Unformatted text preview: 4. Write the retrospective formula for the beneﬁt reserve at the end of the 25th policy year. 5. Prove that the two formulas in (c) and (d) are equal. 6. Calculate the beneﬁt reserve at the end of the 25th policy year. 7. Calculate the beneﬁt reserve at the end of the 10th policy year. Problem 2 You are given i = 0 . 05 and the following life table x l x 95 1000 96 920 97 550 98 120 99 50 100 Calculate 1 V 1 97: 3 , i.e. the beneﬁt reserve at the end of the ﬁrst policy year of a fully discrete 3year term insurance issued to (97). Problem 3 You are given: 5 ¯ k x = 0 . 261747; ¯ P ( ¯ A x ) = 0 . 031797; ¯ P ( ¯ A x : 15 ) = 0 . 039312; 5 ¯ V ( ¯ A x : 15 ) = 0 . 336861 . Calculate 5 ¯ V ( ¯ A x ). 1...
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 Spring '09
 david
 Actuarial Science, Demography, Endowment policy, 3year, beneﬁt reserve

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