Principles of Insurance

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We have found that the annual premium at 50 years of age for a whole life 1000 policy under the American Mortality Table at 3 per cent is 36. 36. If each of the 69, 804 members now living pay this sum, the amount at the close of the year with its 3 per cent interest accumulations will be 2, 615, 215. 64. From this sum the 962, 000 death claims will be paid, leav- ing 1, 653, 215. 64 as the terminal reserve at the close of the first year of the policy which divided by the 68, 842 then living at ...age 51 gives 24 as the individ- ual reserve at the close of the first policy year. But we have just shown that the individual reserve in the 182 PRINCIPLES OF INSURANCE case of the single premium was far greater than the sum just calculated. Again the net annual premium for a person age 51 is not $21, the individual reserve of the last calculation. Can the company be said to be equally as solvent as in the first case ? If so, how shall we reconcile these apparent discrepancies ? The explanation is to be found in the difference in the terms of the contract.

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