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Unformatted text preview: (b) Determine: f Y ( y ). (c) Calculate the 20th percentile of the distribution of Y . (9.02) 7. You are given: (i) A x = 0.30 (ii) A x : 20 = 0.40 (iii) i = 0.05 Calculate the actuarial present value of a continuous 20year certain and life annuity of 100 per year on (x). (1482.08) 8. A fund is established to pay annuities to 100 independent lives age x. Each annuitant will receive 10,000 per year continuously until death. You are given: (i) = 0.06 (ii) A x = 0.40 (iii) 2 A x = 0.25 Calculate the initial amount of the fund (in millions) so that the probability, using the normal approximation, is 0.90 that the fund will be sucient to provide the payments. (10.64) 9. You are given: (i) x ( t ) = 0.03 for t (ii) = 0.05 (iii) g is the standard deviation of a T ( x ) . Calculate: Pr ( a T ( x ) > a xg ). (0.7901)...
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 Fall '08
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 Math

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