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