3200 53 10
045
45/10
0,44
44 3
38
4
0.00 +
8
Ο 12
O'18
O 24
A
248
3010
6400 64
7
255
53 I 046 0
037
1280075
6
064 2
062 2
253 8:
043 2
25600 86
41273
273·40 71
64 49 4
The two Tables explain'd.
Theſe two Tables fhew what Sum of Money rool. fwells
to in a fmall Space of Years, at Intereft upon Intereſt, put-
ing the Intereft out again as often as it becomes due, and fo
letting it lie out Year after Year, at the feveral Rates of
Intereft therein mentioned: And by the fame, the Purcha-
fer may easily compute whether a shorter or longer Leafe
is the cheapeſt for purchafing.
So much for the customary Way of buying and felling
Annuities upon fingle Lives. Now fhall be exhibited the
Years, Months, and 8 Parts of a Month's Purchaſe, the
Life of fome Ages are worth, being the Value of the
Chance of the Probability of each Annuitant's living to the
Extremity of the common oldeſt Life. See the following
Tables.
THE
valuing Annuities upon Lives.
II
THE FOLLOWING
TABLE S
SHEW
How many Years, Months, &c. Pur-
chafe an Annuity upon Life of any
Age is worth, from Age 30, to Age
73, at 4, 5, 6, 7 and 8 per Cent. be-
ing the Value of the Chances of
fuch Lives, according to the Proba-
bility of their living to the Extre-
mity of the common oldeſt Age of
Life.
Cz
The
1.2
Hayes's New Method for
The Value of Annuities upon Lives, being the Years, &c. Purchaſe
the Annuities are worth.
At 4 per Cent.
At 5 per Cent.
2
9
6
3
15
3215
3 t
3015
2
Years Age
Years
|Months
w + 18th par.
Ages
Years
Months
18th par
Ages
Years
Months
++ 18th par
452
97
52
Ages
|Years
[Months
18th par.
335310
33013
7 63112
I
I I
I 25410 5 13212 9 454
33 14 10 75510 I
3414 8556 9 10
3514 6 157 9 7
3614 37589 4
3714 I 459 9
3813 10 660 8
3913 8 161 8
23312 7 655
73412
53512
453
9
9
3
2
9 I
6 156
4257
8
3
87
23612
2 558
8
237 12 O 759
8 2
38 11 10
660 711
4
239! II
39!11 8761
7 8
4013
57628 3
240 II
7
262 7
41 13
3
263710
641 II
5
263
7 2
4213
564 7
7
04211
2
764
611
4312
96 6657
3
4412
7 466 6 II
I 43 II I
244 III
065 68
3/66
6
4
4512
56 6 67 6 7
145 10 9
567
6
46 12
0686
3
3
046 10
I68
8
5 9
47 II II
669 510
74710
5
369
3695
6
48 II
9
2705 6
448 10
3
570 5 2
2
49 II
5475
1
149 10
I
071
4 9
5011
511
8173
71734
3 372 4 9
450
911
I 72
4
6
3
او و 051
273
41 4
2
:
$
The
valuing Annuities upon Lives.
13
The Value of Annuities upon Lives, being the Years, &c. Purchaſe
the Annuities are worth.
At 6 per Cent.
At 7 per Cent.
3011
3
252
6
3111 I
553
8
5
910
Ages
Years
|Months
8th par.
Ages
52
77
Years
Months
8th par
Ages
Years
Months
8th par
Ages
Years
→ ∞ Months
8th par.
6:30
3211 O
2 54
83
31 9 8
5:32 9
4153
7
454 7 5
331010
755
8
2
33 9 6
4/55 7
34 10
9
556
711
134
341 9
356 7
35 10 8
357
79
535
4
257 7
36 10
6
758
7
7
3136 9 3
258
6 II
37 10 5
4 59
7
5
I37 9 2
259
694
mm+++++ + + + + +
3810 4
39 10 2
40 10
41
60
7
2
738
I
I 60
673
3/61
7
5 39 9
061
6
54
I
2/62
6
408
7
62
633
911
663 6
7
441 8
9
563 6 I I
42
9 9
664 6
4
7428
43
97
665 6 2 43 8
44
96
666
511
44 8
∞78
064
065
6
166
645!
1651 51
5 6
5107
58 5
45
95
667
58
145 8
067
nn
35
46 9 4 3 68
47 9 2 469
48
49
9 I 270
811 171
50 89
151 88
5 5 046 8
4
168
5
7
5 I 747
8
2
669
69
410
4 10 448
8
I
470
47
46
249
71I
571 4 4
672
273
731 41
4 3 350
710
472 4 I
7
I 451
7 9
3 73 3 II
41
IN
The
14
Hayes's New Method for
The Years, &c. Purchase An
nuities are worth.
At 8 per Cent.
31
ww | Ages
Lears
8
Months
8th par.
Ages
Years
| Months
18th par
8
8
∞ 7
52
6
3
053
6
ΙΟ
3
32 8 6
1.54 6
9
4
33 8
5355
6
8
34
8
4
4.56
6
6
7
m mm m
67
35
36
37
38
83
8
8
8
32 2-y
5:57 6 5
4
758
6
4
059
6
2
I
460
6
I
39
711
761
511
40
711
262 5 9
4
4I
710
2/63 5
7
42
7
43
7
9∞
164 5 5
8
065 5
44 7 7
266
5
I
4
not t
45
7
367
411
I
46
7
47
7 4
3/68 4 9
3694
6
4
48
7 3
4170 4
2
7
49
7 2
171 4
50
7
I
51
귀이
​272 3/10
3
2
273 3 8 7
Ex-
valuing Annuities upon Lives. 15
}
Example of the Ufe of the foregoing Tables.
A Perfon aged 36, would buy an Annuity upon his Life
and would know how many Year Purchaſe an Amuity
upon his Life is worth, to value his Money at 5P Cent.
being the common Rate of Intereft: He looks in the Table
at Cent. for his Age, and the Years, Months, &c.
ſtanding upon the fame Line, towards the right Hand,
is the Value of the Purchaſe, viz.
12 Years, 2 Months, Purchaſe is the Value of an
Amuity upon the Life of one aged 36. And,
11 Years, 7 Mouths, or Purchaſe, at 5 Cent.
is the Value of an Annuity upon the Life of one aged
40 Years.
#
The Annuity that 100 l. is worth, upon the Life of each,
from 30 to 73.
Having in the foregoing Pages fhown the customary
Annuities allowed for 100% given by fome Companies and
Corporations, &c. in and about the City of London, to
the Annuitant upon Life; I fhall in the next Place incert
a Table, wherein may be feen at one View, the Annuity
that the Buyer ought to receive for Tool according to
the Value of his Chance of a Probability of living to the
Extremity of the common oldeſt Age of Life.
་
THE
16
Hayes's New Method for
THE FOLLOWING
TABLES
SHEW THE
Annuitant how much per Annum ought
to be received for iool. funk upon
Life, being the Value of the Chance
of Life, when Money goes at 4, 5,
6, 7 or 8 per Cent. per Annum, upon
the Probability of living to the com-
mon oldeſt Age of Life.
valuing Annuities upon Lives.
17
wwww Years of Age
31
A Table fhewing the Annuitants how much per Annum 100l. is
worth, upon the following Ages of Life.
At 4 per Cent.
7.
s.
d.
Age
1. s. d.
| Age
30
6 8
852 9
4
130
At 5 per Cent.
1.
s. d.
| Age
712
611
053 9
7
831
32
612
454 911
832
716
33
614
355 918
033
718
1. s. d.
45210
8
IO
714
653 10 II
2541015 7
I5510 19
2
8
wwwww
34
35
61510 56 10
9:34
719 105611
5
7
617 9 57.10 7
35
8
!
36 7
058 10 13
7:36
8
8
37
38
7
7
I
i
859.10.17
1
57/11
581117
I I
2
837 8 5
8
39 7
36
310 60 11 7
38
8 8
2611114
739
8 10
5912
06012
60 12 1I
4 6112 18
4
40
7
8
06212 3
840
812
41 710
8631213
6213
3
13 7
141
42 7 13
86413 3 742
8
∞ ∞
814
63
13 16
4147
4
43 7 16
1651315
443 9
465 14 19
I
44 718
56614 9
3144 9
458
70715 3
45
୨
5
566 1512
367 16 6 II
4
468
3
681519
8
46
97
47 8
1488
7468
6817
3
8
6
9691618
9 97018 O
747
48
914
49 8
3117119 12
249
918
37
50
817
51
9
017220 16 850 10
573/2 is
I
9 Ι 469 18 2
0,70 19
71 2016
37222
4II
8
51 10
4
73 22 19
D
18
Hayes's New Method for
*
♪ ♪ ♪ ♪ ♪ ♪ ♪ ♪‡Awwwwwwwwww| Years of Age
d.
s.
d.
45211 13
753 11
32
9
33
9 3
34
95
35
97
36
99
37
38
17 3 I
45412 01032
3210
8
35512 4 33/10
2561210 9 34 10 II
3511 10/13
157 12 16 5 35 10 13
15813 21036 1015
237 10 17
9 10 11 59 13 9
913 6601315 8
38 11
A Table fhewing how much per Annum 100l. is worth upon the
1:
s.
817
819
following Ages of Life.
At 6 per Cent.
Age
1. s.
Age
Age
345213
51153
5313
85413
At 7 per Cent.
1. s. d.
1.5.
S. d.
63010
ΙΟ
7
7
9
85513 11
65613 17
3
757
5714 2
6
558 14
8
9
659 14 15
I I
06015 I
39 915 10 61 14 3
40
4110
42/10 3
43110
6
I I
I
5 1
44 10 8
45 10 10
46 10 12
47 IC 16
48 11
49 II
5011
869 19
117020
3 24912
491
97121
07223 6
7
11/10 3/73/2
5012
31051
36516 3
466 16
10 67 17
10 68 18
11
8
7
917116214 12
4/12 440 II 5
56315 2104111
76415 12
17
I
7
442 11 10 6641618
14311
43 11 12 1165 17
244 II 15
10 45 11 17 1167 18|17
17|11|67|18|17
4461119 668 19 15
0692013
439 II
2
26115 8
66215 18
26316 710
3
9
ΙΟ
26618
2
IQ
9
9
4712 3
5
9
9
48
I 2
6
270 21 15
1 1
I I
9
971 22
18
6
I 2
12
16
97224 12
61 01732
0173 25 9
5
A
caluing Annuities upon Lives.
19
Years of Age
A Table fhewing how much per
Annum 100l. is worth, &c.
1. s.
II IO
30 1110
3111
31 11 13
321115
At 8 per Cent.
d.
Age
1. s. d.
25214 7
0531411
054 14 14
0551417
8
O
331117
34/11/18
55615
3
2
3512
957 15 9 4
36 12
2
9581515 10
4105916 2 4
7
37 12
3812
12 IO
3912
401212
4112
41 12 14
42 12 18
4313
+∞ Ô
Ο
35w
56016 8 II
0611617 7
6217
062 17 5 2.
963 17:15
064185
7651816
066199
2
ON
443
4
4513
267204
46 13
8
26821 I
47 13 11 11 69 22
48 13 14
070 23 2
6
49 13 18
571 2415 4
50 14
I
572 25 18 10
4 8/73/26/1 14 6
51144
>
D 2
Ex-
20
Hayes's New Method for
Example of the Ufe of the foregoing Tables.
A Perfon aged 43, having 100 l. and being in no Way
to improve the fame, and finding at the common legal Rate
of Intereft, it will bring in no more than 5. a Year; and
rather than let it lie out at that Rate, would willingly
fink the 100%. in an Annuity upon Life. The Query is,
what Annuity the 100%. is worth upon Life of Age 43,
when the common Rate of Intereft is 5 Cent. To an-
fwer this Queſtion:
Firft, Look for the Table at the Rate of Intereſt, viz.
5 Cent. and in the fame Table for the Age 43, and the
Sum annexed to it on the fame Line towards the right
Hand, is 9 l. 4 d. which is the Annuity that 100 l. is
worth upon the Life of an Annuitant, aged 43.
If Money goes at 6 Cent. Intereft, then 100 /. will be
worth 10. 6 s. 3 d. a Year, during the Life of one aged
43 Years.
Or, If the common Rate of Intereft is 4 Cent. then
100 l. is worth but 7 l. 16 s. 1 d. a Year during the Life
of the fame Age, 43 Years.
Now I fhall proceed to the next neceffary Work, that is
to fay ; If the Buyer receives the aforefaid Annuities for
100% funk upon Life, it will be convenient for to know
how many Years the Annuitant muſt live before he can re-
ceive the Value of the 100% that ſhall be fo funk upon
Life, which may be ſeen in the following Tables.
2
THE
valuing Annuities upon Lives.
2Ï
THE FOLLOWING
TABLES
SHEW
How many Years the Annuitant muſt
live to receive the Value of 100l
funk, if he receives an Annuity equi-
valent to the Value of his Chance of
living to the Extremity of the com-
mon Age of the oldeft Life, reckon-
ing Intereft for his Money, either
at 4, 5, 6, 7 or 8 per Cent. per Ann.
AAAKARAAAAAAA
AAAAAAAAKA
A
22
Hayes's New Method for
Years aged
Years
Months
A Table fhewing how long an Annuitant must live to receive the
Value of 100l. funk, according to the Chances of Life.
-
At 4 per Cent.
At 5 per Cent.
работа
3025
3821
3920
15
53 14
5414
324
3224
3323
55 14
3423
05613
3522
3622
37 21
05713
58 12
5912
60 II
022
3121
32/21
33 21
013420
33 mm mm m
35 20
36/20
037 19
5214
53 14
05413
05513
56 12
w
\Years
|Months
Aged
Tears
Months
Aged
Years
|Months
57 12
05812
59 11
61 II
3819
03919
60II
6III
40/20
62 II
4018
6210
41/20
063 10
41/18
06310
4219
064 10
04217
64 9
4319
0.65 9
4317
65
}
44/18
066
9
4417
6.6
145
067
46 17
of 68
47 17
∞∞∞
8
48 17
49/16
071
7
4716
4816
049 15
069
69 7
70 7
46 16
147
67
68 8
697
45/16
070
7
0171 6
5016
972 6.
115 of 073
0/50/15
072
6
5
0 05114
oli
7315 0
A
valuing Annuities upon Lives. 23
A Table fhewing how long an Annuitant must live to receive the
Value of 100 l. funk, according to the Chances of Life.
At 6 per Cent.
At 7 per Cent.
31 19
53 13
3219
54 12
30/20
5213
Years aged
| Years
Months
Aged
- Tears
Months
8
5212
53 12
5411
Aged
Years
| Months
| Aged
Years
Months
30
3117
3217
33
19
5512
3317
55 11
34
18
56 12
3417
5611
35
18
57 11
35' 16
5711
3618
5811
36 16
58/10
37 17
59 11
37 16
5910
3817
}
6011
3815
6010
39 17
6110
03915
61
9
4016
6210
40, 15
62
9
4116
163 310
4115
63
4216
64 9
4214
64
4315
65
9
43114
44 15
6681
44114
0 66
a co ∞ ∞
9
45 15
67
со
45
14
46
68
46
13
47
4.8
69
7
47
3
67
068
0 69
7
7
I
70
7
48
3
70
49
4
7 I
49
0 71
50113
072
6
50
13
0 72
13
73
5
SII
073
A
24
Hayes's New Method for
A Table fhewing how long an
Annuitant must live, &c.
At 8 per Cent.
Years aged
~\ Years
O
3016
31 15
3215
33 15
52
53 11
54 11
55 11
5610
Months
Aged
Years
。。 Months
34115
3515
57 10
36 14
5810
}
3714
59
9
38
14
60
9
39 14
61
9
4014
062
9
4113
063
638
42113
064
648
4313
0658
4413
667
4513
067 7
4612
68 7
O
*
4712
69
6
4812
?0
6
O
49
12
71
6
O
SO JI
072
5 O
073
5
The
valuing Annuities upon
Lives. 25
The Use of the foregoing Tables.
A Perfon aged 38, having a Defire to buy an Annuity,
and the Seller agrees to let him have 8 l. 8 s. Annum,
during his natural Life, for 100 l. Now the Buyer being
fenfible of his own infirm State of Health, and the Effect
it has had in his Family, labouring under a Notion it may
have the fame upon himſelf, to the fhortning of his Life
therefore would know how many Years he muſt live if
he receives the faid Annuity, to have the Value of his
100 . funk, reckoning Intereft at the common Rate of
5 # Cent.
5
In Order to know the fame, he looks in the Table, at
Cent. for his Age, and there he finds 19 Years,
which is the Number of Years he muſt receive his Annuity
of 81. 8 s. before he can receive the Value of the 100 %
funk, if his Money is valued at 5P Cent. the common le-
gal Rate of Intereſt at this Time.
ذ
The Months, and parts of Months, are omitted as need-
lefs, the Years being near enough to anſwer the Ufe, be-
ing only defigned to fhew the Buyer the Length of the
Leafe he muft wear out before he can receive the Value of
the Money funk, alfo the Number of Years the Seller fup-
poſes a Life to be extinguifhed in. But for thofe who
would know the Time, to a critical Exactnefs of Months,
&c. there are Tables will ferve for the Purpofe in the fol-
lowing Pages, viz. That for valuing of Leafeholds for
any certain Term of Years, and alfo the other Table,
for valuing of Fines and Repairs. The next Thing I fhall
exhibit, will be the Value of the Buyers and Sellers
Chances.
E
(I).
The
26 Hayes's New Method for
}
The Value of the Buyers and Sellers Chances, according
to my foregoing Calculations, when Money yields but
Cent. Intereft.
5
If Age 26 receives 7. a Year upon Life, for 100%.
funk, fuppofing the Annuitant to be healthy and well;
out of 14 Buyers, there lives but 9 to receive the Value of
the Money funk; herein the Seller has not quite 5 Chances
to the Buyer's 3.
If 8 7. a Year is given upon the Life of Age 34, for 100l.
then out of 9 Buyers there is but 6 Lives to receive the
Value of the Money funk; herein the Seller has just 3
Chances to 2.
If 9 l. a Year is given upon the Life of Age 43, for 100%.
then out of 21 Buyers there is but 10 Lives to receive the
Value of the Money funk; herein the Seller has more than
2 Chances to 1.
If 10 l. a Year is given upon the Life of Age 50, for 100 l
then out of 34 Buyers there are but 19 Lives to receive the
Value of the Money funk; herein the Seller has a lefs
Chance than for Age 43.
If 11 l. a Year is given upon the Life of Age 55, for 100 %
the Seller has much the fame Chance as for Age 50.
If 12. a Year is given upon the Life of Age 59, for
1ool. the Seller has much the fame Chance as for
Age 50.
3
The fame another Way.
Suppofing the common Practices are to give 7, 8, 9 and
10l. a Year for Life upon any Age, from 40 to 50, for
1. when Money yields at Intereft but 5
100/
Cent.
and
1
valuing Annuities upon Lives.
27
and for Brevity fake, will fuppofe the faid Annuities are
given upon the Life of Age 46, then the Chances are as
Follow:
If 71. a Year be given, then the Seller has about 12 Chances to the Buyers :
8 1. Ditto
91. Ditto
Io l. Ditto
9 Ditto
7 Ditto
4 Ditto
4.
4.
3.
'The like may foon be refolved, upon any Annuity given
for Life of any Age, for 100 l. let the Intereft be what it
will, upon applying to the Author.
}
E 2
THE
28
5
Hayes's New Method for
3
THE FOLLOWING
TABLES
SHEW AT SIGHT
How many Years, Months, and 8th
Parts of a Month's Purchaſe, Leaſe-
hold Eſtates are worth for any Num-
ber of Years, under 100, at 3, 4, 5,
6, 7, 8, 9 and 10 per Cent. per Ann.
At
valuing Annuities upon Lives.
29
At 3 Cent.
Annum.
The Value of Leafebolds for any certain Number of Years.
| Years in Leafe
Years
Months
8th par.
Yrs. &c.
Years
Months
8th par.
Yrs. &c.
| Years
Months
8th par.
Yrs. &c.
|Year.
Months
8th par.
I
Ο ΙΙ
2 I ΙΟ
526 17,1
3
2
9
72718 4
728 18 9
+
43
514
429 192
25426
2
030 19 7
25526
5
6
5
31 1911
75626
7
7
62
32204
357 26
9
3
7
525
0522510
15326
3
676 29
I 77 29 4
478 29 5
779,297
029
822910
6
8
28129
9
I
I
8
7
233 20 8
758 26 11
I
383 29 11
I
917
9
334 21
I
o59 27
3/84/30
10
8
6
33521 5
06027
3
28530
II
93
3621
8
761275
86
30
7
I 2
13
IQ
I I
14 11 3
15 III I
9 I I
437 22 0
562 27 7
08730
2
7
6
38/2
22 4
363 27
8
6188
30 3
413922 8
6427 10
48930
4
240 2211
46528
о
I 90
30
5
2
16.12
6
64123 2
7
66 28
I
69130
6
1713
2
042236
16728
3
392 30
6
1813 9
43 239
368 28
4
793 30 7
9330
4
19 14 3
744240
46928
6
394,3
I
2014 10
44524 3
47028
7
695308
2115
2215 II
5
046246
37128
19630
9
9
5
247249
I 72 28 10
497 30 IO
I
23/16
5
348 250
73 28
11
I I
798 30 10
7
24/16 11
24925
2
474/29
I
199 30II
4
25 17
5
01501251 5
17529
2
3
feel 33
1444
At
30
Hayes's New Method for
H
O
Years in Leafe I
Tears
Months
8th par.
~ Yrs. &c.
-Years
| Months
8th par.
42615
15 11
52716
2 28 16 8
4
751
2 I
7
9
05221
0532110
9
37623
07723
478 23 10
0177
6
|Yrs. &c.
Years
| Months
8th par.
Yrs. &c.
Years
Months
8th par
At 4 P Cent. P Annum.
The Value of Leafeholds
for any certain Number of Years.
5
7
6
6
aans W
2
IIO
3 2
4 3
9
7
429161I
65421
I I
779 23 10 4
4 5
330 17 3
45522
I
731 17 7
15622 2
032 17 10
45722
3
63318
65822
5
280 23 II
5812311
581 23 11 4
682 23 11 7
08324
이 ​3
9
7
5
23418 5
5922
6
284 24
IO
8
I
33518 8
06022
7
48524
Í I
8
9
136 18 10
810
7
61122
8
58624
이에
​I 2
I 5
I 2
9 4
53719 I
66222 9
587 24
13 9 II
73819 4
4632210
5/88/24
2
14 10
6
639 197
064/22 I I
58924
2
6
1511
16 II
17 12
18 12 7
I
44019 9
7
7 41 19 11
19 13
224
042/20
2
2
743 20
4
I
544/20
6
m t
2013 7
045 20
8
21 14
346/2010
22 14 5
347 21
47223
6
231410
348 21
2
37323 6
46523
76623 I
26723
4 6823 3
56923
4 094 24
69524
19624
57023 4
57123 5
I 97 24
79824
490 24
3 I
49124
3 4
492 24
37
19324
+
2
5
5
24 15
3
49 21
4
17423 7
499 24
2515
7
4/50/21
5
77523 8
。fee25
Af
valuing Annuities upon Lives.
31
O
Tears in Leafe
Years
Months
8th
par.
~ Trs. &c.
3 26 14 4
32614
95118
32714
3 27 14 7 45218 5
4
76 19
Years
Months
8th par.
| Yrs. &c.
Years
Months
8th
par.
Irs. &c.
Montbs
Fears
8th
par..
At 5 Cent. P Annum.
The Value of Leafeholds for any certain Number of Years.
11
3
2 I IO
3
4
5
23+
8
6281410
65318 6
77 19 6
7819
7
42915 I
65418
79 19
7
4
4
3015 4
45518 7
68019
7
6
5
73115 7
25618
8
48119
7
7
519
32159
65718
9
8
6
43316 O
2/82
158 18 10
5818
9
7
34′16 2
3 59 18 10
2 19
8319
68419
8
2
8
ΙΟ 7 8
35164
4
460 1811
385 19
8
519
I I
8
3
33616
16 6
56118 II
引
​78619
8
12
13
810
33716 8
56219
487 19
8
7
4
63816 61
||63|19
18819
9
14
910
739
73917
26419 I 589 19 9
15 10
4
54017 2
06519 2
190 19 9
16 10 10
14117
3
56619
2
59119
9
3.W
17 11
3
34217
17 5
167 19
18 11
8
343 17
6
19 12
20 I 2
5
54517
9
746 1710
이
​2313
I
21 12
2213
14417 8 0 6919
47 17 II
5 748 IE
49319
3 794 19
3 7019 4
5 7119 4
9
395 19 10
951910
6961910
1
6819
co co m
3 192 19
9
5
3
9 6
7
1
772 19 5
197 19 10
2
0 7319
5
498, 1910
3
24 13
2514
9
549 18
2
I 7419
5
799, 19 IO
A W
4
I
2.5018
༢
1 75119
6
ifee 20
A¢
32
Hayes's New Method for
formed
Years in Leafe
Months
8th par.
Years
? Irs. &c.
15
7.7616
Months
Years
8th
par.
Trs. &c.
Months
Years
8th par.
Yrs.&c.
Months
Years
8th par.
At 6 Cent. Annum.
