130 
LIFE ANNUITIES, 
N 36 = 20503.891 
N« = 11414.218 
9089.673 
30 
D 36 = 1293.150)272690.19(210.873 
2586300 
1406019 
1293150 
£210 17 6 
112869 
103452 
94l7 
_9052 
365 
4. What is the present value of an annuity of ¿£90 for the next 10 
years, to depend on the joint existence of a male aged 50, and a female 
aged 55 ? (Chester 3 per cent, Table 23.) 
^50,55 a (50, 55) — a 50, 55 
po 
1 1 r 1 ' 
Prob.Tah.2, log.4o =log 2778 
do. log ¿ 6 5 =log 2956 
do. ar. co log ¿ 50 =ar. co log 3675 
do, ar. co log l i5 — ar. co log 3934 
Table 8, Part 1, log 1.03' 10 =1.8716278 
Table 23, log a e0 , 65 =log 6.624 =0.8211203 
ho • 4. 
= 3.4437322 
= 3.4707044 
=4.4347427 
=4.4051656 
a 60, 65 
0.4470930 = 2.800=a w 55) 
9.423=a 50>55 T° 
6.623=r/. (5 o )55 ) 
90 10 t 
596.070=596 1 5 
5. An annuity of £30 during the life of a person now aged 36 
is to be entered upon at the end of nine years: what annual pre 
mium should be required, supposing the first payment made imme 
diately, and the subsequent payments at the end of each year during the 
next nine years, subject to the existence of the life ? (Carlisle 4 per 
cent.) 
(m) 
®45 X 
L* . r 9 
Table 21, a 45 =14.10460, Table 1, / 3C =5307, ¿«=4727, 
Table 4, Part 1, r 9 ~. 702587.