C ^3 ) 
by the Table of Logarithms : For the Arithmetical 
Complement of the Logarithm of Unity and its yearly 
Intereft ( that is, of i , ©6 for Six per Cent, being 
9, 974694.) being multiplied by the number of years 
propcied, gives theprefent value of One Pound pay a- . 
ble after the end of fb many years. Then by the foregoing 
Proportion, it will be as the number of Perfons living 
after that -term of years, to the number dead ; fo are 
the Odds that any one Perfon is Alive or Dead, And 
by confequence, as the Sum of both or the number of 
Perfons living of the Age firft propofed, to the number * 
remaining after ib many years, (both given by theTa- 
ble) fo the prefent value of the yearly Sum payable af- 
ter the term propofed, to the Sum which ought to be 
paid for the Chance the perfon has to enjoy luch an An- 
nuity after fo many Years. And this being repeated 
for every year of the perfons Life, the Sum of all the 
prefent Values of thofe Chances is the true Value of 
the Annuity. This will without doubt appear to be a 
moft laborious Calculation, but it being one of the prin- 
cipal Ufes of this Speculation, and having found igme 
Compendia for the Work, I took the pains to compute the 
following Table, being the fhort Refult of a not or- 
dinary number of Arithmetical Operations ; It ftews 
the Value of Annuities for every Fifth Yearof Age, to 
the Seventieth, as follows. 
Age. 
Years Purchafe. 
Age. 
Yrars Purchafe. 
Years Purchafe. 
I 
io,z8 
I2,,Z7 
5° 
5 
13,40 
30 
u,7z 
55 
10 
*3>44 
35 
11, 12. 
60 
7,60 
if 
*3>33 
40 
65 
6,54 
10 
1.1,78 
45 
%9* 
70 
D 
Thi? 