The Value of Leafeholds for any certain Number of Years.
2
3
I ΙΟ
2 S
I
I
Ο Ι Ι
326
3
02713
2
128 134
13 4
9
5
552151IO
4:77 16
5
7531511
07816
6
A
4
35
4 29 13 7
15415II
47916
6
4
30139
25515 II
780 16
6
2
31
131 1
25616
4/81 16
6
3
5
7
032 14 I
0.57/16
782 16
6
4
8
6 2
433
14 2
5816
I
2/83.16
6
6
9
53414
4
4:5916
I
58416
6
ΙΟ
714
3 35 146
06016
2
08516
6
I I
710
536147
56116 2 38616
I 2
8
4.
537
14 8
76216
2
58716
6
7
13
33814
1410
26316 3
08816
6
14 9 3
5391411
46416 3
28916
6
15 9
1610
5
24
36
17 10
ΙΟ 5
1810 10
19 11 2
2 Ο Ι Ι
2 III
22 12
2312
54015
341 15
74215
4-3 15
2
9
46516
3
69016
6
666 16 4
09116 7
2
66716 4
3
6 68 16
4
29216 71
49316
7
044
4
5 69 16
4
694 16
7
2
6 45/15
5
470116
5
4
15
6
371 165
095167 2
9616 7
2
25/129
447157
5/48/15
5149
4915
450
(100
519
2175/16
172165
773165
574165
49916
5 fee 16!
7
23
297 16
39816
7 3
7
mmo
At
valuing Annuities upon Lives.
33
I
I I
2 I 9
3
A w
4
2
26111
Years in Leafe
Years
Months
8th par.
Yrs. &c.
| Years
Months
8th par.
~ Xrs. &c.
0151
511310
7521310
6531310
7014
377 14
2 2
3
4
|
|
Years
Months
8th par
Yrs. &c.
Years
Months
8th
par.
At 7 Cent. P Annum.
The Value of Leafeholds for any certain Number of Years.
2
7
3
4
5 27 II II
428 12
62912 3
6
I
7814
2
4
354 131I
079 14
2
5
5
4 I
23012 5
05513 II
8
672 a
4
23112 6
5561311
38014
58114
2
5
5
4
632
3212 7
7 57 13 II
78214
5 II
3312
9
1 58 14
6 6
2341210
25914
18314
38414
2 2
2 2
ΙΟ
I I
I 2
7
7
7/11
138
148
313 I2 II
36014 0 48514
36 13 O
46114
86147
I I
337 13
46214
7871-1
4
33813 2
36314
08814 2
7
039133
26414
15 9
340 13 4
06514
16 9 5
341134
766 14
I
17 9 9
242135
467 14 I
1810
64313 6
3 68 14
28914
390 14
9014
49114
59214
69314
3
19 10
4
14413 6
669 14
I
794 14
2010
7
245137
3 70 14
2
09514
21
IO IO
146 137
77114
2
09614
3
22 II о
23 II
6 4713
138
37214
197 14
3
34813 8
77314
298 14
24 II
5
25 II
ར 6 49139
71·7501319
27414
2
2991 14
5 75 14
3fee 14
2 m ca în ea ca ce on on dò, co mia
7
3 I
3
I
F
At
34
Hayes's New Method for
Years in Leafe
| Years
Months
8th par.
| Yrs. &c.
Years
Months
8th par.
Vrs. &c.
Years
| Months
8th par.
Yrs. &c.
Years
Months
8th par.
At 8 Cent. P Annum.
The Value of Leafebolds
for any certain Number of Years.
26
34
2
3
4
I
2 6
9
3
610
27 10 11
a
7
2 2
28
Í Ï
O
629 11
II
2
954 12
41 7
030 II
4311
II 4
3+
15512
25612
3
mm m
3
3
3
65112
25212 3
55312
I
76 12
377
347812
57912
68012
5
I2 5
5
5
5
78112
32 II 5
257 12
4
182 12
5
6
8
33 II 6
25812
4
38
6
3417
159 12
4
4
84
m +
3
12
5
6
I 2
7
I I
12
13
14
6
435 II
7
760 12
1 to
636
36 11
I I
8
56112
4
437
4 3711
9
362 12
+++
4
18 5 12
7
68612
5
7
478712
5 7
8
3
7381110
391110
ΙΟ
06312
4 78812
5 7
564 12
4
78912
51 7
15 8
640IIII
16512
4
790 12
57
16
810
241
41 II II
66612
5
19112
5 7
17 9
44212
167 12
5
19212
5 7.
18 9
4
44312
568 12
5
29312
51 7
19 9 7
344 12
06912
5
394 12
5 7
201 9 9
74512
I
370 12
5
39512
5 7
21, 10
O
2/46 I 2
I
6 7112 5
396 12
5 7
22/10
2
44712
7212
5
397 12
5 7
23 ΙΟ
4 4/48/12 2
37312 5
398 12
5 7
24
6
4912
2
574/12 5
49912
5 7
N
25
8
12
2
775/12 5
5 fee 12
2
At
valuing Annuities upon Lives.
35
23
4 5
73110 4
J
но
2
II
9
2 6
4 33
3110
026
I
91
2710
3 28 10
02910
I
73010 3
O
I
251101 I
352 1011I
453 IOII
6
57611
77
778 11
Years in Leafe
Years
Months
8th par.
Yrs. &c.
Years
Months
8th par.
| Yrs. &c.
| Years
Months
8th par.
Yrs. &c.
Tears
Months
8th par.
At 9 Cent. P Annum.
The Value of Leafeholds for any certain Number of Years.
I I
I
I
454 10II
77911
I
355 1 1
Ο
080 II
I
I
15611
O
181 11
I
I
7
43210 4
8 5643310
5
7 57 II
55811
282 11
II
I
I
2/83 11
9.
5 II
734106
2/59/11
ΙΟ
65 I
ΙΟ
35 10
6
7601
II
69
6 36 10 7
36111 I
mm +
I 2 7
73710
7
762 II
31841
38511
48611
48711
m
ΙΙ
I
I I
I
I
I
I
2
I
2
13 7 5
73810
38 10 8
36311
588 11
I
2
14 7 9
439108
664II
58911
I
2
15 8
740 10
9
165 11
59011
I
2
16 8 3
7 41
741109
466 II
6
91 II
I
a
17
816
542109
66711
6
9211
I
18 89
I
19 811
43
444 10 10
IOIO
68II
6
93
I I I
3 69 11
794 II
I
20 9 I
5 45 10 10
47011
79511
I
21
93
4 46 10 10
67111
7.96 11
I
I
સ
2
2
22 915
23 97
24 98
25 9
59 9
750101 I
3 47 10II
07211
048 10 II
4|49|10|II
1731I
2 74 II
47511
797 II
798 11 I
09911
I
fee' I I
I
2
I
F 2
At
36
Hayes's New Method for
At 10 Cent. Annum.
The Value of Leafeholds
Years in Leafe
Tears
Months
8th par.
~ \ Yrs. &c.
#
for any certain Number of Years.
Years
Months
8th par.
Yrs. &c.
Years
Months
8th par.
Yrs. &c.
Years
Months
8th par
I
2
3
4
OI
ΙΟ
I 8
42
7
26
912
O
910
77
9
5
727 9
752
911
077
911
I
2
5
7/28
5
9 3 653
911
078
911
5
5
6
78 9
mm++n
3
029
94
4
454
911
079
911
5
3
9
430
255 911
180
୨
911
I I
5
4.4
231
9 5
756 911
181
911
5
4
432
9 6
457 911
182
911
5
5
4 133
6
758
911
2183
911
5
9 134
97
359
911
284
9 II
5
10 6
I 635
97
7 60 911
285
911
5
II
6
5
736
918
161
911
3
86
911
I
5
I 2
69
737
13
7
I
238
ww
c
4/62
911
387
9/11
5
98
763
9 II
3188
911
I
5
14 7
4
439 9 9
164
911
3109
89
911
6
15
16
77 340 9 9 365
710 0141
911
490
911
99 5/66
911 I 491
୨
9II
18
19
78 9
17 8
342 99 767
912
4/92 911
6
8
444
4143 910 068
84 4444
20 8 6 245 910
911
49391
6
91O
069
9
911
494
911
6
70
911
595
9 II
6
2 I
87
746 910
I 71
911
596
911 6
22
89 347 910
372 911
597
911
6
23
8 10
548 910 473
911
598
9 II
6
24
8 II
25 9 I
of 501 9/10
749 910 574 911
6759
599 9 II
6
5\fee! 10100
Of
valuing Annuities upon
Lives. 37
Of valuing Annuities upon two or three Iives, &c.
As Queſtions of this Nature cannot be reſolved without
comparing the Value of Uncertainties, with the Value of
Certainties, viz. the Value of an uncertain Life, with the
Value of Leafeholds upon a Certainty; it therefore obliged
me, before I could proceed upon this Head, to calculate and
incert fome other Tables, as may be feen in the eight fore-
going Pages, they fhewing the Value of Leafehold Eſtates
for any Number of Years, under 100, or the Value of
Freeholds at 3, 4, 5, 6, 7, 8, 9 and 10 Cent. Annum.
The 1ft, 5th, 9th and 13th Columns fhew the Number of
Years upon Leafe, and the other Columns fhew how ma-
ny Years, Months, and 8th Parts of a Month's Purchaſe
the faid Leafes are worth.
Valuing Annuities upon two Lives.
The Value of two Lives being given to find the Value of
an Annuity granted during the longeſt Life, or as long as
either of them are in Being.
Firft, Find out how many Years Purchaſe the Life of
each Age is valued at.
Secondly, Look in the Tables, fhewing the Value of
Leafeholds upon a Certainty, for the neareſt equivalent
Sum, to the Value of each Age.
Thirdly, Thefe Sums added together, the Total will
be the Number of Years the two Lives are valued at toge-
ther, upon a Certainty.
Laftly, Look for the Number of Years both Lives
are valued at together, in the Tables for valuing of Leaſe-
hoid Eitates for a certain Term of Years, and it will fhew
2
how
€
38
Hayes's New Method for
how many Years, Months, &c. Purchaſe an Annuity upon
two Lives are worth.
Example, A aged 51, buys an Annuity on his own
Life, and on the Life of B, aged 37 Years, and would
know how many Years Purchaſe this Annuity is worth ;
he valuing his Money at the common Rate of 5 Cent.
Intereft.
In the Tables at 5 Cent. is found as follows:
Age 51, is valued at 9 Years, 2 Months, 2 Eights Purchaſe.
37,
7 Eights certain.
12
In the Tables ſhewing the Value of Leafeholds upon a
Certainty, is found:
That Age 51 is valued near equal to the
Worth of a Leafe for
And Age 37 is valued near equal to a
Leafe for
Theſe added together fhew the two Lives
are valued at
}:
13 Yrs. certain.
19 Ditto
32 Ditto
Then look in the fame Table again, for the Value of
Leaſehold Eſtate for 32 Years certain to come, and there
it appears, that the Value of the Leafe upon this Eſtate is
worth 15 Years, 9 Months, and 6 Eights, or three Quarters
of a Month's Purchaſe, and is the Value of an Annuity upon
theſe two Lives.
{
Of
valuing Annuities upon Lives. 39
Of valuing of younger Ages.
My Intention in the foregoing and following Propofitions,
being to make the Practices in valuing Annuities upon
Lives eaſy to thoſe who have not had Opportunity enough
to acquire a competent Knowledge in Arithmetick, fo as
to make a tolerable Advance towards the Knowledge of
the Value of an Annuity: I have therefore only laid down
fome general Rules in the firſt and fecond Pages of this
Book for valuing of Annuities upon the fingle Life of a
Minor; and here in valuing of fuch Lives, in Conjunction
with thoſe of mature Years, fhall wholly conform my felf
to the cuſtomary Ufages among the Dealers in this Way,
reckoning no more Years for the Value of a Youth, than
for thoſe of a middling Age, and this is done, it may be
prefumed, in Regard to the many Hazzards in Life, inci-
dent to thofe of younger Years, more than is common to
thoſe of an advanced Age.
The valuing of three Lives.
A aged 53, buys an Annuity upon his own, and upon
the Life of B, aged 43, and pon the Life of C, aged 19,
and would know how many Years Purchaſe this Annuity
is worth, he valuing his Money at 5
He looks in the Table at 5
upon Lives, and finds
Cent.
Cent. for valuing Annuities
Age 53, is worth to Years, 7 Months, 6 Eights Purchaſe.
43,
19,
I 2
12
9 - 6 Ditte
(as a Minor)
Purchafe.
Then
40
Hayes's New Method for
Then he looks in the Table, fhewing the Value of Leafe-
hold Eſtates upon a Certainty, for the neareſt Sum to the
Years of each Life, there finds,
Aged 53, is valued equal to a Leafe for 15 Years certain.
43, Ditto
19, as a Minor, Ditto
Added together, fhew the Value of
them all to be
21
19
}
55 Years certain.
And the fame Table fhews, that the Leafe of an Eſtate for
55 Years certain to come, is worth 18 Years, 7 Months,
and 6 Eights, or 4 Purchaſe, which is the Value of an An-
nuity upon the aforefaid three Lives.
Rules for taking in more Lives.
Suppofing each Survivor to enjoy the Annuity; the Se-
nior firft, and fo on in Succeffion to Seniority.
To find the Value of Lives taken in, you muſt obſerve
the following Method, viz.
First, Find out the Value of an Annuity upon all the
Lives, as well thofe in effe, as thoſe to be taken in the
Leafe.
}
Secondly, Value the Annuity upon the Life or Lives in effe,
i. e. due in the Leafe.
And lastly, From the Value of all the Lives, deduct the
Value of the Life or Lives in effe, the Remainder is the
Value of the Lives taken in See the following Examples.
The
valuing Annuities upon Lives. 4 Ì
The Value of taking in one Life with two Lives,
Haged 57, having an Annuity upon his own natural
Life, and upon the natural Life of G, aged 49, to be en-
joyed during Life of the longeft Liver; being defirous to
have N's Life, whofe Age is 34, put into this Annuity,
to be enjoyed during Life of the longeſt Liver, therefore
would know how much he ought to pay for taking in N's
Life, and to have for his Money 5 Cent.
First, muſt be found out the Value of all the Lives, as
well thoſe in eſſe, as the Life to be taken in, viz. the Life of
Age 57, is worth 8 Years, 7 Months, 6 Eights Purchaſe.
49,
34,
ΙΟ
I
I 2
4
2
Secondly, Find out in the Tables for valuing of Leafe-
holds upon a Certainty, what Number of Years certain a
Leafe muſt contain to be worth the Years Purchaſe the
abovefaid Ages are valued at, viz.
8 Years, 7 Months, &c. Purchaſe is the
Value of a Leafe certain for
11 Yrs.
added
10 Years, 1 Month, &c. Ditto
12 Years, 4 Months, &c. Ditto
Shews the three Lives are equal to the
Value of a Leafe for
15 Yrs. (together
20 Yrs..
46 Yrs. certain.
The Table for valuing of Leafeholds, fhews that a Leafe
for 46 Years certain, is worth 17 Years, 10 Months, 5 Eights
G
Pur-
42
Hayes's New Method for
Purchaſe, which is the Value of this Annuity upon the three
Lives.
Thirdly, From the Value of the Annuity upon the three
Lives, deduct the Value of an Annuity upon the Lives of
Ages 57, and 49, being the Lives in effe, the Remainder
is the Value of taking Age 34 into this Leaſe.
Age 57, is valued at 11 Years certain
49,
15 Ditto
The two Lives in effe, at 26 Ditto
A Leafehold for 26 Years certain, is worth 14 Years,
4 Months, 4 Eights Purchaſe, which is the Value of the
Lives in effe.
From the Value of the
3 Lives, viz. -
Deduct the Value of
17
Yrs. 10 Mon. 5 Eights Purchaſe
4
4 Ditto
the 2 Lives, viz. — 14—
the}
The Remainder is the
Value, viz.
3 Yrs. 6 Mon. 1 Eights Purchaſe.
And 3 Years, 6 Months, 1 Eights Purchaſe, is the Va-
lue of taking the Life of Age 34 in.
The Value of taking in two Lives with one Life.
A aged 54, is defirous that B, aged 40, and C, aged 32,
fhould, in Succeffion to Seniority, enjoy the Annuity after
his Death, therefore is defirous to have both their Lives
2.
included
valuing Annuities upon Lives.
43
Cent. and
included in the fame, valuing his Money at 5
would know what is the Value muſt be paid for taking
theſe two Lives in.
He first values the three joint Lives, from which he de-
ducts the Value of his own Life, the Remainder is the Va-
lue of the Sum to be paid. See underneath.
Age 54, is valued at 9 Years, 3 Mon. 2 Eights Purchaſe
40,
32,
7 -2 Ditto
II
I 2 - 9
And,
9 Yrs. 3 Mon. &c. Purchaſe, is near the
Value of a Leafe for
I I
12-
=
7
&c. Ditto
-9
&c. Ditto
4 Ditto
13
Yrs. certain
18 Dit.
21 Dit.
The Years certain added together, fhew
the 3 Lives are worth 52 Yrs. certain
Now a Leaſe of an Eſtate for 52 Years certain, is worth
18 Years, 5 Months, 1 Eights Purchaſe, which is the Va-
lue of this Annuity upon the 3 Lives.
From the Value of thefe three Lives, fubftract the Va-
lue of his own Life, viz.
From the Value of the 3 joint 18 Yrs. 5 Mon. 1 Eights Pur.
Lives, viz.
Subſtract for the Value of
his own Life, Age 54-S
The Remainder is the Val.
for taking in the 2 Lives
G 2
9
3
&c. Ditto.
9 Yrs. 2 Months Purchaſe
Rever
44
Hayes's New Method for
Reverfion of Lives.
A Gentleman buys a Freehold valued at 24 Years
Purchaſe, in Reverfion of three Lives, aged 56, 43, and 32,
to know the Value of this Purchaſe, reckoning the Money
at 5 o Cent.
From the Value of the Eftate, deduct the Value of the
3 Lives, the Remainder will be the Value of this Purchaſe.
Age 56, is worth 8 Years, 10 Months, 3 Eights Purchaſe
43,
32,
II -
I 2
I
9
8 Years, 10 Mon. Purchaſe, is the Value
of a Leafe for
4 Ditto
}
12 Yrs. certain
17
Ditto
21 Ditto
11 Years, 1 Mon. Purchaſe, is near, Ditto
12 Years, 9 Mon. Purchaſe, Ditto
Added, thews the Value of the 3 Lives are?
the Value of a Leaſe for 50 Yrs. certain
A Leafehold Eftate for 50 Years certain and to come,
is worth 18 Years, 3 Months Purchaſe, which is the Va-
lue of the 3 Lives.
From-
24
Subftract
18
Yr. 9 Mon. Pur. is the Value of the Eſtate
Mon. Pur. the Value of the 3 Lives
The Remainder 6
3
6 Mon. Pur. is the Value of the Re-
[verſion, and is what the Gentle-
[man ought to pay for the fame.
N
An
valuing Annuities upon Lives. 45
An Annuity for 99 Years in Reverſion of one Life.
A
A would buy a long Annuity for 99 Years, valued at 22
Years Purchaſe, in Reverſion of B's natural Life, aged
49 Years, to make 5 Cent. of his Money.
From 22 Yr. 3 Mon. Pur. being the Value of the Annuity
Subſtract 10 Yr. 1 Mon. Pur. being the Value of B's Life.
I
Remains 12 Yr. 2 Mon. Purchaſe which is the Value of this
Annuity in Reverfion of the faid B's Life.
The Value of Eftates in Expectation, and are to come only
in Cafes of Survivorship.
An Inftance in the Mercers Company.
Aged 47, puts in the Mercers Company tool. for the
Benefit of his Wife, aged 43, for her to receive 20 l. a Year
during her natural Life, commencing on the Day of her
Husband's Death, if the Wife fhould be the longeſt liv'd;
but if the Wife dies firſt, the 100 l. is loft for ever. To
know the Value of this 20 l. a Year in Expectation, when
Money is worth but 5
Cent.
Rule, From the Value of the Husband and Wife's joint
Lives deduct the Value of the Husband's Life, the Remain-
der is the Value of the Annuity in Expectation.
Aged 47, is valued at 10 Years 5 Mon. 3 Eights Purchaſe
43,
II
I
And
40
Hayes's New Method for
And 10 Yrs. 5 Mon. Purchaſe, is about the
Value of a Leafe for
hc}
And 11 Yrs. 1 Mon. Purchaſe, is near Dit.
The Husband and Wife's joint Lives are
about the Value of a Leafe for
15 Yrs. certain
17 Ditto
32 Ditto
A Leafehold Eftate for 32 Years certain to come, is
worth 15 Years, 9 Months Purchaſe, and is the Value of
the Husband and Wife's joint Lives.
From-
Deduct
The Remainder
15
Yrs. 9 Mon. Pur. the Value of the Hus-
[band and Wife's joint Lives
10 Yrs. 5 Mon. Purchaſe, being the Value
[of the Husband's Life
5
Yrs. 4 Mon. Purchaſe, is the Value of
[20%. a Year in Expectation.
Or it comes to in Money 106 l. 13 s. 4 d. at 5 Cent.
Or if Money goes at 6 Ct. to 97
ΙΟ
O it will amount.
And the Company has near 2 Chances to 1 on their fide,
if the Wife will ever enjoy the faid Annuity. If the Huf-
band's Age is 47, and the Wife's 43, when Money will yield
but 5 Cent. Intereſt.
The Value of a Church Benefice in Reverſion.
A Gentleman having a Son at the Univerſity, Age 23, who
has taken up his Degrees at the College for a Clergyman,
would therefore provide him a Benefice, and to be as fe-
cure
valuing Annuities upon Lives.
47
€
cure as poffible, would buy one of any Perfon who has the
Right of Prefentation, to know the Value of fuch Expecta-
tion, fuppofing the Incumbent, aged 68, and Money to be
worth 6 Cent. Intereſt.
From the Value of both Lives jointly, deduct the Value
of the Incumbent's Life, the Remainder is the Value of
the Purchaſe.
Age 68, is worth 5 Yrs. 5 Mon. Pur. or 7 Yrs. certain
23,
95
14 Ditto
The Value of both Lives is equal to a 21 Dit.and is worth
Leafe for
From the Value of both Lives, viz. 11 Yrs.
Deduct the Val, of Incumbent's Life
The Remainder
11 Yrs. 9 Mon.
Purchaſe.
9 Mon. Purchaſe
5 -
5 Ditto
6
4
Ditto is the
Value of the
[Benefice in Reverſion.
3
OF
48
Hayes's New Method for
இரு
OF
FINES and REPAIRS
UPON
LEASEHOLDS
As it is cuftomary for fome People, at this Time,
to infift upon extravagant Fines for their Houfes,
I have therefore compoſed the Seven following
Tables, to fhew at Sight, how much a Year
One hundred Pounds is worth, being laid out
on a Leaſehold Eftate, for any Term of Years,
the Purchaſer's Right to the Annuity or Leaſe
becoming void at the Expiration of any limit-
ed Number of Years, valuing the Money funk
at 4, 5, 6, 7, 8, 9 and 10 per Cent. per Annum.
28:3363:0365:63028585
A
valuing Annuities upon Lives.
49
S.
d. q.
12. S. d. q.
00266 5
3 1276
83286 0
2
0 0295 17
17
Years
At 4 Cent.
Annum.
To fink 100l. it fhews how much a Year it is worth.
per Annum.
1.
Ο
1104
253 5
336 0
4 27 II
Years
per Annum.
Years
per Annum.
Years
534 11 5 2784 3 II 2
10
3 10
544 O
1. S.
d. q.
1. s.
per Annum.
d. q.
I 3514 12
60524 12
6 276 4
4
33
0774 4
1 2
5
9254 4
II 279 4
5
22 II
33305 15
81554 10
5 3804 3
80
6 19 I
6
61315 13
5 13
90564 10
O
0 08143
814 3
61
7 16 13
I
2 1325 II II 0574
9
8
14 17
4 17
10
1 0335 10
10 2 258
4
9
9 13 9
00345 8
8
8
80594
8
10
I 2 6
71355 7
2 060,4
8
7 824 3
20834 3
4
2 3
9 2844 3 I I
50854 3 O
42
11
II
10
J I
I 2 IO II I
13
3
8
3336 5
92614
8
O
0 286 4
2
10 2
Q
I 1375 4
32385
385
4
60 52 4
7
9
90874 2
3
3 30634
7
5
14
9 9
20395
2
1 2644
7
5288 4 2
I 0894 2
9 I
80
6 3
15
8
19
II
11 0405
I
c2654 6
9 3904 2
5 2
~ 2
16
8 II
80415
0
0 1664 6
6 1914 2
4 I
17
8 4
50424 19
10674 6
3 0924 2
30
18
7 18
09434 18
19 7 12
32444 17
2 0684
43694 5
6
о
0934 2
I 2
20
7 7
20454 16
62704
5
9 0944 2 0 2
6 095 4 1 11 2
I II
21
7 0464 15
5 0474 15
23
7 3484 14
22
24
25
7 2
6 18
6 14
6 11
6 8
2 1494 13
201504 13
0 297 4 I IO
4 10 2984
72744 4
72744 4 8 1994
I 8 2
I 1754 4 6 ofee 4 0 оо
H
A
9 37 4
5
3 2964 4 I 10 3
02724 5
4273 4
I 9 I
50
Hayes's New Method for
Lears
At 5 Cent. P Annum.
