Life Insurance Premiums And Reserves

Cover Life Insurance Premiums And Reserves
Life Insurance Premiums And Reserves
S Homans
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As already shown, the net single premium at age 40 to secure one dollar, or unity, payable at the end of the year when death occurs, is .3675747. Proportionally, a net single premium of $16.43311 would secure $44.7341 payable at death. But $16.44311 is also the net present value at age 40 of an annual premium of one dollar.
Therefore, a net level or uniform premium of $22.3543 would, at age 40, secure $1000 payable at death. [See column (6), Table No. 1.] Let us now suppose a company to consist
... of 78,106 persons, each aged 40 years, each insured for $iooo, or $78,106,000 in all, and each paying the net annual pre- mium of $22.3543. The following table No. 3 has been prepared to show the progress of the fund each year until the last death claim has been paid at the age of 96 years, on the basis of the American Experience Table and four per cent interest Column Table No. 3.
78,106 Persons. Aged 40 Years, Insured for $1,000 Each.
I Age. I Premiums.
Fund at Beginning of Year.
40 41 42 43 4J 46 47 48 49 50 51 52 53 54 55 5'' 5 l 58 59 60 61 6a 63 s 66 67 68 69 70 7i 72 73 74 75 76 77 78 79 80 81 82 83 & 86 87 88 89 90 9 1 92 93 9^ 95 $1,746,030 1,728.930 1.711.630 1,694,080 1.676,260 1,658,110 1.639.600 1 620,640 1,601,190 1,581,170 1560,440 1.


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