Tables And Formulae for the Computation of Life Contingencies With Copious Exam
Tables And Formulae for the Computation of Life Contingencies With Copious Exam
O P Oliver Peter Gray
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(3. ) The benefit B p it is stated in the Lemma, must be " similar " to the benefit B. The only restriction here implied, beyond those of its being of the same amount, and subject to like conditions in respect of the life or lives on which it depends, as Bj, is, that its duration shall extend to the same period of life ; in other words, that both benefits shall cease at the same age. It is no matter what that age is, whether the limiting age of the table or any less tabular age ; the formula wi...ll still apply, provided only the age of cessation in respect of both benefits is the same. The formula consequently holds in the case of temporary as well as whole life benefits. 198. (4. ) But farther, the formula holds also in the case of deferred benefits. To adapt it to such it is only necessary to make 7r = for those years in which no payment is to be made. This reduces the formula to B=^ITB 1, or log. B=log. I;IT+log. B 1 ; so that, log. Bj being found for the age immediately beyond that at which the blank years begin, log.
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