To fink 100l. it fhews how much a Year it is worth.
per Annum.
1. s. d.
d. q.
1105 оо
Years
per Annum.
1. s.
266 19
d. q.
Years
per Annum.
d. q.
1. s.
i 2 515 9
70525 8
7 0 525 8
3 0535
Tears
per Annum.
1.
S.
02765 2
d. q·
2 3 I
60
28
253 15
3 36 14
428
9 027 6 16
50286 14
5028 6 14
8
7 077 5
1 2785
2
2
43
4
5
4
I
50296 12
II 2306 10
02316 8
I
6 10
80326 6
5123
6 19 14
7 17
17 5
815
9
52336 5
42346 3
I 0545 7
1 1555 7
3 1565 6
70575 6
O 2
9 0795 2 2
40805
40805 2 o
11 3815
15
7 1825
1825
0 0 585 6 3 0835
60595 5 II 1845
I 3605 5 7 3855
III 2
I IO 2
I
9
9 2
9 14
14
4 234
I
8
8 2
ΙΟ
12 19
I I
12
0 0356 2
91366
1 3605 5
I
7 2
0
10 3615 5 4 2865
65
I
6 I
I 2
I I
5
01375 19
8 2625 5
9875
I
5 2
3 10 12 11 0385 18
7063
70635 4 10 1885
I
4 3
14 10 2
0 2395 17
60645 4 7 1895
I
3 3
15
9 12
8 1405 16
6 2
6 2655 4 4 1905
I
3
30
16
9 4
6 1415 15
8 0665
4
20915
I
2 I
17
8 17
4 3425 14
9 267 5
3
11 1925
I
I
I 2
18
8 11
1 0435 14
0068
0 0685 3
90935
I
I
8
5
6 0445 13,
2 2695
3
7 0945
I O
N
8
O
60455 12
60705 3
4 3955
O II 3
2 I
22
23
7 15 II 1465 II
7 II II 2475 II
7
8 3 1485 10
24 7 4 II 2495 10
2 27 2
22725 3
11 098 O IO 2
0 IO
O O
10 2715
3
2 396 5
0 II 2
0 3975
Ο ΙΙ ΟΙ
7 273 5 2
0 2745
2
25!
7
I 11 1505
Ι Ι Ι
9
6 27515 2
9 1995
8 ofee 5
0
ૉ.
At
valuing Annuities 5x
upon upon
Lives.
S.
d. q.
。
00267 14
Years
1.
At 6 Cent. P Annum.
To fink 100l. it fhews how much a Year it is worth.
per Annum.
1106
Tears
per Annum.
1. s.
Years
per Annum.
1. s.
d. q.
Years
d.
9.04
1.
s.
per Annum.
d. q.
516 6
5 1766 1
5
5 I
2 54 10
10 3277 11
5 0526
6
• 377 6
I
4 I
31
37 8
2 3 28 7
9
4
28 17
2 1297
7
5
23 14
93307
5
3 355
2 153
2 1536 5
205465 5
33556 5
8 3786
I
3 I
4 279 6
02806 I
6
I 2 2 2
II
6 20
20
6
90317
3
7 156
4
9 1816
I O
03
7 17 18
8116
3 1327
2
0 0 576
4
5382 6
1
O I
16 2
03337
O
6 358 6
4
2 2836
0
II 3
9 14 14
0
346 19
2 259 6
6
3
11 384 O II O
10 13 II
9 035 6 17
II
396 13
16 9 17 11 1416 12
6 12
17 9 10 11 0426 11
12 137 136 6 16
I 2 11 18 6 3376 15
II 5 11 2386 14
13 11
14 10 15 2
5 10 5 11 2406 12 11 2656 2 92906 ö
6073
11 360 6 3
9 0856
0
10 2
9 3616
3
60866 0
9 3
9 0626
3
3 318
7
9 I
9 063 6
3
1 1886 0
8 3
9 3646
2 II
11 2896 6 0
8 i
1 2666 272916o
18
9 8
4 343 6 10 8 0686
19
8 19
3 044 6 10
m∞ o
3 1676 2
68/6
5 2926
7 I
об
0 0696 2
N W
3 1936
936
2 0946
0 6 i
5 3
201
8 14
4 245 6 9
5070
21
8 10
22
8 6
507062
0 046 6 8 10 171
1 0476 8 3 3726 I 10 1976
о
2/95/6
5 I
I II 2966
5
4 3
2 2
23
8
2 7 0486
7 10 0736
I
24
7 19
4 2 49 6
7 3 374 6 I
25
7 16
5 3 506
6 10
375 6
7 2996
1 6 2 fee 6
M a
83986
4 2
4 I
оо
H 2
Ar
52
Hayes's New Method for
Years
S.
d. q.
1107
2 55 6
338
о с
1. S. d. q.
268 9 I 2517
1.
At 7 Cent. Annum.
To fink 100l. it ſhews how much a Year it is worth.
per Annum.
Years
per Annum.
Years
Years
per Annum.
l. s.
d.
d. q.
1. s.
per Annum.
di
d. q.
4
7. 1767
0 10 3
2 1278 6 10 252 7
4
3 277 7
0 10 I
2
I 1288 4 9 3537
4
0
0 I
0 1787
0
93
4 29 IO
5
24 7
5 2298 2 II 1547 3
9 3308 I 9 1557
9 0797 0
9
3
60807
0
8 2
6
20 18
9 3317 19
9 3317 19
7 256 7
3
3 1817 0
8
80
7
18 11
I 1327 18
I 357 7
3
2 082 70
73
8 16 14
11 2337 16 10 1587
2
10 1
2 10 1837
I 7 0
7 I
9 15 7
O
10 14 4
347 15
9 2357 14
35 7 14
7 2597
2 8 8417
6 3
5 360 7
2
5 38517
II 13 6
9 1367 13
51617 2
3386
517 0
867
62
о
60
I 2 12 II 10 0377 12
13 11 19
1119 3 3387 II
II 8
14 II
8
8 2397 10
IO 377 12
6 0627 2
I 38717
O
5 3
5 0637 2 0 088 7
Q
5 2
9 3647 I 10 3897
о
5 I
I5 10 19
о
7 1407 10
0657 I
9 1907
907 0
50
4
.00
7 243 7
9 13
61447 7
16 IO II
17 10
18
19
9 18
9047 9 9
10 2427 8 8 1677 I
4 0667 I
7 3917
4 3
∞ ∞
62927 0
4 2
8
0 3687 1
5 1937 O
4 I
6 1697 I
4 1947 0
4
N
9
8
9 345 7
7
2 I
9
4.71407
22
9
O IO 1477
23
3 17
5 1 487
7 5
24
8 14
5 2497
251
6
6
00707 I 3 1957
22967
I
I 0727 I I 1977
8 1737 1 0 2987
5 3 747 I 00997
8 II 7 315017 4 II 275170 II 2
0 11 2 fee 7 0
4
62717 I
33
3 2
0
3 2
3 I
A
At
valuing Annuities upon Lives. 53
63279
Years
7.
At 8 & Cent.
Annum.
To fink 100l. it fhews how much a Year it is worth.
per Annum.
1108
S.
d.
256 I
Years
per Annum.
d.
1. S.
9.
Years
0269 5 00518 3
211 528
Lears
5.
per Annum.
d. q.
per Annum.
1. s.
d. q.
5 2768
0
8 2
3
2 2778
0
8
8 0
3 38 16
03289
9 1
0 053
8
3
0 0788
O
7 2
4 30 3
3
10 229
10 2298 19
2 354
8 2
92798
7 I
51 25 O
II I 30 8
1 332 8
8
10
16 O
14 18
6 21 12
7 19 4
817
9 16
7 3318 16
8055
2 2
2256 8
14 II 157
O 33 8 13
2 034 8
0335 8
83588 2
17
8
2 2
8 2
2
70808
50818
23828
10838
6
3
62
6 I
60
I 2
I I
7259
7 2608
/8
I II
11 3848
O
5 3
I
10
10 0858
O
5 2
3.2
11 14 O
1 3368 10
8 10
8 2618
1
8 2868
O
5 I
12 13 5
13 12 13
5
4 337
4 337 8
9
10 262 8 I
71878
5
38/8
9
I 0638
1
6 1888
O
14 12 2
7
39/8
8
8
4 2648 I
43898
O
4 3
15 11 13 8 I
140/8
7
90658 I
33908
4 2
6 II
18 10 13
20 10 3
9 19
17 10 19 3 I 8 6
19 10 8 3 944
2 I
ΙΟ
511 34
5 11 3418 7
42
7
1 2668
I
23
23918
4 2
6
7 0678
II 3928
4 I
50438 6
0 3688
I
03938
4 I
8
5
7 2698
00948
O
4
8 3458
5
2 70 8
11 3958
о
4
8 146 8
4
9 3718
o
II 196
о
3 3
22
24
23
916
O 347
9 12 10 2 488
9 9 11 3498
о
8
4
5
50728 8
0
O 10 297
о
33
4
I 0738
10 0988
O
3
W W Ud
3
9 2748
0
93998
2
25
5
9
9 7
7 4 150/8
3
60758 0
8 3 fee 8 0 0
2
At
54
Hayes's New Method for
Lears
S.
1109
ㅇㅇ​이
​2610
1
2 56 16 10 227 9 19
At 9 Cent.
Annum.
To fink 100l. it fhews how much a Year it is worth.
per Annum.
1.
d. q·
Years
per Annum.
1.
5.
Years
per Annum.
d. q.
l. s.
Years
50769
2 2779
d. q·
per Annum.
1. s.
d. q.
51519 2
O
5 2
3 39 10
I 128 9 17
53529 2
83539 2
5 I
0 2709
78
O
50
4 30 17
4 029 9 16
I 1549 I II 0799
4 3
5 25 14
2 230 9 14
2 230 9 14
8 1559
559 I
9 1809
4 2
622 5
10 2319 13
4 2569
1
7 3 81 9
0 4 I
19 17
4 332 9 12
2 2579
I
6 182 9
4
8 18
18
1
4 133 9 I
I 3589
I
4 3839
4
9 16 13
7 134 9 10
34 9 10
2 2599
I
3
3 2849
3 3
ΙΙ
13
10 15 11
II 14 13
12 13 19
3 13 7
14 12 16
15 12
16 12 O
8
80359
35 9 9
9
I I
11 036 9
8
40609 I
63619
2 1859
3 3
I
I 186
86.9
O
3 3
3 337 9
7
10 1629 1 0 187.9
3 2
1 2
I 238 9
7
20639
3/9
O II 288 9
3 2
10 3399
6
70649 o 10
3
89/9
3 2
12 8
I 140 9
6
0 1659 0 10 0909
3 I
7 141 9
5
62669 0
9 2919
3 I
17 II 14
I 042 9
5
0 367 0
90929
3 I
18 II
8
5 143 9
4
8 1689
o
0
8 2939
19 11 3
5 344 9
4
3 2699
0
20 10 19
I 045 9
3
11 2709
O
2I
10 15
2 346 9
2 346 9
3
7 3719
0
80949 0
7 2959
7 0969 O
O
MM N
3
3
2
22 10 11
23 10 8
24 10
10 047 9
3
40729 0
6 3979
O 2
2 3
6
9 248 9
49 9
3
03739 0
6 1989
O
23
2 10 1749 0
25 10
3 7 2:50 9
272759 0
60999
5 3 fee9 0
O
2 2
оо
At
valuing Annuities upon Lives. 55
Years
per Annum.
1.
S. d. q.
1. 5. d. q.
At 10 Cent. Annum.
P
To fink 100l. it fhews how much a Year it is worth.
per Annum.
Years
Years
per Annum.
d. q.
Years
S.
1.
s.
1.
per Annum.
d. q.
ΙΙΙΟ
110 0
0 0 26 10 18
4051 10 2
037610 O
9 1
257
57 12
4 327 10
16
6 15210
I
11 277 10
0
9
3 40 4
2 32810 14 1
2 328 10 14 11 15310
10
1
1007
10 07810
4 31 3
1 02910 13
I 02910 13
5 15410
5410
I
8379 10
0
8
8 3
5
26 7
7 13010 12
205510 1
7 280 10
0
8
22 19 2 23110 II
622
7 20 10 10 03210 9 11 35710
O 5610 1
618.
618110
0
83
10 1
5 18210
5 182 10
0 8 2
8 18 14 11 03310
9
005810 I
428310
0
8 2
9 17 7 3
3 23410
8
135910
I
3 28410
0
8 2
10 16
5 60/35/10
603510
7
436010
7
436010 I
2 3 510
0
8 1
11 15
7
11 23610
6
8 2611IQ
26110
1
2 08610
0
8 1
12 14 13
13 14 I
14 13 II
15 13 2
6 33710
6
036210 1
1 28710 0
8
8 I
6 33810
5
5
6 26310
6 263 10
1
0 388
8810
0 8 1
6
603910
5
036410 1
11 34010
4 736510
0 18910
009010 0 8
0 8 1
16 12 15
7 34110
17 12 9 4 04210
4 236610 0 11 39110
о 80
II 06710 0 II 29210
Q
80
18 12
1911 19 I 044 10
3 10 3 43 10
3
926810
9 26810 0 11 19310
80
3
5 36910
5 36910 0 10 39410
0 80
20
II 14 II 245 10
3
2 27010 0 10 29510 0 8
080
2 I
II II
3 04610
10
3
22
I I 80
О
4710
23 II 5
24 II
25 11
II O
I 34810
2
7 24910
2 2
4 15010 2 227510
0 07110 O 10 19610 080
2 9 17210 0 10 09710
2 707310 o
2 437410 0
939810 0 8
9 29910 073
9 1 fee10
о о
Several
56 Hayes's New Method for
Several Examples to fhew the Ufe of the foregoing Tables.
A Fine upon a Land Leafe.
'A Gentleman grants a Renewal of a Leafe to his Te-
nant for 61 Years, upon his paying 300%. Fine, and
451. P Annum, to know what Rent the Tenant pays
a Year during the Leafe, fuppofing that his Money is worth
7 Cent. to him in his Way of Dealings.
Firſt he muſt look in the foregoing Tables for the Annuity
that 100 is worth for 61 Years certain, at 7
Cent. then
he muſt do as underneath.
1.
s. d. q.
At 7 per Cent. 100l. is worth
7
2
34 per Year for 61 Years
For 300. Fine, multiply by
3
Shews the Fine is worth
21
To which add the Rent, viz. 45
hundred Pounds
714 per Year for 61 Years
ooo a Year
I
I
Shews that the Tenant pays 66 71 per Year for his Leafe,
Another Example.
If a Carpenter, Bricklayer, &c. takes a Leafe for
61 Years, of a Piece of Ground for Building, paying 2001.
Fine, and 167. a Year Rent, valuing his Money at 8 p
Cent. it fhews the Purchaſer what his annual Rent ſtands
him in.
A t
valuing Annuities upon Lives.
57
At 8 per Cent. 100 l. is worth
Multiplied by 200l. the Fine, viz.
2
2 hundred Pounds
1.
s. d.q.
8
I
8 per Year for 61 Years
Shews the Fine is worth
16
3
To which add the Rent, viz. - 16
16
o
50 a Year for 61 Years
oo a Year
Shews that the Tenant pays 32 3
5o a Year for the Leafe.
Another for valuing the Rents of Buildings.
The foregoing Example continued. The Builder at the
Years End finiſhes his Work, and finds that the Coft of
the Buildings, Lofs of Intereft, and the Rent paid during the
Time,amounts to 1200 /. which Money he values at 8 Cent.
By the fame Tables he may eafily know the annual Rent
thefe Buildings muſt be valued at, to make his Money
again.
N. B. This Valuation muſt be made upon the Years due
in the Leafe.
At 8 per Cent. 100 l is worth-
Multiplied by the Money laid
out, viz.
Shews the Buildings ftands in
To which add the Value of
Ground Rent and Fine, viz. S
of?
1.
5. d.
8
1 10 per Year for 60 Years
CO
12 hundred Pounds
o per Year for 60 Years
97
32
3 5 per Year
Shews the Rent to let at, being 129 $5 per Year to make 8 per
I
[Cent
A
58
Hayes's New Method for
A Shopkeeper paying a Fine and the Charge of Repairs.
A Shopkeeper takes a Leafe of an Houſe for 7, 14, or
21 Years, paying 45 l. a Year Rent, and 200 /. Fine, and
lays out fool. more upon fitting his Shop up, and altering
Conveniencies to the Houſe, and would know what his
Rent ſtands him in a Year, for any of the Terms of Years
mentioned in his Leafe, he valuing his Money at 10
Cent.
At 10 per Cent. 100l. is worth for 7 Yrs.
Multiplied by the Fine & Repairs, viz.
1.
5.
d.
20 10
10 per Year
3 hund. Pounds
61 12
6 per Year
Shews the Money laid out in Fine and
Repairing, is worth
To which Sum added the Rent he pays, 45
。 。 Dit.
Shews, if he holds his Houſe no long-2 106 12 6 per Year Rent.
er than 7 Years, he pays
At 10 l. per Cent. 100l. being funk in 2
an Annuity for 14 Years, is worth
Multiplied by the Fine and Repairs,?
viz.
Shews the Money laid out on the Fine
1. S.
d.
13 11 6 per Year
3 hundred Pounds
and Repairs for 14 Years, is worth $ 40 14 6a Year
To which Sum add the annual Rent, Į
Viz.
Shews, if his Leafe is no longer than
for 14 Year, he pays
}45
o Dit.
385 14 6a Year.
03
At
caluing Annuities upon Lives. 59
At 10 l. per Cent. 100l. being funk in
an Annuity for 21 Years is worth
Multiplied by the Fine and Repairs,?
Fine?
1.
II II
Shews the Money funk in the Fine
and Repairs is worth
To which Sum add the annual Rent 45
$
Shews, if his Leafe is for 21 Years,>
he pays
d.
3 per Year
3 hundred Pounds
34 13
9 per Year
o
o Dit.
$79 13 9 Dit.
And the faid Sums are the Rents that is paid by the
Shopkeeper, befides Ward and Parish Charges. If the
aforefaid Houfe is taken for 7 Years, 14 Years, or 21 Years,
and his Money is worth to him in his Trade 10l. Cent.
P Annum.
If a Landlord abates any Rent towards Repairs.
As for Inftance; Suppoſe a Perfon, having a Liking to a
Tenement, would willingly take the fame if the Landlord
will be at the Charge of the Repairs. Now the Landlord
not caring to do that, offers this Perfon to abate him fo
much a Year in his Rent, if he will be at the Charge of Re-
pairs himſelf, and take a Leafe of the Tenement.
Now in Cafes of this Nature, for the Tenant to know how
much the Landlord allows for the Charges of Repairs, be-
fore he undertakes to do the fame.
{*-*)
The
60
Hayes's New Method for
The Rule for it is this.
Firſt find out in the Tables, from Page 28, to 36, how
many Years Purchaſe an Annuity is worth for the Term
of the Leafe: Then caft up thofe Years Purchaſe, at the
abated Rent of fo much a Year; it will thow how much
the Landlord allows for Repairs.
Value of Freebolds.
The laſt Article, on each Table, from Page 28, to 36,
fhews how many Years Purchaſe they are worth, at the
feveral Rates of Intereſt.
Value of Leafeholds.
The firſt, fifth, ninth and thirteenth Columns in the
Tables, from Page 28, to 36, fhew the Years in the Leafe,
and the other Columns fhew how many Years, &c. Pur-
chafe Leafes for thofe Terms of Years are worth.
Value of a Freehold in Reverfion.
From the Years Purchaſe that a Freehold is worth, de-
duct the Years Purchaſe the Years in effe are worth, the
Remainder is the Value of the Freehold in Reverſion.
N. B. What I mean by effe, are the Years that are good
or due in a Leafe.
Value of a Leafebold in Reverfion.
From the Years Purchaſe, being the Value of the whole
Leaſe, deduct the Years Purchaſe, being the Value of the
2
Years
valuing Annuities upon Lives.
61
Years in effe, the Remainder will be the Value of the Re
verfion.
To make good Years lapfed in a Leafe.
As for Inftance, a Perfon having but few Years to come
in a Leafehold Eſtate, would add fome more Years to it, to
make the Leaſe for a longer Time, to know the Value of the
Years taken in. Firſt find out in the Tables, from Page
28, to 36, how many Years Purchaſe the required Leafe
is worth: Then find out how many Years Purchaſe the
Years that are good in the Eſtate are worth. From the
Value of the whole, deduct the Value in effe, the Remain-
der will be the Value of the Years taken in.
Of Paying of Fines for Cathedral and College Lands.
The cuſtomary Way of letting Cathedral and College
Eftates, is upon Leafes of 21 and 40 Years, or three Lives,
paying fo many Years Purchaſe down, and one Years Rent
at the End of a certain Term of Years, viz. for a 21
Years Leafe, about 7 Years & Purchaſe, and 1 Years Rent at
the End of 7 and 14 Years; and for a Leafe of
40 Years,
about 17 Years 1 Month's Purchaſe, and paying 1 Year's
Rent, at 14 and 28 Years end; and in Order for the Purchaſer
to ſet a juſt Value upon his Tenements or Lands, have here
exhibited fome other Tables, which fhew the prefent Worth
of 100 % payable at the Expiration of any Number of Years
under 51, diſcounted at 4, 5, 6 and 7 Cent. Annum.
P P
62
Hayes's New Method for
0 28 33
Years
A Table fhewing the Decrease of 100 l.
At 4 Cent.
P
1. s. d.
196 3
292 9
388 18
Years
1.
S.
02636
Years
| Years
At 5
Cent.
1.
s. d.
1. s.
s. d.
I 2
195 4
9 26 28 2 5
127 34 13 5 2 90 14
02833 693 386 7
0 27 26 15 8
8
28 25 10 2
4/85 10
029 32 I
482 5
582
82 3 10 30 30 16
5
578 7
679 0
790 0 73129 12
775 19 113228
8173 I 433 27
970 5
I 3426
8
6
74 12
9
11 771
II 771 I
8
0867
8 67 13
6
II 964
9
234 19
5 29 24 5 II
03023
53122
22 0 8
432 20 19 9
8 33 19 19
9
8
2 9
10 67 I.I
03525 6
7 10 61
7
10 35 18
2 7
II 64 19
12 62 9
03624 7
037 23 8
III 58
9
436 17
436 17 5 3
4 12 55 13
13/60
60 I
7 4517
2
38 22 10
22 10
14157 14 103921 13
15155 10 540 20 16
41353
14 50 10
16 53 7 7841 20
20 0
1751 6 74219
7 42 19 4 II 17 43 12
1849 7 143 18 10
19 47 9
20 45 12
18 10
44 17 15 11 19 39 11
8 37 16 8 10
73815 13 2
139 14 18 3
I
4312 5
54411 13 8
+∞ 7
415 48 2
040 14 4
0 1645 16
241 13 10
7 42 12 17 8
6
118 41 II
5
4
21 43 17
22 42 3
23 40 II
24/39
O
6 646169
9 47 15 16
348 15 4
049 14 12
22037 13
021 35 17
9 45 11 2
11
422 34 3
46 10 12
8 47 10 I II
4
223 32 II
5 24 31 0
25137 10
0150114 I
2 25 29 10
715
2/48
9 12
3
1 49
9 3
I
8
4
5
A
valuing Annuities upon Lives.
63
A Table fhewing the Decrease of 100 l.
At 7p Cent.
At 6
Cent.
| Years
1. S.
s. d.
Years
1.
s. d.
Years
1.
S.
d.
Years
1.
s. d.
194 6
6
92621 19
6
192 11 10 26| 13 10
4
289 0 0 27 20 14
8
2/85 14
8 27 12 10
4
383 19 2 28 19
479 4 22918
574 14 6 30 17
670 9 11 31 16
8
630
11
2
379 7
8 28 11 II
ΙΟ
9
473 10
029
29 10 14
8
2
568
I
230
9 18
9
8
5
663 0
431
9
5
766 10
10 13215
9 10
758 7
032
8 10
4
862 14 10 33 14 12
4
854
5133
7 17
959 3 934 13 15
9
9150
6134
7
7
10 55 16
93513
01046 6
435
615
3
115213 7 36 12
5
51142 17
9136
6 5
2
12 49 13 1137 11 11
61239 14
237
5 16
13 46 17
838 10 18
51336 15
4138
5 7
4
1444 4
15 41 14
7 39 10
6
01434 0
11
II 39
4 19
5
540
9 14
51531 10
540
412
1639 7
2 41 9 3
51629 3 941
4 5
2
17137 2
742
8 13
01727
642
3 18 11
1835 0 O 743
8
3 21825
643
3 13
19 33
01144
7 13 111923
3
923
3
544 3 7
8
20 31 3
21 29 8
cow
645
7 5 22021
9
I 45 3 2
8
246
6 17
02119 17
346 2 18
22 27 7 II 47
6 9
32218 7 10 47
2 13
23 26 3 648
6 0
22317
748
2
24 24 13 II 49
5 15
02415 15
449
2 6
25 23 5 II
5 11150
5 8
625 14 12
0150
2
~ abwod
71
The
64
Hayes's New Method for
The Use of the foregoing Tables.
