e 2 
REVERSIONS. 
51 
Example. The reversion of a fee simple estate after 10 years is sold 
for £613 18 3i, what annual return should it produce to allow the 
purchaser 5 per cent interest for his money ? 
d = 10 i = .05 p = 613.914 
.05 
30.6957 
98826.1 
30696 
18417 
614 
245 
24 
3 
49.999 Answer £50. 
66. To find (d) the number of years deferred. 
... RA a (1 + i)~ d 
Art. 64. p = ; 
l 
multiplying by i and dividing by a, 
(i + o- d = 
tp 
by logarithms, 
— d x log (1 + 0 = log , 
log 
ip 
log (1 + 0 
Example. If an annuity of £50 be purchased for £613 18 3^ at 
5 per cent interest, what period must expire before the annuity is 
entered upon ? 
V - 613 18 3£ — 613.914 
.05 
50)30.6957 
.613914; 
i = .05 
ip 
ip 
a 
a = 50 
— log 
ip 
log .613914 _ .211892 
log (T + 0 “ log 1.05 “ .0211892 
67. To find (0 the annual rate of interest. 
— 10 years. 
ip 
a 
Art. 64. (1 + i)~