K 
TEMPORARY ANNUITIES. 
129 
Or thus: 
— N 36+9 — N 45 — 11414.218 
30 
D 38 = 1293.150)342426.54 (264. 8 = £264 16 0 
** 2586300 
8379654 
7758900 
620754 
517260 
103494 
103452 
42 
2. What is the present value of an annuity of £40, to he entered 
upon at the expiration of 15 years, and then continue during the joint 
existence of two males now respectively aged 25 and 30 years? (Chester 
3 per cent.) 
log • «(25, so) = log. l„ + log. /45 + log ?' 15 — log / 25 - log. 40 4- log a 40) 45 
Table 23, log a 40)45 =log 10.977 = 1.0404837 
Table 2, Prob.log 4o =log 4516=3.6547539 
do. log 4 5 = log 4116 = 3.6144754 
(TableS, Pt.l) log r 15 =log 1.03- 1S =1.8074417 
Table 2, Prob. -log 4*= — log 5459=4.2628869 
— log 4 0 = — log 5127 = 4.2901367 
0.6701783 £4.67928=a ( „ 30) 
40 i‘ 5 
187.1712 = £187 3 5 
'(*3,30) 
3. What is the present value of an annuity of £30 for the next nine 
years, dependent on the existence of a life aged 36? (Ghtrprtrr 3 purr 
cent.) 
a aG = 15.8558 
30 
475.6740 
264.800 = value of the deferred annuity, Ex. 1. 
2107874' = £210 17 6 
By Davies’s method,— 
N, n - N, 
D„.