Year,
A Purchaſer buys a Leafehold Eſtate of 100.
articling to pay a Fine of one Year's Rent in fourteen
Years, and another Year's Rent in 28 Years, and would
know what he pays for this Purchaſe at 6
One Year's Rent 100l. to be paid in
14 Years, is worth
And one Year's Rent 100l. to be
paid in 28 Years, is worth
Added together, fhews that the
Sums articled for is worth
1. s. d.
Cent.
344 4 7 Money down
he}
19 11 2 Ditto
19
63 15 9 ready Money.
This Sum added to the firſt Coft, fhews how much the
Purchaſe ſtands the Buyer in ready Money.
Of Guardians, Orphans, &c.
It frequently happeneth, that Parents die before their
Children are at Age to receive their Fortunes in their own
Hands, and therefore the Law directs, that there ſhall be
Guardians, Truftees, or Executors affigned to manage the
fame for the Orphans, during their Nonage.
And for the Uſe of Guardians, and fuch Orphans who
do arrive at an Age to take Poffeffion of their Eſtates, I
have here prefented another Table, fhewing how much
100 1 Year will amount to, if the Payment is forborn
for any Number of Years, under 31 Years, at 5 and 6 p
Cent. & Annum, which will be greatly helpful in calcula-
ting the Arrearage of any yearly Income.
The
valuing Annuities upon Lives.
65
| Years
The Amount of 100 l. a Year, the Payment being
forborn for any Number of Tears under 31.
At 5 per Cent.
Yrs.
At 6 per Cent.
7.
S.
d.
1.
d.
I
100
100
2
205
O
2
206 O
3
315 5
3
318 7
2
4
431 0 3
4
437 9
2
5
552 II 3
5
563 14 2
6
680
3 10
6
697 10 8
7
814 4
7
839 7 8
8
954 18
2
8 989 14 II
91102 13
I
10 1257 15
9101318
91149 2 7
I
7
II 1420 13
12 1591 14
131771
7
6
7111497 3 3
3|12|1686 19 11
131888 4 3
4 1959 17
15 2157 17
3
314 2101
42101
10 I
I|I5|2327 I2
17 2584
16 2365 15
18 2813 4
19 3053 18
20 3306 11 11 20 3678 11
0162567 5
9172821
2821 5
9183090 II
0193376
9
3
O
II
21 3571 18
6 21 3999
5
5
22 3850 10
5 22 4339 4
7
23 4143 O
11 23 4699 II
8
24/4450 4
0 24 5081 II 2
25 4772 14 225 5486
5486 9
26 5111 6 11 26 5915 12
27 5466 18 3 27 6370 II
28 5840 5 2 28 6852 16
29 6232 5
30 6643 17
5 29 7363 19
930 7905 16
K
9:
6
2
7
4
The
LF
66
Hayes's New Method for
The Ufe of the foregoing Table.
A Father dies and leaves his Son, Age 16 Years, 150 l.
a Year: He being arrived at the Age of 21 Years, would
fettle with his Guardian, and take Poffeffion of the
Eſtate; the Guardian brings in an Account of 50l. a Year
ſpent one Year with another, by the Orphan, during his
Nonage. The Query is what is due to the Son.
Deduct out of 150 l. a Year, the Income of the Eſtate
50l. a Year, fpent by the Orphan
Remains
100l. a Year clear.
Now 100% a Year forborn for 5 Years, which is the
Time of the Father's dying, till the Son is at Age, amounts
to, in the Table, at 5 Cent. 5527. 11 s. 3 d. being
what is due to the Son, and is what 100%. a Year, if the
Payment is forborn for 5 Years, will arife to, at 5
P Annum, the prefent legal Intereſt.
Cent.
Examples of the Author's practical Method of teaching
Arithmetick.
N. B. The Operations in the following Calculations
are no more burthenfome to the Memory than the common
Method, and all that's needful in doing them is wrote down.
How much comes 4293 Yards to at 19 d. per Yard.
A
2
55809
Anſwer
348 l. 16 s. 1 d.
I
How
valuing Annuities upon Lives. 67
How much comes 4263 t of Coffee to, at 5 s. 8 d. per ti.
Anfwer
72471
1207%. 175.
How much comes 493 to, at 22 d. § per t.
49 6
3 1 7/1/1
Anfwer
461. 45. 4 d. 1½
How much comes 1439 of Sugar to, at 1/. 17 s. 4d.
161168
Anſwer
2686 1. 2 s. 8 d.
1.
S.
d.
[per &
To reduce 478 14
Anſwer
28727
6 Sterling, into Dutch Gilders and
[Stivers, the Exchange
[at 35 s. 6 d. 1.
426 2/
6
9574 10 o
191490 O
239 7 3
4/0)204176 4 9
5104 Gilders, 8 Stivers.
K 2
To
68
Hayes's New Method for
To know how much 4269
51228
9. t
1 15 at 5 s. 3 d. per t will
[come to ?
43
478171
10041591
The Anfwer is
125519 l. 175. 9. d.
of any Commodity
and is what
comes to at
4269 D
1 q. 15
5 s. 3 d. per ti.
In the like Manner may the Intereft for any Sum of Mo-
ney under 1000000, be caft up by the following Table, for
any Number of odd Days, at any Rate per Cent. as may
be ſeen in the following Examples.
1
A
valuing Annuities upon Lives.
69
A Short Table for Simple Intereft, from 1000000l. to 1 1. fhewing
the Interest for any Number of Days, for any Sum of Money at all
Rates.
600000 1643 16
500000 1369 | 17
400000 1095 17 9
300000 821 18
ΙΟ
IO
1.
1.
ལ
1000000 2739 | 14
6
900000 2465 | 15
800000 2191 15
700000 1917 | 16
O7H∞ma+
I
8
3
210 MAMNO
10
S. d. q. pts 2. 2. s. d.
Š |
q. pts
1. 1. s. d. q.pts
1
9
9000 2413
1 3 2
2
8000 2118
I
о о
5
7000 19 3
9
70
I I
4 4
310
NO
74
O
I
6000 16 8
8
60
31 3
5000131311
50
8
41
4000 101
2
40
2
M H
3
I 2
2 7
3000
844
2
30
2
4
I
I
2000
51 917
4
I 000
214
92
~O
2
20
∞ V N 96
I
IO
2
7
900
293
3
I
3
90000
800
2 310 O
I
I
700
600
118 4 I
11210 2
~ 00
500
I 74 3
400
I III
300
200
0165
ΟΙΟΙΙ
2
18 7ntm=
7
41 2
4
31 3
I
I
2 2
M N
I
I
MH
3
8
I
2
26
200000 547 18 10
100000 273 19
246 II
80000 219 3
70000 191 15 7
60000 164 7
50000 136 19 8
40000 109 II 9
30000 82
3 10 O
20000 54 15 IO 2
10000
27 7 II I 31
100 0 55 3
First, Multiply the Principle by the Days.
Secondly, Multiply the Product by the Rate of Intereſt.
Laftly, Cut off the two laft Figures towards the right
Hand, and thoſe that remain on the left, collect out of the
Table, and it anſwers the Queſtion.
Ex-
70
Hayes's New Method for
Example.
To know the Intereſt of 582. for 20 Days, at 5 Cent.
p Annum.
Multiply 582 1. the Principle soo-
20 No. of Days
by
Multiply 11640 the Product
by
Collect
1.
s.
d.
s. d. q. 10th.
500 I
80-0
7
437
4
4 24
2- ○
○
II 2
Int.
5 Cent. Rate Anfw. 1 11 10 3 3
P
[of Intereft
58200(out of the Table.
To know the Intereft of 1173 . for 12 Days, at 6 Cent.
1. s. d. q. Ioth.
1173 7. Prin.
12 Days
800
2 3 10 O I
40
O 2
2 I 2
4.
0 0 2 2 5
14076
6 p Ct.
844
comes to 2 6 2
2 3 8 for Anſw.
Collect 84456
To
valuing Annuities upon Lives.
71
To know the Intereft of 3761. for 26 Days, at 4 Cent.
1. s. d.
376 l. Prin.
26 Days
q. 1oths.
300-
016 5 1 4
90
I-
2256
752
4 II 0 7
026
1.1 1 507 Anſwer
9776
4 Cent.
391/04
To know the Intereſt of 214% 14 s. 6 d. for 129 Days, at
5 & P Cent. P Annum.
1.
s. d.
1.
s. d. q. 10th
214 14 6
1000-
2 14 9 2 4
129
500
I
7 43.7
20-
1932 10 6
3
25767 0.0
The Aufwer is 1.4 3 5 2
27699 10 6
5 12/2
II 09
01 38
8 being the
Intereſt
[of 214%. 14 s.
[Days, at 5
6 d. for 129
Cent.
138497 12 6
13849 15 3
1523/47 79
Ta
72
Hayes's New Method for
To know the Intereft of 346 l. 19 s. 6 d. for 364 Days, at
5 P Cent.
1. s. d.
346 19 6
364
1.
s. d. q. 10th.
6000-
16
89 28
300-
ΙΟ
0
16.5 10
0623
1387 18 0
I 24911 O O
4
0225
94%. 105. 0
0 0 2 4
126298 18 o
The Anſwer is 17
5
631494 10 0
6 0 3 0 being the
Intereſt
[of 3461. 19 s. 6 d. for 364
[Days, at 5
To know the Intereft of 832 l. 8 s. 6 d. for 155 Days, at
5 P Cent.
60 3
Cent.
1.
s. d.
1.
832 86
6000
-16
S. d. q. 10th.
8 9 2 8
155
400
I I II O o
50
4162
26
I
124863 15 0
129025 17 6
6451 29 7 6
[Days, at 5
291.75.6d. o
The Answer is 17 13
Intereſt for 832 1. 8 s.
Cent.
0 2
8 3 5
0
0 26
0
0 0 6
6 1 5 being
the
6 d. for 155
ANNU-
valuing Annuities upon Lives.
73
ROBOROKOROGORO HOHOHOHƏ HƏHƏRƏ HƏHƏR
ANNUITIES
UPON
LIFE,
Valued at one View ;
I
From 1000l. a Year, to 1 l. per Ann.
for any Age, from 30, to 73 Years,
at 4, 5, 6, 7, and 8 per Cent. per Ann.
menenenonenenen CHemen¤HOH CH¤¤¤neæenezen
E
At
}
74
Hayes's New Method for
per Ann.
1.
1.
100015543
At 4
Cent. Annum.
The Value of an Annuity upon Life, for
Age 30.
Age 31.
Age 32.
s. d. 1. S. d. 1. S. d.
Age 33.
1. S.
d.
7
115298 2 715106 7
614908 10
2
7
90013989 0
80012434 13
700 10880
600 9326 0
500 7771 13 6 7649 I
400 6217 6 10 6119 5
300 4663 。 I
413768 6
413768 6
313595 14
913417 13
2
812238 10
012085 2
011926 16
2
010708 13
910574 9
310435 19 I
3 9178 17
6 9063 16
3 7553 3
O 6042 II
6
8945 2 I
9
7454 5 I
5963 8 I
4589 8
94531 18
3
4472 II
200 3108 13
5
3059 12
6 3021
5
6
2981 14
100 1554 6
8
1529 16
3
1510 12
91490 17
90 1398 18
1376 16
7
1359 11
5 1341 15
3
80 1243
243 9
9
4
1223 17
o
1208 10
2
1192 13 7
70 1088 0 8
1070 17 4
1057 8 11
1043 II II
60 932 12
917 17 9
906 7 7
894 10
2
50 777 3
4
764 18 1
755 6 4
745 8
6
40
621 14
8
611 18 6
604 5
I
596 6
9
30 466 6
458 18 10
453 3
9
447 5
I
20
310 17
4
305 19 3
302 2
61
298
3
4
ΙΟ
155 8 8
152 19 7
151 I 3
149
I
8
139 17
9
137 13
7
135 19
I
134 3
8
124 6 II
122 7
8
120 17
119 5 4
7
108 16
O
107
8
105 14 10
104 7
2
6
93 5 2
91 15 9
90 12
9
89 9
5
77 14 4
76 9 9
75 10
7
74 10 I
4
62 3
5
61 3 10
60 8
6
59 12 8
3
46 12 7
45 17 10
45 6
4
44 14
6
2
31 I
8
30 II II
30 4
3
29 16
4
I
15 10 10
15 5 11
15
2
I
14 18
2
At
valuing Annuities upon Lives.
75
At 4 Cent. P Annum.
The Value of an Annuity upon Life, for
Age 37.
per Ann.
1.
Age 34.
1. S.
d.
Age 35.
1. s. d.
Age 36.
1. s. d.
1. s.
S. d.
1000 14719 II
214514 7
14324 13
514128 5 O
900 13247 12
113062 18
512892
4
212715 8
6
800 11775 13
700 10303 13
600 8831 14
011611 9
811459 14
911302 12
1010160
I
010027
5
4
9889 15
6
9
500 7359 15 7
400 5887 16 6
300
8708 12
7257 3 6
3
8594 16
o 8476 19
7162 6
8 7064 2
6.
5805 14 10
5729 17 4 5651 6
4415 17
4
4354 6 1
4297
I
8
0
4238 9 6
200 2943 18
3
2902 17 5
2864 18
8
2825 13
100 1471 19
I
1451
88
8 8
1432 9
4
1412 16 6
90 1324 15
1306
5 10
5 10
1289 4
5
1271 10 10
80 1177 II
31161
2 II
1145 19 5
1130 5 2
70 1030 7
3
1016 O I
1002 14
6
988 19 6
60
883 3
5
870 17 2
859 9 7
847 13 10
50
735 19
6
725 14 4
716 4 8
706 8
3
40
588 15 7
580 11
5
572 19 8
565 2 7
30
441 11 8j
435 8
7
429 14 9
423 16 11
20
294 7 91
290 5
8
286 9 10
282 II 3
IC
147 3 10
145 2 10
143 4 11
141 5
7
9
132 9
6
130 12 7
128 18 5
127 3
1
S
117 15 I
116 2 3
114 II II
113 O 6
7
103 O 8
ΙΟΙ 12
100 5 5
98 17 11
6
88 6 4
87 I 8
85 18 11
84 15 4
5
73 II II
72 11
5
7112
5
70 12
9
4
58 17 7
58 I I
57 5 11
I I
56 10
3
3
44 3 2
43 10 10
42 19 5
42 7
2
29 8 8 9
29 0
6
28 12 II
28 5
I
I/
14 14 4
14 10
3
14 6 3
14 2 6
L2
At
76
Hayes's New Method for
per Ann
At 4 P Cent. P Annum.
The Value of an Annuity upon Life, for
1.
Age 38.
1. S.
d.
1000 13901 15
Age 39.
Age 40.
Age 41.
S.. d. 1. s. d. 1. S. d.
113685 2 0I
013494 12 13279 19 6
712316 11 1012145 2 1011951 19
900 12511 II
800 11121 8
110948 I
810795 13 710623 19
700 9731
9731 4
4
7
7 9579 II
59446 4
5
9295 19 7
600 8341
8341 I o 8211 I
2 8096 15
2
7967 19 8
500 6950 17
400 5560 14
6 6842 11
0 6747 6
6639 19 9
05474 0 10 5397 16 9
5311 19 9
300 4170 10
200 2780 7
6 4105 10
7
4048 7
7
3983 19 10
02737
5
2698 18 4
2655 19 10
100 1390 3
6
1368 10
21349 9
2
1327 19 II
90
1251
1251 3
I
1231 13
I
1214 10
3
1195 3 11
80
1112
III2 2
9 1094 16
2
1079 II
4
1062 7 II
70
973 2
5957 19 I
944 12
5
929 II II
60
834 2
2
821 2 I
809 13
6
796 15 11
50
695 I
9
684 5
I
674 14
7
663 19 11
40
556 I
4
547 8
I
539 15
8
30
417 I
410 II
404 16 9
531 3 II
398711
20
278 0 8
273 14 0
269 17 10
265 II II
ΙΟ
139 0
4
136 17
134 18 11
132 15 11
9
125 2 3
123 3
3
121 9
O
119 10 4
8
112 4 4 3
109 9
7
107 19
I
106 4 9
7
97
62
95 15 10
94 9 2
92 19 2
6
83 8
82 2 2
80 19 4
79 13 7
5
69 10 2
68 8 6
67 9 5
66 7 II
4
55 12 I
54 14 9
53 19 6
3
41 14 I
41 I I
40 9 8
2 27 16
27 7 7 4
26 19 9
I
13 18
13 13 ·8
13 9 10
53 2
39 16
9
26 II 2
13 5 7
4
At
valuing Annuities upon Lives.
77
At 4 Cent. & Annum.
The Value of an Annuity upon Life, for
per Ann. Age 42.
1.
1.
S.
d.
Age 43.
1. S. d.
Age 44.
l. S.
Age 45.
d.
1. s. d.
212418 13 O
1000 13013 19
212816 19 1012629 3
900 11712 II
80010411 3
700 9109 15
600 7808 7
5
311535 5 1011366 5
410253 11 1010103
8971 17 10 8840
011176 15 8
6
기
​7 9934 18
185
8
3 8693 I I
6
II
7690 3 11 7577 9 11 7451 3 10
500 6506 19
7
6408 9 II
64089 11
6314 11
7
6209 6
6 6
400 5205 II
8
5126 15 11
5051 13
3
4967 9
2
300 3904 3 9
3845 111
3788 14 11
3725 II II
200 2602 15 10
2563 7 11
2525 16
7
2483 14 7
100 1301
1301 7 11
1281 13 11
1262 18
3
1241 17 3
90 1171
1171 5 I
1153 10 7
1136 12 6
1117 13 6
80 1041
1041 2 4
4
1025 7 2
IOIO 6
67-993 9 10
70 910 19
6
897 3 9
884 O 9
869 6 I
60
780 16 9
769 0 4
757 14 II
745 2 4
50
650 13 II
640 16 11
631 9 I
620 18 7
40
520 II
2
512 13 7
505 3 4
496 14 11
30
390 8 4
384 10
2
378 17 5
372 II 2
20 260 5 7
256 6
9
252 II 7
248 7 5
IO
130 2 9
128
3
4
126 5
9
24 3 8
9
117 2 6
115 7
113 13
3
III 154
8
104 2 2
2
102 10
8
ΙΟΙ O
7
99 6 11
7
91 I II
89 14 4
88 8
86 18 7
6
78 I
8
76 18
75 15 5
74 10 2
5
65 I 4
64 I
7
63 2 10
62 Ι Ι Ο
4
52
I
I
5 1
5
4
50 10 4
49 13 5
3
39
O IO
3 9
37 17
37 5
2
26 0
25 12
8
25 5 2
24 16 8
I
13
O
3
12 16
12 12
7
12
8
At
78
Hayes's New Method for
At 4
Cent. P Annum.
The Value of an Annuity upon Life, for
per Ann.
Age 46.
Age 47.
1.
Age 48.
7.
S. d. 7. s. d.
Age 49.
1. s. d.
1. S. d.
1000 12258 I 711987 3 011778 17
90011032 5 510788 8
800 9806 9 3 9589 14 5 9423
700 8580 13 I 8391 0 08245
600 7354 16 11 7192 5 10 7067
011496 5 5
810600 19
310346 12 10
I 7 9197 O 4
3 11 8047 7
3-11
9
6 2
6897 15 3
500 6129 O
400 4903 4 7
9
5993 II 6
5889 8
6
5748 2 8
m∞
4794 17 2
4711 IO
9
4598 10 2
300 3677 8
5
3596 2 11
3533 13
I
3448 17 7
200 2451 12
3
2397 8 7
2355 15
4
2299 5
I
ΙΟ
100 1225 16
I 1
1198 14 3
1177 17
8
1149 12 6
90 1103
1103 4 6
1078 16 10
1060 I II
1034 13
3
80 980 12 II
958 19 5
942 6 I
70
858 I 3
839 2
824 10 4
919 14
804 14 9
60
735 9 8
719 4
7
706 14 7
689 15
6
50
612 18
599 7 I
588 18 10
574 16
3
40
490 6 5
479 9 8
471 3 0
459 17
30
367 14 10
359 12 3
353 7 3
344 17
9
20
245 3
2
239 14 10
235 II
6
229 18.6
ΙΟ
122 II 7
119 17 5
9
IIO 6
5
107 17
8
117 15 9
106 O 2
114 19
103 9 9
33
3
8
98 I
3
95 17 11
94 4 7
91 19 4
7
85 16
I
83 18
2
82 9
80 9 5
6
73 IO II
71 18
5
70 13 5
68 19 6
5 61 5 9
59 18 10
58 17 10
57 9 7
4
49 0 7
47 18 11
47 2 3
45 19 9
36 15
5
35 19
2
35 6
6
8
34 9 9
2
24 Io
3
23 19 5
23 11
I
22 19 10
I 2
5
I!
II 19
8
II 15
61
II 9 II
At
valuing Annuities upon Lives.
79
At 4 Cent. P Annum.
The Value of an Annuity upon Life, fir
per Ann.
Age 50.
Age 51.
Age 52.
Age 53.
1.
1. s. d. 1.
S.
d.
2.
S.
d. 1.
S.
d.
100011289 17 811078
I
210865 13
010648 11 5
900 10160 17 10 9970 5
800 9031 18 8862 9
1
I
9779 I 19
9583 14 3
o
8692 10
5
8518 17
I
700 7902 18 4
600 6773 18 7
500 5644 18 10
400 4515 19 0
3386 19 5
300
200 2257 19 6
100 1128 19 9
7754 12 10
6646 16
7605 19
I
7453 19 II
9
6519 7 10
6389 2:
2 10
5539
5539 0
7
5432 16 6
5324
5 8
4431
4431 4
6
4346 5 2
4259 8
3323 8
4 3259 13 11
3194 1
5
2215 12
1107 16
90 1016
1016 1 9
997
I
• 6
32173 2 7
1086 II 3
2129 14
3
80
903 3 9
886 4 10
977 18
869 5 O
2
1064 17 I
958 7 5
851 17
8
70
790 5 10
775 9 9
3
760 II 10
745 7 II
60
677 7 10
664 13
8
651 18 9
638 18
3
50
564 9 10
553 18
543 5
7
532 8
6
40
451 II 10
443
2
5
434 12
6
425 18 10
30
338 13 11
332 6 10
225 15 II
221 II 2
325 19 4
217 6
6
3
319 9
212 19 5
I
ΙΟ
112 17 II
110 15
7
108 13
I
106 9
8
9
IOI 12 2
99 14
97 15
9
95 16
8
8
90
6 4
88 12
86 18
5
6
85 3
9
7
79 O 7
77 10 II
76 1 2
74 10 9
6
67 14 9
66 9 4
65 3 10
63 17 9
5
56 8 11
55 7
7 9
54 6
6
53 4 10
4
45 3 2
44 6
43 9 3
42 II IO
3
33 17 4
33 4
8
32 II II
31 18.10
2
22 II 7
22
3
I
21 14 7
2 I
5 II
II 5 9
II I
6
10 17
31
IO 12 I
II
At
80
Hayes's New Method for
*
At 4P Cent. P Annum.
The Value of an Annuity upon Life, for
1 9911 16
Age 57.
1. s. d.
19643 14 o
per Ann.
Age 54.
1.
1.
d.
S.
Age 55.
1. S. d. 1. S.
Age 56.
d.
1000 10431 II
210106 3
900 9388 8
I 9095 8
Bw
800 8345 5
of
700 7302 I 10
8084 18
7074 6
8 3 8920 13
67929 9
2 6938 5
6063 13 11 5947 2
600 6258 18 9
500 5215 15 7 5053 I 6 4955 18
1 8679 6 7
I
5 7714 19 2
9 6750 II 10
I 5786 4 5
04821 17
857 9
400 4172 12
6 4042 9 3 3964 14
8 3857
7
300 3129 9
200 2086 6 3
4
3031 16 11 2973 II
2021 4 7 1982 7
2893 2 2
4
100 1043 3 I
ΙΟΙΟ Ι2 3 991 3 8
1928 14 9
964 7 4
90
938 16
9
909 10 9
892 I 3
867 18
7
80
834 10
6
808 9 10
792 18 11
771 9 11
700 730
730 4 2
707 8 7
693 16 6
675 I 2
60
625 17 10
606 7 4
594 14
2
578 12
50
521'11 6
505
505 6 6 I
495 II
9
482 3 8
4º
417 5 3
404 4 11
II
396 9
5 385 14 11
30
312 18 11
303 3
8
297 7 I
289 6 2
20
208 12
7
202 2
5
198
4 10
192 17 5
IO
104 6
6
31
IOI I 2
99
2
4
96 8 10
9
93 17 8
90 19 о
89 4 I
86 15 10
8
83 9
80 16 II
79
5 10
7
73 0
5
70 14 10
69 7 7
77 2 II
67 10
I
6
62 II 9
60 12 8
59 9
5
57 17 2
5
52 3 I
50 10
7
49 II 2
48 4 4
4
41 14 5
40 8
39 12 11
38 11 5
3
31 5 10
30 6
4
29 14
8
2 20 17. 3
20 4
19 16
5
10 8
71
ΙΟ
2
О
9 18
2
28 18
19 5 8
9 12 10
7
At
valuing Annuities upon Lives.
81
5
per Ann.
At 4 Cent.
Annum.
The Value of an Annuity upon Life, fur
*
Age 58. Age 59.
1.
1.
S.
d. 1.
1000 9358 11
900 8422 14
S.
d. 1.
