I 10 
Dr . price’s Theorems . 
be paid. Let p denote the value of the perpetuity, or 
the quotient arifing from dividing i j£. by its intereft for 
a year. Let y denote the value of an annuity for n years, 
fuppofing it to be paid yearly ; h its value, payable half- 
yearly ; q its value, payable quarterly ; and m its value, 
payable momently, 
THEOREM I. 
THEOREM II. 
h-F 
THEOREM III. 
i 
<7=P-' 
rx i +- 
4 * 
THEOREM IV. 
M- p-~“ where n denotes the number 
r N 
which hath rn for its hyperbolic logarithm, and 
rnx 0.43429448 for its logarithm in brigg’s fyftem. 
EXAMPLE. 
Let the rate of intereft be 4 per cent, and the term 5 
years, and confequently r = o, 0 4. n = 5 . 2-2 5. 
Then, 
