ASSURANCES ON LIVES. 101 
M 
What annual premium would be required to secure the same ? 
1st method. 
1 “t" Ctas 
c 8B +l = 17.0412)241.192(14.153 
170412 
70780 
68165 
2615 
1704 
911 
852 
“59 
2nd method, 
17.0412) 1.000000 (.058681 
852060 .038462= 1 —r 
147940 .020219 
136330 700 
11610 14.153 
10225 
1385 
1363 
22 
3rd method, 
Table 13, M 85 = 468.2037 N 34 = 23155.8543 
23155.85 )468.2037 ( .020219 
' '■ 4631170 700 
“50867 14.153 
46311 
4556 
2316 
2240 
4th method, 
Table 13, - (1-r) = - (I - 1.04- 1 )= 
■ 1358 - 81 . 37 . _ .038462= .058681-038462= .020219 
23155.85 
then .020219 x700=£l4.153=^14 3 1, 
195. It sometimes happens that persons effecting an insurance for 
the whole term of life, wish to pay a limited number of annual pre 
miums ; the formula for finding what the premium should be (accord 
ing to what has been said in Art. 140), is evidently