Age 60.
d.
S.
59185 I O 8801 5
3 8266 10 11 7921 3
800 7486 17 I 7348 0 10 7041 O
700 6556 19 11 6429 10
600 5615 2 10 55110
500 4689 5 8 4592 10
400 3743 8 10 3674 0
300 2807 11 5 2755 10
200 1871 14 1837 O
Age 61.
S.
d.
1.
7 8521 19 10
07669 15 10
6
6817 11 10
8 6160 17 11
7 5288 15 4
5965
7 10
5113 3 11
6 4400 12 9
4260 19 II
5 3520 10
3
3408 15 11
3 2644 7 8
2556 II II
2
1760 5
I
1704 7 II
I 00
935 17
2
918 10 I
880 2
6
852 3 11
90
842 5
5
826 13
I
792 2
3
766 19 7
80
748 13 8
734 16 I
704 2
681 15
70
655 13 11
642 19
616 I
9
596 10 9
60
561 10 3
551 2
528 17
6
511 6 4
50
468 18 6
459 5
440 I 3
426 I II
40
374 6 10
367 8
0
352 I
340 17 7
3°
280 15 I
275 II
264 8 9
255 13
2
20
187 3 5
183 14 0
176 O
6
170 8
93 11 8
91 17
88 O
9
84 4
6
82 13
3
79 4
N UJ
3
85 4 4
2
76 13 11
8
74 17 4
73
9 7
2
70 8
68 3 6
7
-65 II
4
64
5 10
61 12
2
59 13
6
56 3
46 17 10
55 2
45 18 6
2
52 17 9
51 2
7
44 O
о
42 12
2
4
37 8 8
36 14
14 9
35 4 I
34 I
3
28 I 6
27 II I
26 9 10
25 II
3
2 18 14 4
IS 7 4
17 12
17
5
I
9 7 2
9
3 8
8 16
S 10
21
M
A&
82
Hayes's New Method for
At 4 # Cent. P Annum.
The Value of an Annuity upon Life, for
Age 63.
per Ann.
Age 62.
1.
1. s. d. 1. S. d.
Age 64.
l. S. d.
Age 65
1000 8207 7
0 7900 4 2
7586 1
I
S.
57264 14 I
900 7386 12
3 7110 3
9
6827
9
800 6565 17
7 6320
3 4
6068 17
3 6538 5 4
15811 15 10
700 5745 2 11
600 4924 8 2
5530
2 11
5310 5.
0 5085 6 4
4740
2 6
4551 12
14358 16 11
500 4103 13
6 3950
2
I 3793 0
8 3632 7
400 3282 18
93160
I
8
3034 8
8
6 2905 17 11
300 2462 4 1 2370
I
200 1641 9 4 1580 0 10
I
1 3
2275 16
02179
8 5
100
820 14 8
∞p
1517 4
3
1452 18 11
790
5
758 12 I
726 9
5
90
738 13
711 O
4
682 14 11
653 16
6
80
656 II
9
632 0 4
606 17
8
581 3 7
70
574 10 3
553
3
531 0
6
508 10
7
60
492 8 9
474
3
455 3
435 17
8
50 410 7 4
395
2
379 6
363 4 8
40
328 5 10
316 0
2
303 8 10
290 II 9
30
245
246 4 4
237
I
227 II 7
217 18 10
20
164
2 I
158 0
151 14 5
145 5 10
IO
8 2
I 5
79
75 17
2
72 12 II
9
73 17
3
71
24
68
5
5
65 7 7
8
65 Is
63 4
4 0
60 13 9
58 2
4
57
9
55
6
53 2
50 17
49
49
47 8
45 10 3
43 II
9
5
41 O I
IO
39 10
37 18 7
36 6
6
5
4
32 16
7
31 12
30 6 10
29 I 2
3
24 12
5
16 8
3
23 14
15 16
22 15
I
21 15 10
15 3 5
14 10 7
8 4
I
7 18
7 II
8
7
5 3
At
valuing Annuities upon Lives.
83
At 4 # Cent. & Annum.
The Value of an Annuity upon Life for
per Arm
Age 66.
Age 67.
1.
7. S. d.
S.
1000 6936 0 5 6600 6 0
Age 68.
Age 69.
1. S. d. 1. S. d.
6255 12
7
5903 10 5
900 6242 8
800 5548 16
700 4855 4
600 4161 12
500 3468 0
400 2774 8
4 5940 5 5
45280 4 10
3 4620 4
4 3 4620 4 2
3 3960
5630
5630 I
4
5313 3 4
5004 10
I
4722 16 4
4378 18 10
4132 9 9 3
3
7
3753 7 7
3542 2 2 3
2 3300 3
0
3127 16 3
2951 15 2
2 2640 2
5
2502 5 0
2361 8
2
300 2080 16
I
1980 I
9
1876 13
9
1771
1771 I
I
200 1387 4 I 1320
I
2
1251 2
6
1180 14
I
100
693 12 이 ​660
7
625 II 3
590 7
90
624 4 10
594
6
563 0
531 6
4
80 554 17 7
528
5
500 9
472
5
5 7
70 485 10
5
462
0 5
437 17 10
413
4 II
60 416 3
2
396 O
0 4
375 6 9
354 4 2
50 346 16
33°
3
40
277 8 9
264
30
208 I 7
198 0
2 2
312 15 7
250 4 6
295 3 3 6
236
2 10
187 13 4
177 2 I
20
138 14 4
132
I
125 2
31
118 I 4
ΙΟ
69 7 2
66
62 II
59 O 8
9
62 8
59 8
56 6
53
2 7
8
55 9 9
52 16
50
Ο
0 10
47
4 6
7
48 11
46 4
43 15 9
41 6
6 5
6
1
41 12 3
39 12
37 10 8
35 8 5
}
34 13
7
33 O
31 3 6
29 10 4
4
27 14 10
26 8
25 O 5
23 12
3
20 16
I
19 16
18 15 4
17 14
2
13 17 5
13 4
4 0
12 10 2
II 16
I
6 18 8
612
6 5
5 18
о
M 2
At
84
1
Hayes's New Method for
per Ann.
1.
At 4 Cent.
Annum.
The Value of an Annuity upon Life, for
Age 71. Age 72.
Age 70.
1. S. d.
1000 5543
5543 3 0
s. d.
Age 73.
7. s. d. 1. S. d.
5100 2
2 4799 15 6 4590 19
900 4988 16 8
4590
4590 2
04319 15 10
800 4434 10 5
700 3880 4
600 3325 17 10
500 2771 II 6
4131 17 I
4080
I
9
3839 16 4
3672 15 2
3570
I
I
6
3359 16 9
3213 13 3
3060
1
4
2879 17
3
2754 II
5
2550
I
I
I
2399 17
9
2295 96
400 2217
2217 5 2
300 1662 18 11
200 1108 12 7
2040
0 10
1919 18
2
1836 7 7
1530
1530 0 8
1439 18
7
1377
5 8
1020 0 51
959 19 I
918
3 9
100
554 6
3
510 O
479 19
6
459 I IC
90
498 17 8
459
2
431 19 7
413
3 8
80 443 9
408
383 19 7
367
5 6
70
388 0
4
357
I
335 19
8
321
7 3
60
332 11
9
306 0
I
287 19 8
275 9 I
50
277 3 I
255 O
I
239 19 9
229 10 II
40 221 14 6
204
I
191 19 10
183 12 9
30
166 5 10
153 O
143 19 10
137 14 6
20
110 17 3
102 O
95 19 10
91 16 4
IO
55 8 7
51 O
47 19 II
45 18 2
9
49 17 9
45 18
43
3 11
41 6 4
8
44 6 10
40 16
38 7 11
36 14 6
7
3816
35 14
33 II II
32 2
28
6
33 5 5 2
30 12
28 15 11
27 10 10
27 14 3
25 10
23 19 11
22 19 I
4
22 3
5
20 8
19
3 1
II
18 7 3
32
16 12 7
II I 8
15
6
14 7 11
13 15 5
IO 4
9 II II
9 3 7
5 10 10
5
2
4 15 II
4 II 9
At
valuing Annuities upon Lives.
85
At 5 Cent. Annum.
The Value of an Annuity upon Life, for
per Ann.
Age 30.
Age 31.
| Age 32.
Age 33•
1.
1. s. d. 1. S.
d.
l. s.
d.
1. S. d.
100013125 8
900 11812 17
800 10500
700 9187 15
512938
512938
4
512796 2
101 2649 18 8
711644 8
011516 10
011516 10
611384 18
6
910350 11
610236 18
310119 19
O
9 9056 15
1 8957 10
o 8854 19
I
600 7875 5
500 6562 14
400 5250 3
3co 3937 12 6
200 2625 1 8
100 1312 10 10
90 1181
7762 18
2 6469 2 2
45175 5 9
3881 9 4
2587 12 10
8
7677 17
6398 I
5118 9 I
87589 19 2
5
6324 19
4
5059 19 6
3838 18 10
3794 19 7
2559 4 6
2529 19
199 9
1293 16 5
1279 12
3
1264 19 10
5
9
1164 8
9
1151 13
o
1138 9 10
ΙΟ
80 1050 0
70 918 15
8 1035
1035 I
I
I
1023 13 9
1011 19 10
ΙΟΙΙ ΙΟ
6
905 13
6
895 15
О
885 9 10
60
787 10
6776 5 10
767 15
9
758 19 11
50
656
656 5
5 5
5
646 18 2
639 16
1
I
632 9 11
40
525 0 4
517 10 6
511 16 10
505 19 11
30
393 15 3
388 2 11
383 17 10
379 9 11
20
262 10 2
258 15 3
255 18
5
252 19 II
ΙΟ
131 5 I
129 7 7
127 19 2
126 9 11
9
118 2 6
116 81
10
115 3
3
113 16 11
8
105
103 10 I
102 7
4
ΙΟΙ 3 II
91 17 6
90 II 4
89 II
6
88 10 II
78 15
77 12
7
76 15
6
75 17 11
5
65 12
64 13 II
63 19 7
63
4 11
4
52 10
51 15
51
3
39 7
38 16 3
2
26
5
O
25 17 6
38
7 9
3 8
50 II II
37 18 11
25 II 10
25 5 II
13 2
61
12 18 9
12 15 II
I 2 12 II
At
86
Hayes's New Method for
At 5 Cent. P Annum.
The Value of an Annuity upon Life, for
Age 35.
per Ann.
1.
Age 34.
1. S. d. 1. S. d. l. S.
100012511 6 312358 17
900 11260 3 711122 19 810997 13.
Age 36.
Age 37.
d. 1. S. d.
512219 12
712074 12 8
410867 3
5
80010009 I
9887 1 11 9775 14
1
700 8757 18
4
8651 4
2 8553 14 10
9659 14
8452 4 10
I
600 7506 15
6
7415 6 5
7331 15 7
7244 15 7
500 6255 13
1
6179 8 8
6109 16
3
6037 6 4
400 5004 10 6
4943 10 11
4887 17
o 4829 17
300 3753 7 9
3707 13 2
3665 17
9 3622 7 9
200 2502 5 3
2471 15 5
2443 18
6
2414 18
100 1251 2
7
1235 17 8
1221 19
3
1207 9 3
90 1126
4
1112 5 11
5 11
1099 15
1099 15
4
1086 14
4
80 1000 18 I
988 14
2
977 II
4965
965 19 4
70
875 15 11
865 2 5
855.7
5
845 4 5
60
750 13
6
741 จ 7
733 3
6
724 9
501
625 II 3
617 18 10
610 19 7
603 14 7
40
500 9
494 7
I
488 15
8
482 19 8
30
375 6
9
370 15
3
366 II
9
362 4 9
20
250 4
6
247 3 6
244 7 10
241
9 Id
IO
125 2 3
123 11 9
I22 3 II
120 14 II
9
112 12
III 4 7
109 19
6
108 13 5
8
100 I 9
98 17 5
97 15 I
96 II II
7
87 11 7
8610
85 10 8
84 10
5
75 I 4
74 3
73 6
6 4
72 8 11
62 II I
61 15 10
61 I II
60 7 5
4
.50 0 I
O IO
49 8
8
48 17
6
48 5 II
37 10 8
37 I 6
36 13 2
36 4 5
25 0
5
24 14
4
24 8.9
24 2 II
12 IO 2
12 7
12 4 4
12 I 5
At
valuing Annuities upon Lives.
87
per Ann.
Age 38.
1.
1. S. d.
Age 39.
1. 5. d.
100011903 17 211741 7
90010713
9
800 9523 I
9
7
510567 4
9393 2
At 5P Cent. P Annum.
The Value of an Annuity upon Life, for
Age 41.
S.
Age 40.
1. s. d. 1. s. d.
611608 8 1111440 5 8
910447 12 010296
5 I
0
9286 15
I 9152 4
700 8332 14 0
8218 19 3
8125 18
2 8008 4 o
600 7142 6 3
500 5951 18 7
7044 16
6
6965 I I 4 6854 3 5
5870 13
9
5804 4 5
5720
5720 2 10
400 4761 10 10
4696 11
4643 7 6
4576
4576 2
3
300 3571 3 Ι
I
3522 8
3
3482 10 8 3432 I
ة
200 2380 15
2380 15
5
2348 5
62321 13
9 2288 I
100 1190 7 8
1174
1174 2
9
1160 16 10
1144 O
90 1071 6 11
6 11
80 952 6
1056 14
1056 14
5
1944 15 2
1029 12 6
6 2
939 6
ż
928 13
6
915 4 5
70
833 5 4
821 17 II
812 11
9
800 16 4
60
714 4
7
704 9 7
696 10
I
686 8 4
50
595 3 10
587 I
4
580 8 5
572 0
3
40
4º 476 3
I
469 13 I
464 6
9
457 12
N UJ
30
357 2
3
352 4 9
348 5
5
0
343 4
2
20
238 I
6
234 16 6
232
3
3 4
228 16
ΙΟ
119 о
9
117 8
3
116 I
8
114 8
9
107
2 8
105 13
5
104 9
6
102 19 3
8
95 4
93 18
7
92 17 4
91 10 5
7
83 6
82 3
9
81 5
80 I 7
6
71 8
5
70 8 11
69 13
68 12 10
5
59 10
4
58 14 I
58 0 10
5.7 4
4
47 12
3
46 19 4
46 8
8
45 15
3
35 14
2
35 4 5
34 16 6
2
23 16
I
23 9 9
7
23 4
4
3.4 6 6 5
22 17 7
I
II 18
II 14 9
II 12
2
I I
8
9
At
88
Hayes's New Method for
At 5 Cent. Annum.
The Value of an Annuity upon Life, for
Age 45.
per Ann.
1.
1.
S.
d. 1.
Age 42. Age 43. Age 44.
S.
d.
1.
S.
d.
1. S.
d.
IOCOI1234 16
211088 14
010955
O
90010111 6 7 9979 16
6 7 9979 16
7
9859 10
3,10792 5
29713
2
O 8
800 8987 16 11
8870 19
2
8764 0
2 8633 16
I
700 7864 7 4
7762
7762 1 10
7668 10
2
600 6740 17
8
6653 4 5
6573
6573 0
7554 II
I 6475 7 I
7
500 5617 8
I
5544 7
05477 10
I
5396 2 7
400 4493 18
5
4435 9
7
4382
O
300 3370 8 10
3326 12
2
3286 10
200 2246 19 2
2217 14
9
2191
2191 O
100 1123 9
7
71108 17
1108 17
4
1095 10
I 4316 18
03237 13
0 2158 9
ol
1079 4
90 1011 2
71
997 19 7
985 19
971 6
80
898 15
8
887 I II
876 8
863 7 7
70
786 8 8
776 2 2
766 17
755 9 I
60
674 I 9
665 6 4
657 6
647 10
8
50
561 14 9
554 8 8
547 15
539 12 3
40
449 7 10
443 IO II
438 4
431 13 9
30
337
O IO
332 13
2
328 13
323 15 4
20
224 13 11
221 15
5
219 2
215 16 10
ΙΟ
112 6 I
II
110 17
8
109 II
107 18 5
9
ΙΟΙ
2 3
99 15 II
98 II 10
97 2 7
8
89 17
6
8814
2
87 12
9
86 6 9
7
78 12 10
77 12
2
76 13
8
75 10 10
6
67 8 2
66 10
7
65 14 7
64 15
5
56 3
5
55 8 10
54 15 6
53 19
2
4
44 18
9
44 7
I
43 16 4
43 3
4
3
33 14
33 5
3
32 17 3
32 7
6
22 9
4
22
3
21 18
2
2I II 8
II A 81
I I I
9
IO 19
10 15 10!
At
valuing Annuities upon Lives.
89
At 5 Cent. P Annum.
The Value of an Annuity upon Life, fir
per Ann.
1.
Age 46.
1. s. d. 1. S.
Age 47.
Age 48.
Age 49.
d.
7. S. d. l. S.
d.
1000 10677 8
110451 3
010309 5 1010086 18
900 9609 13 3
800 8541 18 6
9406 0
9 9278
7
3
3 9078 4 2
8360 18 5 8247 8
8 8069 10 4
700 7474 3 8
600 6406 8 10
7315 16
I
7216 101
7060 16
7
6270 13 10
6185 11 6
6052 2 9
90
500 5338 140
400 4270 19 3
300 3237 I 10
200 2135 9 7
100 1067 14 9
960 19 3
80 854 3 10
5225 11
5225 11 6
4180 9 2
3135 6 11
2090 4 7
1045 2 3
5154 12 11
5043 9
5043
4123 14
4
4034 15 2
3092 15
9
3026
3026 I 4
2061 17
2
2017 77
1030 18
7
1008 13 9
940 12 O
836 1 10
70
747 8 4
731 11 7
II
927 16 8
824 14 10
721 13
907 16
806 19
5
706 I 7
60
640 12 10
627 1. 4
618 II I
605 4 3
50
533 17 4
522 II I
515 9 3
504 6 10
40
427 I II
418 O II
Ο
412 7
5
4°3 9 6
30
323 14 2
313 10 8
309 5 6
302 12 I
20
213 10 11
209 O 5
206 3 8
201 14 9
ΙΟ
106 15 5
104 10 2
103 I 10
ICO 17 4
9
95
I II
94 I 2
92 15 8
90 15 7
8
85 8 4
83 12
2
82 9 5
80 13 10
7
74 14 10
73 3
I
72 3
3
70 12 I
6
64 I 3
62 14 I
61 17
I
60 10
5
5
53 7 8
52
5
I
51 10 11
50
8 8
4
42 14 2
41 16
I
3
32 7 5
3 I
7
41 4 8
30 18 6
40
6 II
32 5 2
2
21 7
I
20 18
I
10 13 6
ΙΟ 9
20 I2 4
10 6 2
20
3 5
IO I 8
N
At
90
Hayes's New Method for
At 5 Cent. Annum.
The Value of an Annuity upon Life, for
er Ann.
Age 50.
Age 51.
1.
1. S. d.
1. S.
d.
Age 52.
1. S. d.
Age 53.
1. S. d.
1000 9930 18 10
9769 17
900 8937 17
o 8792 18
9 9607 19 2 94419 II
08647 3
3 8497 6 11
II
90
800 7944 15
700 6951 13
600 5958 II
500 4965 9
400 3972 7
300 2979 5 7
200 1986 3 9
IOO 993 I IO
893 15 8
1 7815 18
2 7686 7
4 7553
3 II
26838 18
5
6725 11
2 6609 o I
O II
3
5861 18 8
5764 15
6
5664 18
5 4884 18 10
5 4884 18 10
4803 19
4803 19
7
4720 14 II
6
3907 19 1
3843 3 8
3776 II II
2930 19
4
2882 7 9
2832 9
1953 19
6
1921 II IO
1888 5 II
976 19
9
960 15 II
944 2 1
II
879 5 9
864 14 3
849 14 8
80 794 9 6
781 11 9
768 12 10
755 6 4
70
695 3 3
683 17 10
672 II I
660 18 I
60 595 17 I
586 3 10
ΙΟ
576 9 6
566 9 9
50 496 Io II
488 9 10
480 7 II
472 I 5
40
397 4 9
390 15 10
384 6 4
377 13 2
30
297 18 6
293 I II
288 4 9
283
4 IO
20
198 12
4
195 7 II
192
3
2
188 16 7
99 6 2
97 13 11
96 I 7
94 8 3
8
89 7
79 8 I
6
87 18 6
86 9 5
84 19
5
11
78 3
76 17
3
75 10 7
69 10
3
68 7 9
67 5
I
66 I
9
6
59 11
8
58 12 4
57 12 II
56 12 11
49.13
I
48 16 11
48 O 9
47 4 I
4
39 14 5
39 I 7
38 8 7
37 15 3
29 15 10
29 16 2
28 16
5
28 6 5
2
19 17
2
19 10 9
19 4
3
18 17 7
9 18 7
9 15
4
9 12
I
9 8
9
At
valuing Annuities upon Lives. 91
At 5P Cent. P Annum.
The Value of an Annuity upon Life, for
per Ann.
Age 54.
1. 1. S. d.
Age 55.
7. s. d.
Age 56.
1. S.
Age 57.
d.
7. S.
s. d.
1000 9274 13 4
900 8347 4
9106 3 2 8862 19
6
8648 12
2
0
800 7419 14 8
7284 18
700 6492 5 4
600 6564 16 0
8195 10 10 7976 13
7284 18 6 7090
6374 6 2 6204 I
5463 13 10
6
7783 15
7 7
7 6918 17
9
86054
6
5317 15
8 5189 3
3
4
500 4637 6 8
400 3709 17 4
300 3282 8
200 1854 18 8
4553 I
3642 9 3
2731 16 11
7 4431
3545 3
9
94324 6
I
2658 17 10
1821 4 7
1772 11 10
9 3459 8 10
2594 11
1729 14 5
8
100
927 9 4
910 12 3
886 5 II
864 17
2.
90
834 14 4
819 11
1
797 13 4
778 7
6
80
741 19 5
728 9 10
709
O
9
691 17
70
649 4 6
637 8 7
620 8 2
605 8
60
656 9 7
546 7 4
531 15 6
518 18 4
50
463 14 8
455 6 I
443 2 II
432 8
8 7
40
370 19 8
364 4 II
354 10 4
345 18 10
30
328 4 9
273 3 8
265 17 9
259 9 I
20
185 9 10
182 2
5
177 5 2
172 19 4
ΙΟ
92 14 II
91 I
2
88 12 7
869
8
9
83 9 5
7
8 74 3 II
64 18
81 19
72 16 11
I
79 15 4
77 16
9
70 18
69 3
9
5
63 14 10
62 0
60 19
9
6
65 12 11
· 54 12
8
53
3
51 17 9
46 7 5
45 10
7
44 6
3
43 4 10
4
37 I II
36 8
5
35 9
34 11 ΙΩ
3
32 16 5
27
6
4
26 11
25 18 10
2
18 IO II
18
4 2
17 14 6
17 5 II
9 5 5
9
2
I
8 17
༢
8 12 11
N 2
-At
92
Hayes's New Method for
At 5
Cent. P Annum.
The Value of an Annuity upon Life, for
per Ann.
Age 58.
1.
7. S. d.
Age 59.
1. S. d.
Age 60.
1. S. d.
Age 61.
1.
s. d.
1000 8418 2 8
8190 5 11
7965 19 10
7737 15 I
900 7576 6 5
7371 5 3
7169 7 10
6963 19 7
800 6734 10 1
6552 4
1 6552 4 8
6372 15 10
6190 4 I
700 5892 13 10
600 5050 17
500 4209 I
400 3367 5
300 2525 8
200 1683 12
100 841 16
5733
5733 4
4 1
5576 3 11
5416 8 7
7.4914
3 6
4779 11 11
4642 II
44095 2 11
3982 19 11
3868 17
03276.2 4
3186 7 11
3095
71
2
9 2457 I
2389 15 11
2321 5
6
61638 1 2
2
1593 3 1
1593 3 II
1547 11
II
3
819 O
7
796 II II
773 15 6
90
757 12
7
737
2 6
716 18 9
696 7 11
80
673
673 9
655 4
4
5
637 5 7
619 0 4
70
589 5 4
573 6
4
557 12 4
541 12 10
60
505 I 9
491 8 4
477 19
2
464 5 I
50
420 18
I
409 10
3398
398 5 11
386 17 9
40 336 14
6
327 12
2
318 12-9
309 10 2
30
252 1O 1O
245 14 2
238 19 7
232 2
6
2.0
168 7 3
163 16
I
159 6 4
154 15
I
IO
84 3 7
81 18
79 13 2
77 7
6
9
75 15 3
73 14
3
71 13 10
69 12 9
8
67 6 10
65 10 5
63 14 6
61 18
7
58 18 6
57 6 7
55 15
2
54 3 3
6
50 10 2
49 2 10
47 15 II
46 8 6
42 I 9
40 19
39 16 7
38 13 9
4
33 13
5
32 15
2
31 17 3
30 19
3
25 5 I
24 II 5
23 17 11
23 4 3
2
16 16 8
16 7
7
15 18 7
15 9 9
6
I
8 8 4
8
3
9
719
3
7 14 9
At
valuing Annuities upon Lives.
93
Age 63.
S.
d.
1.
7220 11
II
At 5 Cent.
Annum.
The Value of an Annuity upon Life, for.
perAnn. Age 62.
1. 1.
