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„.