TEMPORARY ASSURANCES. 167
Example. What is the single premium required to insure £400
payable at the end of the year in which the existence of a life aged 48
shall fail, provided that event take place within the next 7 years?
(Carlisle 4 per cent.)
r(l — t 7 p № .t) — (1 — O ff (48) a (4 8)—« 48 — -p- r 7 a &5
71 71 ¿48
log 7- 7 ^ 48 . 7 =l0g(V 7 X
log / 55 = log 4013 = 3.6099144
ar. co.logZ 48 =ar.co.log 4521 = 4.3447655
log r 7 (Table 8. Part l.)= 1-8807666
T. 8354465 .68462=^48.7
log a,,— log 11.2996= 1.0530633
0.8885098 7.7359=a (48 )
13.4191=048
5.6832=a ( 48)
1 -r= 1. —. 961538=. 038462
2386.5
192310
23077
3077
115
8
.218587
1.
.68462
.31538 =1—r 7 p 48 .7
835169.=?- inverted
283842
18923
315
158
9
2
.303249
.218587
.084662
400
”33.8648 = £33 17 3.
2nd Method
M 48 -M
D 4
X400=
306.4795—248.2218
688.0725
x400=.08466x400=33.864
= £33 17 3