1000 7476 8 7
6956 18 2 6685 4 3
Age 64.
Age 65.
7.
s. d.
S.
d.
1.
S.
d.
900 6728 15 9
800 5981 2 11
6498 9 10
6261 4 4
4 6016 13 10
5776 8 9
5565 10
7 5348 3
5
700 5233 10 0
600 4485 17 2
500 3738 4 3
400 2990 II
300 2242 18 7
5054 7
4332 6 7
8
4869 16
9 4679 13
4174 2 II
40II
4011 2
7
5
3610 5
2888 4
2166 3
6
3478 9
I
3342 12
I
4
2782 15 3
2674
I 8
3 2087 I 5
2005 II 3
200 1495
1495 5 8
100
1444 2 21391 7
722 I I
747 12 10
7
1337 O 10
695 13 9
668 10 5
90
672 17 6
649 16 11
626 2
5
601 13 4
80
598 2 3
577 12 10
556 11
534 16 4
70
523 7 O
505 8 9
486 19
8
467 19 3
60
448 II
8
433 4 7
417 8 3
401 2
3
50
373 16 5
361 O 6
347 16 10
334 5
2
40
299 I I
288 16
5
278 3 6
267 8
2
30
224 5 10
216 12
3
208 14
I
200 II
I
20
149 10
6
144 8
2
139 2
9
133 14
I
IO
74 15
3
72 4
1
69 II
4
66 17
9
67 5
9
64 19
8
62 12
2
60 3 4
8
59 16 2
57 15 3
55 13
I
53 9 7
7
52
68
50 10 10
48 13 11
46 15 11
44 17 Ι
43 6
5
41 14 9
40 2 2
37 7 7
36 2
34 15
8
33 8 6
4
29 18
28 17 7
27 16 4
26 14 9
3
22
8
7
2
14 19
21 13
14 8 9
2
20 17
4
13 18
3
7 9
6
7
4
4
6 19
20 I
13 7 4
6 13 8
At
94
Hayes's New Method for
At 5 Cent. P Annum.
The Value of an Annuity upon Life, for
per Ann.
Age 66.
Age 67.
Age 68.
1.
7. S. d.
1. S. d.
Age 69.
1.
2. S.
d. 1. S. d.
1000 6405 3
6405 3 3
6116 19
5
5818 17
05511 II
9
900 5764 12 11 5505 15
6
5236 16
7 4960 8
7
800 5124
5124 2 7 4893 II
7
4654 19
2 4409 5
5
4
700 4483 12 3 4231 17
600 3843. I II 3670
500 3202 II
400 2562 I 32446 15
300 1921 10
7 4073 I
9 3858
2
3
8 3491 4
4 3306 19
7 3058
9
8 2909 8
6 2755 15 10
11 1835
1 10
9 2327 9
1745 12
7 2204 12 8
21653 9 6
200 1281 0
71223 7 10
1163 14
9 1102
1102 6 4
100
640 10
3
611 13 11
581 17
551 3 2
90
576 9
3
550 II
6
523 13
7
496 O IO
80
512 8
3
31
489
489 7 I
465
9 11
440 18
6
70
448 7
2
428 3 8
407 6 2
385 16 2
60
384 6
2
367 0 4
349 2 5
330 13 10
•50
320 5
I
305 16 11
290 18 10
275 II 7
40
256 4
I
244 13 6
232 14 11
30 192 3
20
128 2
183 10 2
122 6 6 9
174 II
116 7 5
2
220 9 3
165 6 11
I10
4 7
ΙΟ
64 I
O
61 3 4
58 3 9.
55 2
3
9
57 12 11
55 I
I
52 7 4
49 12 I
8
51 4
4
9
48 18
8
46 10 II
7
44 16
8
6
38 8
42 16 4
7
36 14
40 14 7
34 18 2
5
32 0
6
30 11 8
29 I IO
4
25 12
4
24 9 4
23 5 5
27
19 4
12 16
3
18 7
17 9 I
2
I 2
4 8
II 12
8
44 I IO
38 11
7
4
33 I
27 II Ι
22 O II
10 8
II O
5
6 8
I
6
2 4
5. 16 4
5 10
2
At
valuing Annuities upon Lives.
95
S.
d.
1.
At 5 Cent.
Annum.
The Value of an Annuity upon Life, for
per Ann. Age 70.
1 1.
1000 5194 14 4
4797 18 9 4533 I
Age 71.
Age 72.
Age 73.
S.
d.
1.
S.
d. l.
S.
d.
10, 4353
3 5
900 4675 4 11
800 4155 15 5
700 3636 6
600 3116 16 7
4318
3838
2 10 4079 15
7 03626 9
7 3917 17
I
5 3482 10 9
O
3358 11
13173 3
33047 4.5
2878 15
3
2719 17
I
2611 18
90
500 2597 7 2
400 2077 17 8
300 1558 8 3
200 1038 18 10
100 519 9 5
467 10
2398 19
4
2266 10 II
2176 11
8
1919 3
1439 7
6
1813 4 8
1741 5 4
7
1359 18
6
1305 19
959 II 9
906 12
4
870 12
8
479 15 10
453 6
4
435 6 4
5
431 16
3
407 19
6
391 15 8
80
415 II 6
383 16 8
362 12 11
348 5
70
363 12
7
335 17
I
317 6 3
304 14 5
60 311 13 7
287 17 6
271 19
8
261 3
3 9
50
259 14 8
239 17 II
226 13
217 13 2
40
207 15
9
191 18 4
181 6
5
174 2 6
30
155 16 9
143 18
9
135 19 10
130 II 10
20
103 17 10
95 19 2
90 13 2
87 I 3
ΙΟ
51 18 11
47 19
7
45 6
7
43 10
7
9
46 15
43 3
7
40 15 11
39 3 6
8
41 II I
38 7 8
36 5
3
34 16
7
367 3
33 II 9
31 14 7
30 9 5
6
31 3 4
28 15 9
27 3 II
26 2 4
5
25 19 5
23 199
22 13 3
21 15 3
4
20 15
6
19
3 10
18 2 7
17
8 8 3
3
15.11 8
14 7 10
13 11 II
13
I
2
10 7
9
9 II II
9 I
3
S 14
I
I
5 3 10
* 4 15 II
4 IO
7
4 7
At
96
Hayes's New Method for
ser Ann]
1.
At 6 Cent. P Annum.
The Value of an Annuity upon Life, for
Age 31. Age 32.
Age 30.
1. S. d. 1. S.
100011276 9 811129 10
Age 33.
d. 7. S. d.
1.
S.
d.
811021 II
210909
4 9
900 10148 16
810016 II
800 9021 3
8
8903 12
7 9919 8 5 9818
78817 4 11
6 3
8727
7 9
700 7893 10
9
9
7790 13
7790 13
6
7715
7715 1 10
7636 9 3
600 6765 17 9
6677 14
5
6612 18
6
6545 10 10
500 5638 4 10
5564 15
4
5510 15
7
5454 12 4
400 4510 11 10
300 3382 18 10
4451 16
3
4408 12
5
4363 13 10
3338 17
2
3306 9
3
3272 15 5
200 2255 5 II
100 1127 12 II
90 1014 17 8
2225 18
I
22046
2
2181 16 II
1112 19
1102 3 I
1090 18 5
1001 13
I
991 18 10
981 16 7
80
902 2
2 4
890 7 3
881 14 5
872 14 9
70
789 7
779 I 41
771 10 2
763 12 11
60
676 11
9
667 15 5
661 5 10
654 II I
50
563 16 5
556 9
6
551 1 6
545 9
2
40
451 I 2
445 3
7
440 17
2
436 7
4
30
338 5 10
333 17
8
330 12 11
327 5 5
6
20
225 10 7
222 II
9
220 8 7
218 3
8
IO
112 15 3
III
5 10
I10 4 3
109
I IO
9
ΙΟΙ 9 8
100 3 3
99
3 10
98
3 7
8
90 4
89 0 8
88 3
3 5
87
5
5
7
78 18 9
77 18 1
77
3
76 7 3
6
67 13
2
66 15
6
66 2
7
65 9 I
56 7 7
55 12 11
55
2 I
54 10 II
4
45 2 I
44 10
4
44
I
8
43 12 8
33 16 7
33 7
9
33
I 3
32 14 6
2
22 11
O
22
5
2
22 O IO
21 16 4
I
I I
5
6
I I
2 7
I I
O 5
10 18
2
At
valuing Annuities upon Lives.
97
At 6 Cent. P Annum.
The Value of an Annuity upon Life, for
per Ann
1.
Age 34.
7. s.
Age 35.
d. 1.
d.
Si
Age 36.
1. s. d.
Age 37.
1. S.
d.
1000 10803 13
910686 7
210578 5
410467 13 9
900 9723
6
5 9617 14 6
9520
9520 8
8
9 9420 18
5
800 8642 19
700 7562 II
o 8549 I
9
8
7480 9
8462 12
07404 15
3 8374 3
4 7327 7 8
600 6482 4 3
6411 16
4 6346 19
2
6280 12 3
500 5401 16 10
5343 3
5343 3
7 5289
7 5289
2
8 5233 16 10
400 4321 9
6
4274 10
ΙΟ
24231
6
I
4187 I 6
300 3241
3241 2
I
3205 18
2 3173 9
7
3140 6
I
200 2160 14 9
2137 5
I
2115 13 0
2093 10
9
100 1080 7 4 1068 12
6
1057 16
6 1046 15
4
90 972
6 7
961 15
5
952 → IO
942 I IO
80
864 5 10
854 18
2
846 5 5 2
837 8
3
70
756 5 2
748 0 10
740 96
732 14 9
60
648 4 5
641 3 7
634 13 11
628 I 2
50
540 3 8
534 6 4
528 18 3
523 7 7 8
40
432 2 II
427 9
423
2 7
418 14
30
324
2 2
320 II 9
317 6 11
314 O
7
20
216 I
5
213 14
6
211 II 3
209 7
10
108
8
106 17
3
105 15
7
104 13
9
97
4
7
96 3
6
95 4
I
94 4 2
8
86 8
7
85 9
9
84 12
6
83 14 9
7
75 12
6
74 16
I
74 O II
73 5 5
6
64 16
5
64 2
4
63 9 4
62 16 I
5
54 0
4
53 8
7
1
52 17 9
52 6 69
4
3
43 4 3
32 8 2
42 14 10
42 6
31-
32
1
2
31 14 8
41 17 4
31 8
2
21 12
I
21 7
5
I
10 16
10
10 13
8
21 3 I
IO II
2018 8
6
ΙΟ 9 41
At
98
Hayes's New Method for
per Ann.
At 6 Cent. P Annum.
The Value of an Annuity upon Life, for
Age 38.
Age 39.
1. 1. s. d. 1. S. d.
100010334 17 610209
Age 40.
l. S. d.
Age 41.
1. S.
d.
6 1010109 12
7 9979 6 11
900 9301 7 9 9188
800 8267 18 0 8167 9
8
1
9098 13
4 8981 8
8 2
5
8087 14
07983 9 6
700 7234 8
2
7146 10
9
7076 14
10
6985 10 10
600 6200 18
6
6125 12
0
6065 15
7
5987 12
I
500 5167 8
9
5104 13
5
5054 16
3
4989 13 I
400 4133 19
04083 14
8
4043 17
o
3991 14 9
300 3100 9
3
3062 16 0
3032 17
9
2993 16
200 2066 19
6
2041 17 4
2021 18
6
1995 17 4
100 1033 9
9
1020 18 8
1010 19
3
90
930 2
9
918 16 9
909 17
4
997 18 8
898 2 9
+∞
80
826 15 9
816 14 11
808 15
4
798
6 11
70
723
723 8
9
714 13
707 13
5
698 II I
60
620 I IO
612 II 2
606 II
6
598 15 2
50
516 14 10
510 9 4
9 4
505 9
7
498 19 3
40
413 7 10
408 7 5
404 7 8
399 3 5
30
310 0 II
306 5.7
303 5 9
299 7 7
20
206 13 11
204 3 8
202 3 10
199 II 8
ΙΟ
103 6 11
102 I 10
9
93 O ၁ 3
91 17 8
8
82 13 11
81 13 5
IOI
90 19
80 17 6
I II
99 15 10
8
89 16 3
79 16 8
7
72 61
71 9
3
70 15 4
69 17
I
6
62 O 2
61 5
I
60 13
I
59 17 6
5
51 13 5
51 O II
50 10 11
49 17 II
4
41
6
6
9
40 16
8
40 8 9
39 18 4
3
31 0
30 12
6
30 6 6
29 18 9
2 20 13 4
20 8 8 4
20
4
4
19 19 2
I IO 6 81
ΙΟ
IO 4
2
10 2 2
9 19
7
At
I
1
valuing Annuities upon Lives.
99
At 6 Cent. P Annum.
The Value of an Annuity upon Life, for
per Ann.
1.
Age 42.
1. s. d. 1. S.
Age 43.
d.
4
Age 44.
}. S. d.
Age 45.
1.
S. d.
1000 9816 9 11
9646 15
0 9605 11 7
9480 4 3
900 8834 16 10 8682
8682
I
5 8645 0 5
8532 3 10
800 7853 3 10
7717
8
07684 9 3
7584 3 4
700 6871 10 10
600 5889 17 11
500 4908 4 11
400 3926 II 11
300 2944 18 11
200 1963 5 11
100 981 12 11
90 883 9 8
80 785 6 7
6752 14
5
6723 18
1
6636
3
5788
5788 I
5763 6 8
5688 2 6
I
4823 7
6
4802 15
9
4740
2
II
3858 14
of
3842 4
7
3792
I 8
H CO
2894 0
6
2881 13
4
4
2844
2844 3 3
1929 7 0
1921 2
3
1896 o Io
IO
964 13
6
960 II I
948 o
868 4
I
864 10
O
771 14 9
768 8 11
853 4 4
758 8 4
70 687 3
I
675 5
5
67279
663 12
60 588 19
588 19 9
578 16
I
576 6 8
568 16
3
50
490 16
5
482 6
9
480 5 6
474
3 M 2
40
392 13 2
385 17 4
30 294 9 10
289 8
384 4
288 3 4
5
379 4
2
284 8
201
196 6 7
192 18 8
192
2 2
189 12
3 M
I
ΙΟ
98
3 3
96 9 4
9
88
6 I
II
86 16
4
96 I
86 9 O
94 16
85 6
5
8
78 10 7
77 3
51
*76 16 10
75 16 10
7
68 14 3
67 10
6
67 4 9
66 7 2
6
58 17 11
57 17 7
57 12 8
56 17 7
5
49 I 7
48 4
8
48
47 8
4
39 5 3
38 11
II 8
38 8 5
37 18
5
3
29 8 11
28 18
9
28 16
4
28 8
2
19 12
7
19 5 10
19 4
2
18 19
2
9 16
3
9 12 II
9 12
I
9 9 7
O 2
At
100
Hayes's New Method for
C
er Ann.
1.
1
At 6 Cent. P Annum.
The Value of an Annuity upon Life, for
Age 47•
Age 46.
1. S. d. ፈ s. d.
Age 48.
Age 49.
S. d.
1. S. d.
1000 9397 0
900 8457 6
7 9215 15 11
9010 16 11
8930 15 9
7 8294 4
4
8109 15
2
8037 14
2
800 7517 12
700 6577 18
6 7372 12 9
7208 13
6
7144 12
7
5 6451
56451
I 1
6307 11
10
6251 11 O
600 5638 4
500 4698 10
400 3758 16
4 5529 9 7
5406 10
I
5358 9 5.
3
3
300 2819 2
2
4607 17 11 4505 8
3686 6 43604 6
2764 19 9 2703
5
4465 7 10
9 3572
3572
6 6 3
5
0 2689 4 8
200 1879 8
1843 3 2 1802
3
4
1786 3
100 939 14
o
921 II 7
901 1 8
90
845 14 7
829 8 5
810 19 6
893 I 6
803 15
5
80
75! 15 3
737 5
3
720 17 4
714 9 3
70
657 15 10
645 2 2
630 15 2
625 3 I
60
563 16 5
552 18 11
540 13 O
535 16 11
50
469 17
460 159
450 IQ 10
446 10 9
*
40
375 17 7
7
368 12 7
360 8
8
357 4 7
39
281 18 2
276 9 11
270 6 6
268 18 5
20
187 18
9
184 6 3
180 4 4
4 4
10
93 19 4
92 3 I
90 2 2
178 12 3
89 6 6
00.6
84 II 5
82 18 10
81
I II
80 7
6
75 3
65 15 7
6
73 14 6
72 1
8
71 8 11
64 19
2
63
I 6
62 10 3
6
56 7 7
55 5 10
54
I 3
53 11 8
46 19 8
46 I 6
45
Į
44 7
4
37 II 9
36 17
3
36
O IO
35 14 5
2
28 3
18 15 10
9 7 II
97
3 9
27 12 II
27 0 7
26 17 10
18 8
7
18
5
9 4 31
9 0
2
17 17 2
8 18 7
At
valuing Annuities upon Lives.
ior
At 6 Cent.
Annum.
The Value of an Annuity upon Life, for
per Ann.
Age 50.
Age 51.
Age 52.
Age 53.
1.
1.
s. d.
1.
d.
S.
1. s, d
1. S. do
1000 8811 7 3
8687 7 11
8562 11 11
8433 13 6
900 7930 4 7
7818 13
I
7706 6 8
7590
6 2
800 7049
7049 10
1 10
700 6167 19 1
6949 18
36850
6850 I 6
6746 18 lo
6081 3
65993 16 3
5903 II
5
600 5286 16
4
5212 8
9 11
500 4405 13 7
4343 13 11
400 3524 10 II
300 2643 8
5137 III 5060 4
4281 5 11
4216 16 9
3474 19 I 3425 O 9 3373 9 5
2
2606 4
4 2568 15 6 2530 2
200 1762 5
5
1737 9
6
190 881 2
8
868 14 9
1712 10
856 5 2
4
1686 14 8
843 7 4
90 793 0 5
781 17 3
770 12
8
759 O 7
80 704 18 2
694 199
685 0
674 13 10
70 616 15 10
608 2 4
599 7
7
590 7
60 528 13 7
50
440 II
4
40 352 9 I
30 264 6 9
521 4
434 7 4
4 19
513 15
I
506 0
4
428
428 2 7
421 13
8
347 9 10
342 10
O
337
6 II
260 12 5
256 17
6
253
O
2
20
176 4 6
173 14 11
171 5
168 13
5
ΙΟ
88 2 3
86 17 5
85 12
84 6
8
9
79 6
78 3 3
8
77 I 3
75 18
8
70 9 9
69 9 II
68 10
67 9 4
7
61 13 7
60 16
2
59 18 9
59
O 8
6
52 17 4
52 2
5
51 7 6
50 12
5
44 I I
43 8 10
42 16 3
42 3 4
4
35 4 10
34 14 11
34 5
3
26 8
8
26 I 2
25 13 9
33 14
25 6
2
17 12
5
17 7 5
17 2 6
16 17 4
I
8 16
2
8 13
8
8 II
3
8 8 8
At
102
Hayes's New Method for
per inn.
1.
At 6 P Cent. P Annum.
The Value of an Annuity upon Life, for
·Age 54.
1. S.
Age 55.
Age 56.
d. 1. s. d. 1. S. d.
1000 8304 6 68173
6 68173
Age 57
1. S.
d.
6 11 7975
II
0
4 7802 3
5
900 7473 17
10 7356
2 7177 10
800 6643 9 2 65.38 13
700 5813 0
600 4982 II II 4904
500 4152 3
7 3269 6
400 3321 14
300 2491 5 II
200 1660 17 3
100 830 8
90 747 7 9
80 664 7
4
7021 19 I
66380
3
6241 14
9
7 5721 6
8 5582 10
3
5461 10 5
I 4785 0
4681 6
34086 13
5 3987 10
2
3901 1 8
9 3190
I
3120 17 4
2452 0
02392 10
I
2340 13
1634 13
4
1595 0
Q
1560
1560 8 8
7
817 6 8
797 10
780 4 4
735 12
717 15
653 17 4
638
702 3 10
624 3 5
70 581 6
572 2 8
558 5
546 3
60
498 5 2
490 8 0
478 10
468
2
7
50
415
415 4 3
408 13
40
332 3 5
326 18 8
+8
4
398 15
390
2
319 0
312
I
8
2 ∞
30
249 2
7
245 4 o
239 5
234
I
3
20
166 · I 8
163 9 3
159 10
156
O IO
83 0 10
81 14 7
79 15
78
O
5
9
74 14 9
73 II 2
71 15
70 4 4
8
66 8 8
65 7 8
63 16
62 8
4
7 58 2
7
57 4 3
55 16
6
54 12
6
49 16
6
49 O 9
47 17
46 16
3
5
4I IO
5
40 17 4
39 17
39 O
4 33 4 4
32 13 10
31 18
31 4
2
MM N' N
3
2
3
24 18
3
24 10 4 23 18
6
23 8 I
2
16 12 2
16
6 11
15 19
15 12
I
I
8 6
I
8
3 5
7 19
6
7 16
O
!
At
valuing Annuities upon Lives.
103
At 6p Cent. P Annum.
The Value of an Annuity upon Life, for
per Ann.
Age 58.
1.
1. s. d.
Age 59.
1. s. d.
Age 60.
1. s. d.
8
1000 7614 6
900 6852 18
800 6091 9 9
700 5330 O
600 4568 12
7428 14 9 7245 I
06685 17 3 6520
45942 19 10 5796
85200 2 4 5071 10
Age 61.
1. S. d.
0 7057 11
2 0
9
6351 16 7
0 10 5646 i
4457 4 10 4347 O
3714 7 4
I 4
9 4940 6
84234 II
2
500 3807 3
4
3622 10
400 3045 14
300 2284 6
8
2971
2971 9 11
2898 o
6 3528 15 10
52823
8
o
2228 12 5
2173 10
4 2117 5
6
200 1522 17 4
1485 14 11
1449 о 2
1411 10
41
100
761 8 8
742 17 5
724 10 I
705 15
2
90
685 5 9
668 11 8
652 0 2
635 3
7
80 609 2 II
594 5 II
579 12
564 12
I
70
533 O
520 0 2
507 3
494 O 7
60
456 17 2
445 14 5
434 14
423 9 I
50
380 14 4
371 8 10
362 5
352 17 7
40
304 II 5
297 2 II
289 16
282 6
30
228 8 7
222 17
217
7
211 14
20 152 5
8
148 11
5
144 18
141 3
10
76 2 I
IO
74 5 8
72 9
70 II
9
68 19
6
66 17
2
65 4 0
63 10
4
8
60 18 3 59 8 7
57 19 2
56 9 2
7
6
53 6
45 13 8
O
52
50 14 3
49 8-
44 II
5
43 9 4
42
6 10
5
38 I
5.
37 2 10
36 4 6
35 5 5 9
4
30 9 I
29 14 3
28 19 7
28
4 7
3
22 16 10
22 5
5
8
21 14 8
21 3
5
2
15 4 6
14 17 I
14 9
9 9
14 2
3
7 12
3
7
8
8 61
7
4 IO
7 I
I
At
104
Hayes's New Method for
3975 o
3312 10
2650 O
1987 10
1325 0
100
683 19 10
662 10
per Ann.
At 6 Cent. Annum.
The Value of an Annuity upon Life, for
Age 64.
Age 62.
Age 63.
1. 1. S. d. 1. s. d. l. S. d.
4637 10
1000 6839 18 5 6625 0
900 6155 18 7 5962 10
800 5471 18 9 5300 0
700 4787 18 11
600 4103 19 o
500 3419 19 2
400 2735 19 4
300 2051 19 6
200 1367 19 8
Age 65.
1. s. d.
06402 15 4 6172 2 9
0 5762 9 10 5554 18 5
0 5122 4 3 4937 14 0
04481 18 9 4320 9 II
1920 167 1851 12 9
1280 II 0 1234 8 6
o 640 5 6 617
4 3
3841 13
2 3703 5 5 7
0
3201 7
8 3086 I 4
O
2561 2
I 2468 17
o
o
90
615 11 10
596 5
576 4 11
555 9 10
80 547 3 10
530 O
512 4 5
4 5
493 15 4
70
478 15 10
463 15
448 3 10
432 O II
60
410 7 10
397 10
384 3 3
3 3
370 6 6 6
50
341 19 11
331 5
320 2 9
308 12
I
40 273 II II
265 O
256 2
2
246 17
8
30 205 3 II
198 15
192 I
7
185 3 3
20
136 15 11
132 10
128
I
I
123
8.10
ΙΟ
68 7 II
66 5
64 0
6
61 14 5
9
61 11 2
59 12
57 4 5
55 10 11
8
54 14
4
53 0
51 4 5
49 7 6
7
47 17 7
46 7
6
6
41
9
39 15
44 16 4
38 8
43 4
3
37 0 7
5
34 3 II
33 2 6
32
O
3
30 17 2
4
27 7 2
26 10
25 12
2
3
20 IO
4
19 17 6
19 4
I
24 13 9
18 10 3
2
13 13
7
13 5
O
12 16
I
I 2
6 10
I
6 16
9
6 12 6
6 8 o
6 3
3
5
At
valuing Annuities upon Lives.
105
At 6 Cent. P Annum.
The Value of an Annuity upon Life, for
per Ann
Age 66.
Age 67.
1.
1. s. d.
l. S. d.
