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Unformatted text preview: π , and is determined by the equivalence principle. Show: π = 10 , 000[1d ¨ a x ] ¨ a x( IA ) x . 4. Show: n P x P 1 x : nP 1 x : n P 1 x : n = A x + n . 5. Suppose mortality follows the Illustrative Life Table, deaths are uniformly distributed within each year of age, and i = 6%. Calculate the annual beneﬁt premium for a 25year endowment insurance of 50,000 on (40) where: (i) the beneﬁt is payable at the moment of death (for the term part of the coverage) and (ii) (40) pays premiums at the beginning of each year. (1039.44) 6. Assume that mortality follows the Illustrative Life Table, i = 0.06, and deaths are uniformly distributed within each year of age. Calculate: P (4) 25: 20 . (0.0273)...
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 Spring '08
 Staff
 Math, Actuarial Science, Endowment policy, Term life insurance, annual beneﬁt premium

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