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Unformatted text preview: F Y ( y ) = 0 for y < =ln(1. 05 y ) 3 for 0 ≤ y < ¯ a 20 = 1 for ¯ a 20 ≤ y (b) Calculate the 20th percentile of the distribution of Y . (9.02) 4. 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 20year certain and life annuity, with payment rate = 100 per year, that is purchased by (x). (1482.08) 5. For a continuous whole life annuity on (x) with payment rate = 1/year: (i) δ t = 0.04 for 0 < t ≤ 10, δ t = 0.06 for 10 < t (ii) μ x ( t ) = 0.06 for 0 < t ≤ 10, μ x ( t ) = 0.08 for 10 < t Calculate the APV. (8.95)...
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 Spring '08
 Staff
 Math, Actuarial Science, Life annuity, Life table, Actuarial present value, Abraham de Moivre, payment rate

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