Age 68.
1. S. d.
Age 69.
s. d.
1000 5932 14
5684 10 7 5425 13
5
900 5339 8 7
I
800 4746 3 2
700 4152 17 10
5116
4547 12 5 4340 10
64883 2
5157 6 6
14641 11 10
I
9 4125 17 2
3979 3
5
3797 19
5 3610 2 7
600 3559 12
5 3410 14
4
3255 8
03094 7 II
500 2966 7
이
​of 2842 5
5
3
2712 16
8 2578 13 3
I
400 2373
300 1779 16 2 1705 7
200 1186 10 9 1136 18
7 2273 16 2
2170 5
4 2062 18
7
2
1627 14
of 1547 3 II
I
1085 2
8
1031 9 9 3
ΙΟΟ 593 5 4
4
568
9
O
542 II
4
515 14 7
90
533 18 10
511 12
I
488 6 2
464 3
2
80
474 12
3
454 15
2
434 I
412 11
8
70
415 5
9
397 18 4
379 15 II
361 O
3
60
355 19
2341 I 5
325 10
9
309 8
9
5.0
296 12
8
284 4 6
271 5
8
257 16 3
40
237 6
227 7 7
217 O
6
206 5 10
30
177 19 7
170 10 8
162 15 4
154 14 4
20
118 13
113 13 9
108 10 3
103 2 11
ΤΟ
59 6 6
56 16 10
54 5 I
51 II
5:
9
53 7 10
51 3
2
48 16 7
46 8 3
8
47 9
2
45 9
6
43 8 I
41 5
7
41 10
6
39 15 10
37 19
7
36
2
6
35 II II
34 2 I
32 11
о
5
29 13 3
28 85
27 2
:
4
23 14 7
22 14 9
21 14
30 18 10
25 15 7
20 12
7
3
17 15 11
17 I
16 5
15 9 5
2
11 17 3
II 7 4
10 17
10
6
3
I
5 18
7
5 13 8
5 8
6
5.3
I
P
At
106
1
Hayes's New Method for
At 6 Cent. P Annum.
The Value of an Annuity upon Life, for
per Ann.
Age 70.
1.
1.
S.~ d.
Age 71.
1. s. d. 1. S.
Age 72.
a
Age 73.
1. S.
d.
1000 4877 18
0 4521 12 11 4287 17
74133 5
8
900 4390 2
2 4069
9
8 3859
1
10 3719 19 I
800 3902 6
5 3617
6
4 3430
6
3306 12
6
700 3414 10
기
​7 3165
3
0 3001 10
3
2893 6
600 2926 14
10 2712 19 9 2572 14
6
2479 19 5
500 2438 19
02260 165 2143 18
9
2066 12 10
400 1951 3
2 1808 13 2 1715 3
0
1653 6 3
300 1463 7
5
1356 9 10
1286 7
3
1239 19 8
200 975 II 7
904 6 7
857 11
6
826 13
I
100
487 15 9
452 3 3
428 15
9
413 6 6
90
439 O
2
406 18 11
385 18
2
371 19 10
80
390 4 7 361 14
7
343 O 7
330 13 3
70
341 9 O
316 10
31
300 3
289 6 7
60
292 13 5
27 I
5
I I
257 5
5 5
247 19 II
50
243 17 10
226 I
7
214 7 10
206 13 3
40 195 2 3
180 17 3
171 10
30
146 6 8
135 12 II
128 12
3∞
165 6 7
8
123 19 11
20
97 11 I
90 8 8
7
85 15
I
82 13 3
48 15
6
45 4 3
42 17
6
41
6 7
9
43 15 6
40 13 10
38
I I
9
37
3 II
8
39
5
36 3 5
34 6
O
33 I 3
7
34 2 10
31 13
Ο
30
O
3
28 18 7
6
29 5 5 4
27 2 7
25 14
24 15 II
24
79
22 12
21 8
9
20 13 3
4
19 10
2
18 1
8
17 3
16 10 7
3
14 12
8
13 II
3
12 7
3
I 2
7 11
2
9 15
I
9 0 IC
8 II
6
8
5
3
H
4 7
6
4 10
51
4 5
4
2
7
At
valuing Annuities upon Lives. 107
At 7 Cent.
Annum.
The Value of an Annuity upon Life, for
per Ann.
Age 30.
1. 1. S. d.
Age 31. Age 32.
ts.
S. d.
Age 33.
2. s.
d.
1. S. d.
1000 9836 6 8
900 8852 14 0
9716 5 4 9630 7
8744 12 10 8667
9
9540 19 3
8586 17 4
800 7869 1 4
700 6885 8 8
7773
3 7704 6
2
7632 15
5
6801
6801 7 7
96741
5
5
6678 13
600 5901 16 0
5829 15
2 5778 4 8
5724 11
II
7
500 4918 3
4
4372
6
5 4815 3 10 4770 9 7
400 3934 10
8
3886 10
1 3852 3
1 3816
1 3816 7 8
300 2950 18
2914 17
7 2889 2
42862
5 9
200 1967 5 4 1943 5
of
1926 I
6 1908 3 10
· 100
983 12
∞.
971 12
6
963
963 0
9 954 I II
90
885 5 4
874 9
3
866 14
9
858 13
8
80
786 18
I
777 6
770 8
7
763 5 6
70 688 10
688 10 10
680 2
9
674 2
6
667 17
4
-
60
590 3
7
582 19 6
577 16
5
572 9 1
50
491 16 4
437 4 7
481 10
4
477 O II
40 393 9
388 13
O
of
385 4
3
381 12 9
30 295 I' 9
291 9
288 18
2
286 4 6
20
196 14 6
194 6
6
IO
98 7
3
97 3 3
192 12
96 6
I
190 16 4
95 82
9
88 IO 6
87 8 11
86 13 5
85 17 4
8
78 13 9
77 14 7
77 Ο ΙΟ
76 6 6
7
68 17
I
68 O 3
678 3
66 15 8
6
59 O 4
58 5 11
57 15
7
57 4 10
5
49 3 7
43 14 5
4
39 6 10
38 8 17 3
48 3
38 10 5
3
29 10 2
29 2 II
2
19 13 5
19 8 7
9 16
8
9 14 2
9 12 7
9
28 17
19 5 2
19 1 7
9
47 14 I
38 3 3
28 12
*
S
9 1.0
P 2
At
108
4
Hayes's New Method for
At 7 Cent. P Annum.
The Value of an Annuity upon Life, for
Age 34•
Age 35.
per Ann.
1.
1. S. d. 1. S. d.
Age 36.
1. S. d.
Age 37.
1. s. d.
1000 9457 12
900 8511 16
09364 2
19 8427 14
4 9280 19
39193 15 6
i
8352 17
4 8274 7 11
77491
5 10
5 6554 17 7
800 7566 I
700 6620 6
600 5674 II
500 4728 16
400 3783
300 2837 5
25618 9 4 5568 11
45568 11
04682 I 24640 9 7 4596 17 9
9 3745 12 11 3712 7 8 3677 10 2
7 2809 4 8 2784 5 9
4 1872 16 5 1856 3 10
7424 15
5 7355 0 5
6496 13
6 6435 12 10
6 5516 5 3
2758 2
7
200 1891 10
4 1872 16
1838 15
I
1.00 945 15
2
936 8 2
928 I II
919 7
6
90
851 3 8 842 15 4
835 5 9
827 8
8 a
756 12
I
749 2 7
742 9 6
735 10
70 662 O
7
655 9 9
649 13
4
643 11
3
60 567 9 I
561 16 11
556 17 I
551 12
6
59 472 17
7
468 4
I
464 O II
459 13
9
49 378 6
0
374 11 3
371 4 9
367 15
39 283 14 6
280 18
5
278 8
278 8 6
275 16
3
29
189 3
187 5
7
185 12
4
183 17 6
94 11
93 12 9
92 16 2
91 18 9
9
85 2 4
84 5
6
83 10
6
82 14 10
8
75 13 2
74 18
3
74 4 11
73 11
7
66 4 9
65 10 II
64 19 4
6.4 7
I
56 14 10
56 3 8
55 13
8
55 B 3
5.
47 5
9
46 16. 4
46 8
I
45 19 3
4
37 16 7
37 9 I
37 2 5
28 7
5
28 I 10
27 16 10
3615
27 10 7
6
j8 18
3
18 14
6
18 11
2
18 7 9
9 9 I
9 7 3
95 지
​9 3 10
At
valuing Annuities upon Lives.
109
5
At 7 P Cent. P Annum.
The Value of an Annuity upon Life, for
per Ann. Age 38.
1.
Age 39.
Age 40.
Age 41.
s. d.
1.
S.
d. li
S.
d.
1.
s. a.
1000 9087 4 8
900 8178 10
800 7269 15 9
9000 9
9 8 8910 4 1
8100 898019 3 9
7200 7 9 7128
8806 8
I
7925. 15
3 3 7045 2
2 6
700 6361 1 I 3 6300 6 2 6237
·600 5452 6 9 5400 5 10 5346
2 11
6164 9 8
2
6
5283 16 10
500 45.43 12 4 45.00
4 10 4455
2
4403 4 0
400 3634 17 10
3600
3 10 3564
I
7 3522 11 3
+
300 2726 3 4
4
2700
2700
2 11 2673
I
200 1817 8 11
1800
1800
I 11
1782
ọ
3 2641 18
091761
1761 5
7
100 908 14 5
1900
O II
891 0 4 4 880 12 9
90 817 17
8.10
801 18 4
792 II
6
80 726 19
16
720
9
712 16 3
704 10
3
70 636 2
630
8
623 14
3
616 8 11
60 545 4
8
540
7
534 12 3
3
528
7 8
5·0 454 7
2450
450 0
54.45 10.
2
440 6 4
40 363 9 9
3.60
O
4
356 8
1
352 5
3:0
272 12 4
270
3
267 6 i
264 3 10
20
181 14 19
180
2
178 4 0
176
2 6
10
90 17 5
90
89
2
88
1.
1. 3
9
81 15 8
81 0
80
3
ΙΟ
79 5
8
72 13 11
72
71
5
5 7
70 9
63 12:2
63
62 7
7
5
61 12 to
54 10 5
54
·53 9. 2
:5
45 8 8
45
44 II
4
36 6 N
36
275
2 27
18
9
3
I
i
3
5 18
8
ة تو
a a a
35 12 9
26 147
17 16 A
8 18 2
8.18
52 16 9
440
7
35 4
26 8 4
17 12
8 16
At
110
Hayes's New Method for
At 7 P Cent. P Annum.
The Value of an Annuity upon Life, for
per Ann.
1.
Age 42.
1. S. d.
t
Age 43.
1. s. d.
Age 44.
S.
1. s. d.
Age 45.
1. s. d.
1000 8673 19 11
8587 II
6
8511 1
8
8412
8
8412 5 7
900 7806 11 11
7728 16
4
7659 19
800 6939 3 11
6870 I
2
6808 17
4
7571 I
6729 16 6
O
700 6071 15 11
6011 6
05957 15
2
5888 11 11
600 5204 7 11
500 4336 19 11
5152 10 11
5106 13
05047 7 4
4293 15 9
4255 10
10 4206 2 9
100
400 3469 11 11 3435
II II
300 2602 3 11
200 1734 15 11
867 7 11
O 7
3404 8
8 3364 18
2576 5
5
2553 6 6
6 2523 13 8
3∞
1717 10
3
1702 4 4
1682 9 I
858 15 I
851 2 2
841 4 6
90
780 13
2
772 17 7
765 19 11
757 2 I
80
693 18
4
687 0 I
680 17
8
672 19
197
70 607 3
6
601 2
7
595 15 6
588 17 2
60 520 8
9
515 5 I
510 13 3
504 14 8
50
433 13 11
429 7
6
425 III
420 12 3
40
346 19 2 343 10
340 8 10
8 10
336 9:
30
260 4 4
257 12
6
255 6 7
252
7 4
20
173 9 7
171 15
170 4 5
168 410
IO
86 14
9
85 17
6
85 2
2
84 2 5
9
78 1 3
77 5
9
76 II II
75 14 2
8
69 7 10
68 14
68 1
9
67 511
7
60 14 4
60 2 3
59 11 6
58 17 8
6
52 0 10
51 10 6
51 1
3
50 9 5
5
43 7 4
42 18
9
42 II I
42 I 2
4
34 13 11
34 7
34 Ο ΙΟ
33 12 11
3
26 O 5
25 15
3
25 10 7
25 4 8
2
17
6 11
17 3 6
17 O 5
16 16 5
I
8 13
51
8 II
9
8 10
2
882
At
valuing Annuities upon Lives. III
per Ann.
Age 46.
Age 47.
1.
1.
S.
d. 7.
S.
At 7 Cent. P Annum.
The Value of an Annuity upon Life, for
Age 48.
d. l. S. d. 7. S.
Age 49.
d.
1000 8351 2 4 8202 19
900 7516 0 07382 13
800 6680 17 11 6562 7
700 5845 15 8
08121 0 10 7975 14
6
1
7308 18
98178 3
2
6496 16
8 6380 11 7
5742
1
3
5684 14
7 5583 0
600 5010 13
500 4175 11 2 4101 9 6 4060 10
400 3340 8 11 3281 3
II
373248
300 2505 6 8 2460 17 8 2436
200 1670 4 5
100 835 2 2
5 4921 15
5 4872 12
6 4785 8
8
5 3987 17 3
73248 8
4 3190 5 9
6
3
2392 14 4
1640 II
9 1624 4
9 1624 4 2
2
1595
1595
2 10
820 5 10
812 2 I
797 II
5
90
751 12
738 5
5 3
730 17 10
817 16
3
80
668 I 9
656 4 8
649 13
8
638 I
70
584 11 6
574 4 I
568 9
5
558 6
60
501 I 4
492 3
6
487 5 3
478 10 10
50
417 II I
410 2 II
406 I
398 15
8
40
334 0 IO
328 2
4
324 16 10
319 0
6
30
250 10 8
246 i 9
243 12
7
239 5
5
20
167 O 5
164 1
2
162 8
5
159 10
3
ΙΟ
83 10
2
82 0
7
81 4
79 15
I
9
75.3
2
73 16 6
73 I 9
81 15 7
8
66 16 2
65 12
5
64 19
4
63 16
I
7
58 9
I
57 8
4
56 16 11
55 16 7
6
50 2
I
49 4 4
48 14 6
47 17
I
5
41 15
I
41 O
3
40 12 I
39 17
4
33 8
I
3216
2
32 9 8
31 18
3
25
I
24 12
24 7 3
23 18
6
2
16 14
16 8
16 4 10
15 19
I
8 7
8
4
8
25.1
7 19
6
At
112
Hayes's New Method for
&
At 7 Cent. p Annum.
The Value of an Annuity upon Life, for
ter Ann.
1.
Age 50.
1 S.
d.
Age 51.
1. S.
Age 52,
Age 53.
d.
s. d.
1. s. d.
མ
1000 7882 17
77786
7786 2
900 7094 II 10
800 6306 6
700 5518
5518 ė • ·3
600 4729 14
0
2
7007 10 of 6919 16 11 6828 19
6228 17 10 6150 19
37688 14 4 7587 14 7
I
6 6070 3
8
5450 5 7 5382 2
6
4671 13 4 4613
4
65311 8
74552 12 9
500 3941 8
9
3893
3893 1 I 3844
7
2 3793 17 3
400 3153 3
03114 8 11
3075 9
9
3035
300 2364 17
3 2335 16
8
2306 12
3
3035 I 10
2276 6 4
200 1576 11 6 1557 4
100 788
788 59 9778 12 2
90 709 9 2 700 15
5
1537 14 10
1517 10 11
768 17
5
758 15 5 5
691 19 8
682 17 10
80 630 12 7
622 17 9
615 I II
607 0
4
70
551 16 O
545 О 6
538 4 2
531
9
60
472 19 5
467 3 3 4
461 6 Ś
5
455 5
5
3
50 394 2 10
389 6 i
384 8 8
379 7 7
8
40
315
6
3
311 8 10
307 10 II
303 10
2
30
236 9 8
233 11 8
230 13
2
227 12
7
O
157 13
155 14
5
153 15
5
151 15 1
I
78 16 6
77 17 2
76 17
8
9
70 18 11
70 I
69 3 II
75 17 6
68 5
9
81
63 I
I 3
62 5
9
61 10
2
60 14
7
55 3 7
54 10
53 16
5
53
2
3
47 5 11
46 14 4
46 2
7
45 10
6
39 8 3
38 18 7
38 8 10
4
31 10 7
31 2 10
30 15
I
•
31
23 12 11
23 7 21
23 I 3
37 18
30 7
22 15 3
9
15 15 3
15 11 5
15 7
6
15 3
6
717 7
7 15
I
8
7 13
9
7 II. 91
At
valuing Annuities upon Livès.
113
per Ann!
1.
1000 7486 8 8
Age 54.
1. S. d.
Age 55.
1. S. d.
At 7 Cent. P Annum.
The Value of an Annuity upon Life, for
Age 56.
Age 5.7.
1. S. d. h S. d
7383 14 9
7214 I 10 7079 8 4
900 6737 15 10 6645 7 3
800 5989 2 I
2 11 5906 19 10
700 5240 IO 05168 12 4
3
6492
3 7 6371 9 6
5771
3
3
55663 10
8
600 4491 17
2
I
5049 17
4430 4 10 4328 9
34955 II IO
14247 130
500 3743 4
4
3691 17
43607
3607 OI
O II 3539 14 2
400 2994 II 5
300 2245 18
2953 9 11
2885 11
2885 11
II
8
2831 15 4
7
2215 2 5
2164 4
6
2123 16 6
200 1497 5 8
8
1476 14 11
1476 14 11
1442 15 10
1415 17
8
100
748 12 10
738 7 5
721 7 11
707 18 10
90
673 15
7664 10
8
649 4 4
637 2 II
80
598 18
3
590 13 II
577 2 4
566 7
70
524 I
O
516 17 2
504 19
8
495 II 2
60
449 3 8
443
5
432 16 10
424 15
3
50
374 6
6 5
369 3
8
360 14 I
353 19
5
4° 299 9 I
295 6 II
288 11
2
283 3
30
224 II IC
221 IO 2
216 8
5
212 7 7
20
149 14
E
147 13 5
144 5 7
141 II
9
I O
74 17
3
73 16 8
72 2 9
70 15 10
67 7
66 9
64 18 5
63 14 3
8
59 17 S
59 I 4
57 14 2
56 12 9
7
52 8 1
51 13
50 9 11
49 II I
6
44 18
4
44 6
43
5
8
42 9 6
5
37 8 7
36 18
4
36 I 4
35
7 11
II
4
29 18 11
29 IQ
8
28 17
I
28 6 4
3
22 9 2
22 3
21 12 ΙΟ
2 I
4
9
2
14 19 5
I
7 9 8
14 15 4
7 7 8
14 8 6
14 3
ळाव
7 4
31
7
I
7
At
114
Hayes's New Method for
At 7 Cent. P Annum.
The Value of an Annuity upon Life, for
per Ann
Age 58.
1.
1. s. d.
Age 59.
1. s. d.
Age 60.
1. s. d.
d.
l.
Age 61.
s. d.
1000 6924 18 4
6772 4 56621 0 4
6466
I
7
900 6232 8
6
6094 19 11
5958 18 3
5819 9
3
800 5539 18
8
5417 15
6
5296 16
3
5172 17 I
700 4847 8
10
600 4154 19
4740 11
04063 6
II
0
4634 14
2 4526 5
8
3972 12
2 3879 12 10
500 3462 9
400 2769. 19 4
2 3386
2
2 3310 10
23233 O 9
2708 17
300 2077 4 6
200 1384 19 8
100 692 9 10
99 623 4 10
80
553 19 9
79 484 14 10
2031 13
1354 8
92648 8
4 1986 6
4 1986 6
12586 8 6
1 1939 16 5
10
1324 4
0
677 4 5
662 2
1293 4 3
646 12 I
609 9 11
595 17
9
581 18 11
541 15
6
529 13
7
517 5 8
474 I
I
463 9
5
452 12
60 415 9 10
406 6 8
397 5
2
387 19
3'
50 346 4 II
338 12 2
331 I
323 6 0
4°
276 19 11
270 17
9
2.64 16 9
258 12 10
30
207 14 5
203 3
4
198 12
7
193 19 7
20
138 9 11
135 8 10
132 8 4
129 6 6 5
ΙΟ
69 4 II
67 14 5
66 4
64 13 2
9
62 6 5
60 18 11
59 11 9
58 3 10
8
55 7 11
54 3
6
52 19 4
51
14
6
7
48 9 5
47 8
I
46 6 II
45 5 3
6
41 10 11
40 12
8
39 14
6
38 15 11
34 12
5
33 16
2
33 2 I
32 6 7
4
27 13 11
27 I 9
26
9 II
25 17 3
20 15 5
20 6 4
19 17 3
2
13 16 11
13 10 10
13
4 II
19 7
12 18 7
II
I
6 18
51
6 15 51
6
12
5
6 9
3
At
valuing Annuities upon Lives.
115
At 7 Cent.
Annum.
The Value of an Annuity upon Life, for
1
per Ann. Age 62.
1.
Age 63.
Age 64.
Agê 65.
S.
d.
1.
S.
d.
l.
1.
s. d.
S.
d.
6102
1000 6282 8 3
6102 Í 4 5913 17 10 5717 2 4
5491 17
900 5654 3 5
800 5025 18 84881 13
25322 10
2
5145 8
I
4731 o
8 4573 13 1I
700 4397 13
10 4271 8 11
4139 13
4001 19
8
600 3769 9
500 3141 4
400 2512 19 4
300 1884 14
0 3661 4 9
3548 5
6
3430 5
5
I
3051
Q
8
2956 18 11
2858 11
2
2440 16
6
2365 10
4
2286 16 1İ
6
1830 12
4
1774 2
9 1715 2 8
200 1256 9 8
1220
1220 8
8
3
1182 15
2
1143 8 5
100 628 4 10
610 4 I
591 7
7
571 14 2
90
565 8 5
549 3 8
532 5 0
514 10
80
502 II 10
488 3 3
473 2
457 7 4
70 439 15 41
427 2 IO
413 19 3
400 3 II
60
376 18 10
3.66 2
5 354 16
6
343
50 314
314 2
4
305
2
295 13 9
285 17
40
251
5 11
244
I
7
23611
228 13
8
30
1889
5
183
I
2
201
125 12 II
122
O 9
177 8 3
118 5 6
171 FO 3
114 6 10
ΙΟ
62 16 5
61
O
41
59 2 9
57 3 5
9
56 10 10
8
50 5 2 48 16
54 18 4
53 4
6
51 9
3
47 6
2
45 14
8
43 19 6
42 14
3
41 7 II
40
O
4
"}
6
37 13 10
36 12
2
35 9
7
5
31 8
30 10
2
29 II
4
34 6
28 11
8
4
25 2 7
24
8
I
23 13 I
22 17 4
3
18 16 II
18
6
I
17 14
9
17 3
2
12 FI
3
I 2
4
II 16
6
I I
8
8
I
6 57
6
2
5 18
5 14 4
}
Q 2
At
116
Hayes's New Method for
At 7. Cent. P Annum.
#
The Value of an Annuity upon Life, for
er Ann.
Age 66.
1.
2. S. d.
Age 67.
1. S. d. l. S. d.
Age 68.
Age 69.
1.
s. d.
1000 5511 II
25297
I 2
900 4960 6 I 4767 7 04564
800! 4409
5 4237 12 11 4057
700 3858 1 10 3707 18 10
600 3306 18
5071 13 24836 2 11
9 10 4352 10
8
3550 3
9 3178 4 8
3042 19
6 6 3868 18
23385
11 2901 13
4
6
୨
500 2755 15
400 2204 12
300 1653 9 4
200 1102 6 3
100 551 3 I
7 2648 10
7 2648 10 7
2535 16
7 2418
I
5
6
2118 16 5
1589 2 4
1059 8 2
2028 13 3
1934
9
2
1521 9 II
1450
16 10
1014
6 7
967 4 4 7
90
496 0
7
529 14 I
476 14 8
507 3 3
3
483 12 3
456
8 11
II
435 5
80
440 18
6
423 15 3
405 14 7
386 17 10
70
385 16
370 15 10
355
3
338 10
7
60 330 13 10
317 16 5
304 5 II
290 3 3 4
50
275 11 6
264 17
O
253 11 7
241 16 I
40
220 9 3
211 17 7
202 17 3
193 8 11
30
165 6 11
158 18
2
152 2 11
145 I 8
20
IIO 4 7
105 18
9
IOI 8 8 7
96 14 5
55 2 3
52 19
4
50 14 3
48 7 2
9
49 12
47 13 5
45 12 10
43 10
6
8
44 I IO
42 7 6
40 II
5
38 13
9
38 11
7
37 I 7
35 10 Ο
33 17
33 I
4
31 15 7
30 8
7
29 O 4
27 II I
26 9 8
25 7
24 3 7
4
22 O II
21 3
16 10 8
3 9
15 17 9
15 4
20
5
8
19 6 10
3
14 10 2
2
N.
II O 5
IO II IO
10
IO 2 I
I
5 10
5 5 11
5.
I 5
9 13
5
416 8
At
valuing Annuities upon Lives.
117
per Ann.
Age 70.
Age 71.
1.
7.
S.
d.
1. S.
At 7 & Cent. P Annum.
The Value of an Annuity upon Life, for
Age 73.
7. S. d.
Age 72.
d. 1. S. d.
1000 4589 8 3
4268 15
2 4062 3
4 3929 15
3
900 4130 9
800 3671 10 7
700 3212 11 9
600 2753 12 11
500 2294 14
5
3841 17
8 3655 19
03536 15
9
3415 O
2
3249 14
8
3143 16
2
2988
2
8
2843 10
4
2561 5
I
2437 6
2750 16 8
2357 17 I
I
2134 7
7
2031 I
8
1964 17 7
400 1835 15 3
1707 10
1707 10
I
1624 17
4
1571 18
I
300 1376 16 5
1280 12
6
1218 13
O
1178 18
200
917 17 7
853 15
812 8
8
785 19
100
458 18 9
426 17
406 4 4
4 4
392 19
90 413 O II
384 3
3 9
365 II 10
ΙΟ
353 13
6
80
367 3
341 10
70
321
5
2
298 16 3
324 19 5
284 7
314 7
7
о
275
I
8
60
275 7 3
256
2 6
243 14 7
235 15
8
50
229 9 4
9 4213 8
9
203 2 2
196 9
9
40
183 11 6
170 15
0
162 9 8
157 3 9
30
137 13
7
128 Ι 3
121 17 3
117 17 10
20
91 15 9
85 7 6
81 4 10
78 II II
ΙΟ
45 17 10
42 13 9
40 12
5
39 5 11
9
41 6
I
38 8
4
36 11
II 2
8
36 14 3
34 3
32 9 II
7 32 2
6
29 17
7
28
8 8
27 10
6
27 10 8
25 12 3
24
7
7 5
23 11
35 7 4
31 8 9
2
I I 6
5
22 18 11
21
6 10
20
6 2
19 12 II
4
18 7
17 I 6
16 4 11
15 14 4
32
13 15 4
12 16 I
I 2
3
8
II 15. 9
913
6
8 10
9
8
25
I
4 16
9
4 5 5
4
4
I
2
717 2
3 13
71
At:
118
Hayes's New Method for
per Ann.
At 8 Cent. † Annum.
The Value of an Annuity upon Life, for
Age 30.
1. 1. s.
Age 32.
Age 31.
d. 1. s. d. 1. S. d. 1.
Age 33.
S.
d.
1000 8685 14
58584 14
07726 5
88514 2
of 8440
0 10
O IO
6 6867 15
O
06009
8
8
1716 18 11
100
858 9
900 7817 3
800 6948 11
700 6080
600 5211 8 8 5150 16 10
500 4342 17 2 4292 7
I 이 ​4220
7 4 4257
400 3474 5 9 3433 17 10 3405 12 10
59
300 2605 14 4 2575 8 5
200 1737 2 10
868 II 5
9
27662 13 11 7596
6811
6811 5 8 6752
9 4
8 4
6
3
5959 17
6 5908
7 3
5108 9
3 5064 6
3
O
3405 12 10 3376
4
2
2554 4 7
2532
3
I
1702 16 5
1688 2
I
5
851 8 2
844
90
781 14
772 12 6
766 5 4
759 12 II
80
694 17 J
686 15
6
681 2
6
675 4 11
II
70
608 0
600 18 7
595 19
9
590 16 8
60
521
2 10
515 I 8
510 16 11
506 8
7
50
434 5 8
429 4
8
425-14
I
422 0
40 347 8 6
343 7 9
340 II 3
337 12
5
30
260 II 5
357 10 10
255 8
5
253 4
4
3
20
173 14 3
171 13 10
170 5
7
71
168 16
2
IO
9
8617
78 3 5
I
85 16 11
85
2
9
84 8
I
77 5 5 3
76 12
75 19 3
8
69 9
8
68 13
6
68 2 3.
67 10
5
60 16
60 I 10
59 11 10
59 I
8
6
52 2 3
SI 10 2
51 1 8
50 12 10
43 8 6
42 18
5
42 II 4
42 4 0
4
34 14 10
34 6
9
34
I
I
33 15
2
26 I I
35 15
I
25 10 10
25 6
6
5
2
17
7 5
17 3 4
17
6
16 17 7
I!
813
8
8 11 8
8 10
3
8 8
9
At
valuing Annuities upon Livés.
119
per Ann.
1.
At 8 Cent. P Annum.
The Value of an Annuity upon Life, for
Age 34.
Age 35.
1. S. d. l. S. d.
Age 37•
Age 36.
1. S. d.
1. S. d.
1000 8383 17 5 8306 19 4
8239 18
38168 9
8
900 7545 9 9 87476
7476 5
5
7415 18
5
7351 12
8
800 6707 I II 6645 II
51
6591 18
7
6534 15
9
700 5868 14 2
5814 17
6
5767 18
9
5717 18
9
600 5030 6 5 4984 3
7
4943 19
o
4901 · I 9
4
500 4191 18 8 4153 9
8
4119 19
4084 4 1 Ο
400 3353 10 11
II
3322 15
8
3295 19
3
3
3267
3267 7 10
300 2515 3 2
200 1676 15 5
2492 I 9
2471 19
6 2450 10 IO
1661
7 10
7 10
1647 19
1647 19
7
1633 13 11
100
838 7
8
830 13 II
823 9
9
816 16 11
90
754 IO II
747 12
6
74I II 10
735 3 3
80
670 14 2
664 II
I
659 3 10
653 9 6
70
586 17 4
581 9
9
576 15 10
571 15 10
60
503 0 7
7
498 8
4
494 7 10
490 2 2
50
419 3 10
415 6 11
411 19 10
408 8 5
40
335 7 I
332 5
6
329 II II
326 14 9
30
251 10 3
249 4
2
247 3 II
245 I I
20
1.0
167 13
83 16 9
6
166
2
9
164 15 11
83
I
4
82 6 II
81 13
163 7
4
8
9
75 9 I
74 15
3
8
67 I 5
66 9 I
74 3 2
65 18
73 10 3
4
65 6 II
7
58 13
8
58 2 11
57 13 7
6
50 6
49 16 10
49 8 9
5
41 18
41 10 8
41 3 II
57 3 3 7
49 o
40 16 10
4
33 10 8
33 6
32 19 2.
32 13
5
3
25 3
24 18
3
24 14 4
24 10 I
2
16 15
4
16 13
51
16 9
7
16 6
8
8
7
8
8
6.
6.71
8
4 9
8 3
41
At
120
Hayes's New Method for
At 8 Cent. P Annum.
The Value of an Annuity upon Life, for
per Ann
Age 38.
Age 39.
1.
1. s. d.
1. S. d.
Age 40.
1. s.. d.
d. l. S.
Age 41.
d.
2
II
4 7067 2 5
1000 8080 IO
10 9 7998 12 3 7937 6 0 7852 7
900 7272 987198 15 97143
800 6464 8 76398 17 10 6349 16
700 5656 7 6 5599 O
600 4848 6
7 5556 2
9 6281 17 9
8 3
2 5496 13
4 4762 7 7 4711
774711
8
3926 3 7
4799 3
4 4762
500 4040 5
400 3232 4
300 2424 3 2
200 1616 2
4 3998 6
I
1 3968 13
3
3199 8
1
3174 18
4 3140 18 10
2399 11
7 2381 3
9
2355 14 I
I
1599 14
5 1587 9
2
1570 9 5
100
808 I о
799 17
2
793 14
7
785
785 4 8
90
727 4 II
719 17
6
714 7 I
706 14 2
80
646 8 10
639.17
639 17
9
634 19 8
628 3 9
70
565 12
9
559 18
555 12
2
549 13 3
60 484 16 7
479 18 4
476
4
476 4 9
471 2 9
50 404
6
399 16
7
396 17
3
392 13 4
30
40 323 4 5
242 8
319 18 10
317 9 10
314 I 10
239 19 I
238 2 4
235 11 4
20
161 12
159 19 5
158 14 11
157 O II
ΙΟ
80 16
79 19
8
79 7 5
78 10 5
9 72 14 5
71 19 8
71
8 10
70 13 5
8
64 12 10
63 199
63
911
62 16 4
7
56 11
3
55 19 9
55 11
2
54 19 4
6
48
9 7
47 19 10
47 12
5
47
2 3
5.
4
43
40
8
39 19
7
39 13
8
39 5
4
32
2 6 5
31 19 10
31 14 11
31 8
2
3
24 4 9
23 19 10
23 16 .2
23 11 I
2
16 3
2
15 19 11
15 17
5
15 14 I
8 I 7
719 II
7.18
8
7 17
At
valuing Annuities upon Lives.
121
At 8 Cent. Annum.
The Value of an Annuity upon Life, for
Age 43. Age 44.
per Ann
Age 42.
Age 45.
1.
1.
S.. d. 1. S. ds 1. S. d.
1. S.
d.
1000 7742 I
7 7673
2
7613 I I 7533 7 3
900 6967 17
3
3
6905 14
6905 14 2
6851 15 o
6780 0
ọ 7
800 6193 11 1
700 5419 9
6138 8
2
6090 8 11
6026 13 10
5371 2
I
5329 2
9 5273 7
I
600 4645 4 10
500 3871 0
4603 16
1
4567 16
84520 O 4
93836 10
3806 10
6 3766 13 7
400 3096 15
6 3069 4
I
3045 4
300 2322 12
5
2301 18
2283 18
42260
5 3013
3013 61
O
II
2
200 1548 7
9
1534 12
O 1522 12
2 1506 13 5
ΟΟΙ
774 3 10
767 6
761 6
I
753
6
8
90
696 15 8
690 II
5
685 3
6
678
80
619 7 1
613 16
9
609 0 10
602 13 4
70
541 18 10
537 2 2
53218
3
527 6 8
60 464 10
5
460 7 7
456 15 8
452
Ο
50
387
387 2
O
383 13
380 13
376 13
40 309 13
6
306 18 4
304 10
5
301 6
30 232 5
2
230 3 9
228 7 10
226 0
20
154 16
9
153 9
2
152 5 2
150 13
4
IO
77 8
4
76 14 7
76 2 7
75
6 8
9
69 13
6
69 I
I
68 10
4
67 16
8
61 18
8
61 7
8
60 18
60 5 4
7
54 3 10
53 14 2
53 5
5
9
52 14 8
6
46 9
46 O 9
45 13 6
45 4
5
38 14
38 7 3
38 I 3
37 13 4
4
30 19 4
30 13 10
30 9
3
23 4 6
23
O 4
22 16
30 2
22 12 о
2
15 9
9 8
15 61
15 4
6
15 I
I
714 10
7 13 5
7 12
3
7 10
R
AI
122
Hayes's New Method for
300 2236 18 9
200 1491
1491 5 10
5 10
745 12 II
100
90 671
1473
At 8 Cent. P Annum.
The Value of an Annuity upon Life, for
Age 47•
Age 46.
1. s. d. 1. S. d. 1. S.
per Ann.
1.
1000 7456 9 27365
3 6628 14
4 5892 4
900 6710 16
800 5965 3
700 5219 10
600 4473 17
500 3728 4
400 2982 II 8
55155 13
6 4419 3
7 3682 12
5 47300
10 6570
6570
35840
95110
2946 2 I 2920
2209 11
II 7 2190
1473 I 0 1460
736 10
04307 13 2
2153 16 7
Age 48.
· Age 49.
d.
1. S. d.
3
57179 8 8
3
3 6461 9 9 9
2
9 5743 10 10
2
4 5025 12
4380
2
8 3650
I
8 3589 14
4
I
4 2871 15
5
I
0
8 1435 17 8
6 730
4
717 18 10
671 I
7
662 17 5
657
3
646 2 11
80 596 10 4
589 4 5
584
3
5747 I
70
521 19
515 11 4 511
502 II
60 447 7
9
441 18 3 438
430 15
3
50
372 16 5
40 298 5
368 5 4
4 365
2
358 19 5
2
30
223 13 10
20
149 2
7
294 12
220 19 I
147 6
21 292
I
287 3
6
219
I
215 7 7
I
146
143 11 ୨
74 II
3
73 13
73
9
67 2
66 5 8
65 14
8
59 13
58 18 5
58
8
57
71 15 10
64 12 3
8
8
7
52 3 10
51 II
I
51
2
50 5
I
6
44 14 9
44 3
9
43 16
43
I
6
5
37 5
7
36 16
6
36 10
4
29 16
6
29 9
2
29
4
3
22 7 4
22 I IO
21 18
35 17 11
28 14 3
21 IO
9
14 18
3
14 14. 7
34.12
14 7
I
7 9
7 731
7 6
7 3
6
At
valuing Annuities upon Lives. 123
per Ann. Age 50. Age 51.
S.
d.
7.
S.
900 6395 9
800 5684 17
7 6321
8
4 5619
At 8 P Cent. P Annum.
The Value of an Annuity upon Life, for
1. 7.
1000 7106 I
97023 15
Age 52. Age 53.
S.
d.
1. s.
d.
0 6952 7 5 6872 5 8
I 6257 2 86185
I
6 5561 17 11 5497 16 6
1.
d.
700 4974 5
24916 13
0 4866 13
o 4810 12
600 4263 13
4214 5
5 4171 8
500 3553 O 10
400 2842 8 8
300 2131 16 6
3511 17
2809 10
6 3476 3
3 2780 18
2107
2
8 2085 14
5 4123 7
8 3436
83436
3436 2 10
11 2748 18 3
2 2061 13
8
7 4
200 1421 4
4
1404 15
I
1390 9
5j 1374 9
I
100 710 12 2
702 7
6
695 4 8
687 4 6
90
639 10 II
632 2
625 14 3
618 10 I
80 568 9 8
561 18
556 3 9
549 15 7
70
497 8
6
491 13
3
3
486 13
3
48 1
I
2
60
426 7 3
421
8
6
417 2 10
412 6 68
50
355 6 6 I
351 3 9
347 12
4
343 12 3
40
284 4 10
280 19
278 I IO
274 17 9
30
213 3 7
210 14
3
208 II 5
206 3 4
20
142 2 5
140 9 6
139 0 II
137 8 10
10
71 1
2
70 4
9
69 IO
5
68 14 5
9
63 19
I
63 4 3
62 II
5
61 17
8
56 16 11
56 3
9
55 12
4
54 19
7
49 14 11
49 3
3
48 13
3
48 2
I
B
42 12 8
42
2 10
41 14
3
41
4 8
5
35 10 7
35
2
4
34 15
2
34 7
2
4
28 8
5
28
I IO 27 16
2
27 9
9
1
3
21 6
4
21 I 5
20 17
I
20 12 4
2
14
4
2
14 O II
13 18
I
13
14 10
I
7 2
7
O 51
6 19
6 17
51
R 2
-At
124
Hayes's New Method for
At 8 Cent.
Annum.
The Value of an Annuity upon Life, for
per Ann
Age 54.
Age 55.
Age 56.
1. 1. S. d.
1.
s. d.
Age 57.
1.
S. d.
1. s. d.
1000 6792 2 1
1
6710 16 11
6710 16 11
6574 5 10
6458 11
8
900 6112 17 11
800 5433 13 8
6039 15
5916 17 3
5812 14
6
5368,13 6 5259 8
8
5166 17 4
700 47:54 9 6
600 4075 5 3
500 3396 1
4697 11
10 4602
19 0
4521 0
4026 10 I
3944 II 6 3875 3.0
3355 8
5
5
3287
3287 2 11 3229 5 10
400 2716 16 10
2684 6
9
2629 14
4
2583 8 8
300 2037 12
7
2013
5
O 1972 5
9
1937 II
6
200 1358 8
5
1342
3
4
1314 17
2
1291 14 4
100
679 4
2
671 I
8
657 8
7
645 17
2
90
611
5 9
603 19
6
591 13 8
581 5
5
80
543 7 4
536 17
4
525 18 10
516 13
8
70
475
8 11
469 15
2
460 4
4
0
452 2
60
407 10
6
402 13
394 9
I
387 10
3
50
339 12
I
335 10 10
328 14 3
322 18 7
40
271 13 8
268 8
8
8
262 19
5
258 6 10
30
203 15 3
201 6 6
197 4
6
193 15 I
20
135 16 10
134 4 4
131 9
8
129 3
5
ΙΟ
67 18
5
67 2 2
·65 14 10
64 11
8
9
2
61
6
60 7 II
59 3 4
58 2
8
54
68
53 13
8
52 11 10
51 13 4
7
47 10 10
46 19
6
46 0 4
45 4
6
40 15
40 5
3
39 8 10
38 15
33 19
2
33 II I
32 17 5
32 5 10
4
27 3
4
26 16 1926 525 16 8
20 6
6
6
20 2
7
19 14 5
5
2
13 II
8
13
8 5
13 2 11
197
12 18
6
4
I
6 15 10
6 14
2
6 11
5
69
2
I
At
valuing Annuities upon Lives.
125
At 8 Cent.
Annum.
The Value of an Annuity upon Life, for
per Ann.
1.
Age 58.
Age 59.
1. S. d.
1. S.
d.
Age 60.
1. S. d.
Age 61.
1. S. d.
1000 6330 5 11
6203 12
900 5697 5 3
800 5064 4 9
700 443I · 2
600 3.798 3
500 3165 2
400 2532 2
300 1899 1
200 1266 I
100 633 0
5583 5
4962 17
54342 10
6.3722 3
11 3101 16
4
2481
9
I 3039
42961 6
8 10 2431 5 11 2369 I I 3
1861 1 8 1823 9 5
2 6078 4 9
05470 8 3 5330
7 10
9 4862 II 10 4738 2 6
6
4254 15 4 4145 17 2
4 3646 18 10 3553 11 10
2
6 6
5922 13
I
1776 15 11
2
1240 14 5
1215 12 11
1184 11 7
7
620 7 2
607 16
5
5
592 5 9
90
569 14 6
558 6 6
547 O 9
533 O 9
80 506 8
5
496 5
8
8
486 5 2
473 16
3
70
443 2 2
434 5
425 9 6
414 II
8
60
379 16
4
372 4
4
4
4
364 13 10
355 7
2
50 316 10
3
310 3
7
303 18
2
296 2
7
40
253 4
2
248
2
༢༠
189 18
2
186 2 2
4 243 2 7
182
236 18
I
6 11
II
177 13 7
20
126 12
I
I 24
I
5
121 II
3
118 9 I
IO
63 6
62 0
8
60 15 7
59 4
6
9
56 19 5
55 16
7
54 14 0
53 6
8
50 12.10
49 12 6
48 12
6
47 7 7
7
44 6 2
43 8
6
42 10 11
41 9 2
37 1.9 7
37 4 5
36 9
4
35 10
8
5
31 13
4
25
64
61
5
£31 0 4
324 16
30 7
9
29 12
3
2
24
6 3
23 13 9
3
18 19 9
18 12
2
18
4
4 8
17 15 4
2
12 13
6 6
12 8 I
64
40
1 2
3
Ι
II 16 10
6
1
6
5 18
51
At
1 26
Hayes's New Method for
per Ann
1.
ད
At 8 Cent. P Annum.
The Value of an Annuity upon Life, for
Age 62..
Age 63.
1. S. d. 7.
1000 5793 17 4 5641
900 5214 9 7 5077
Age 64.
s. d. 1. ง. d.
Age 65.
1. s. d.
3
6 5480 17
15312 7 7
I
2 4932 15
4781 2 3
800 4635 I 10 45:
700 4055 14
600 3476 6
I
10 4512 18
10 4384 13
8 4249 18
1 3948 16
5
3836 12
3718 13 3
4
500 2896 18 8
400 2317 10 11
300 1738 3
3384 14
2820 II
I
1
3288 10
3
3187 8
6
92740 8
6
2656 3
9
2256
9
5 2192
5 2192
6 10
2124 19
2 1692
7 o 1644 5 I
1593 14
3
200 1158 15
51128
48
1096
1096 3
5
1062 9 6
ΙΟΟ 579 7 8
8
564 2 4
548 I
8
531 4 9
901 521 8 11
507 14 I
Ι
493 5
6
478
22
80
463 10 2
451 5 10
438 9 4
424 19 9
70
405 II 4
394 17
7
383 13
2
371 17 3
60 347 12
7
338 9
4
328 17
318 14 10
50 289 13 10
282 I 2
274 0 I
265 12 4
40 231 15
I
225 12 II
30
173 16 3
169 4
8
219 4
164 8
4 8
212 9 10
6
159
7 5
115 17 6
112 16 5
109 12 4
106 4 11
57 18 9
56 8 2
54 16 2
53 2 5
9
52 2 10
50 15 4
49 6 6
47 16 2
8
46 7
45 2
2
7
43 16 11
42 9 II
40 II I
39 9 9
38 7 3
37
3 8
34 15 3
33 16 11
28 19 4
28 4 I
32 17 8
27 8
4
23 3
6
22 II 3
21 18-5
31 17 5
26 II. 2
21 4
4 5
3
17 7
16 18
5
16 8 10
15 18 8
II II
II 5
7
10 19
2
10 12 5
I
51-5 10
5 12 9
5
9
9
7
56 2
At
valuing Annuities upon Lives.
127
6
per Ann.
1.
At 8 Cent.
Annum.
The Value of an Annuity upon Life, fır
Age 66.
Age 67.
1. s. d. 1. s. d.
Age 68.
Age 69.
1. S. d. 7. 5. d.
2 4759 16
04275 14
9 3800 13
7 6 II
3325 11
4 2850 9 9 2727
21
2474 III
1000 5135 3 8 4949 2
900 4621 13 44454 4
800 4108 303959 3
700 3594 12 7 3464
600 3081 2 2 2969
500 2567 11 10
400 2054 I
300 1540 11 1
9
2 4545 I
5
7
4090 11
II
3636 I
4
3181 10 1
O
2375 8
I
2272 10
8
1979 11 10 1900 6 6
1484 14 8
1818
6
1425
4 10
1363 10
41
200 1027 O 9
989 15 11
950 3 3
909 O
3
100
513 10
4
494 17 II
475 I
7
454 10
I
90
462 3
4
4
445 8 4
427 II
5
409 I I
80
410 16
3
395 18 4
380
380 I
3
363 12
I
70
359 9 3
346 8 9
332 I I
318 3
I
60
308 2 2
296 18 11
285
II
272 14
50
256 1.5
2
247 9 I
237 10
9
227 5
40
205 8 I
197 19 2
190 0 7
181 16
30
54 I I
148 9
5
142 10
5
136 7
20
102 14
98 19 7
95 0
3
90 18
IO
51 7
499
9
47 IO
I
45 9.
9
46 4 4
44 10 10
42 15
I
40 18
I
8
41 I 7
39 II 10
38 0
I
36 7
2
7
35 18 11
34 12 10
33 5
T
31 16 3
6
30 16 2
29 13 10
28 10
I
5
25 13
6
24 14 10
23 15
4
20 10 9
19 15 11
19 0
3
15 8
27 5 4
22 14
18 3
7
I
14 16 11
14 5
13 12 8
2
IO 5
4
9 17 II
9 10
9
I
9
I
5 2
8
4 18 II
4 15 0
4.10 IC
At
128
Hayes's New Method for
per Ann.
1.
At 8 Cent. P Annum.
The Value of an Annuity upon Life, for
Age 70.
Age 71.
1. S. d. 7. s. d.
Age 72.
Age 73.
1. s. d. 1. S. d.
1
1000 4326 9 11
4036 19 10 3854 6 1 374!
6
9
900 3893 16 11
800 3461 3 11
700 3028 10 11
600 2595 17 11
500 2163 4 11
400 1730 11 11
300 1297 18 11
200 865 5 11
3633
5 10
3468 17
6 3367
4 I
3229
II
11 10
8 11 2993
I
3083
I
5
2825
17 10
2698
Q
12 II I II
I II
2422 3 11
2018 9 II
1614 15 11
12 11
2312 11
1927 3
I 8
o
3 2618 18
2244 16
1870 13
9
4
1541 14 5
1496 15 8
1156 5 10
1122
122
8
807 7 II
770 17 4
748
7 10
100
432 12 II
403 13 11
385 8 8
374 3 II
99
389 7 8
363 6 7
346 17 9
336 14 4
80
346 2 4
4
322 19 2
308 6 10
299 6 I
70
302 17
282 II
I
9
269 16 ol
261 17 10
60
259 II
9
242 4
4
4
231 5 5 2
21
224 9 7
50
216 6
5
201 16 11
192 14 3
187
I 4
40
173 I
2
161
9. 가
​7
154 3
5
149 13
30
129 15 10
[21 2
21
115 12
7
112 4
20
86 10 7
80 14 9
77 I 8
74 16
IO 43 5 5 3
40 7 4
38 10 10
37 8
4
9
38 18 9
36 6 7
34 13
9
33 13
5
8
34 12
32
5
5 II
30 5 8
28
5
2
30 16 8
26 197
29 18
7
6
25 19
2
24 4 5
23
2
6
26 3
22
9
8 11
5
21 12
7
20
38
19 5
5
18
14
I
4
17 6 I
16
2 11
15 8 4
14 19 4
3
12 19 7
12
2- 2
II II
3
II 4
4 5
8 13
4
6 6
8 I 5
4 0
7 14
2
81
3 17
I
7 9 9 8
3 14 10
FINIS.
THE UNIVERSITY OF MICHIGAN
GRADUATE LIBRARY
DATE DUE
*
*
M
!
::