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Unformatted text preview: 30year term insurance on (25) that pays 1000 at the moment of death. (56,723.81) 5. Assume μ x ( t ) = μ and δ t = δ for t ≥ 0. Show that: ¯ A 1 x : n = μ μ + δ [1exp[( μ + δ ) n ]]. 6. A continuous nyear term insurance of 1 on (x) has an actuarial present value of 0.070579. You are given: (i) μ x ( t ) = 0.007 for t ≥ (ii) δ t = 0.05 for t ≥ Calculate: n. (15) 7. For a special 10year term insurance on (x), payable at the moment of death: (i) μ x + t = 0.05 for t ≥ (ii) δ = 0.08 (iii) The death beneﬁt at time t is b t = e . 06 t for t ≤ 10; b t = 0 for t > 10. (iv) Z is the present value random variable for this insurance at issue. Calculate: var ( Z ). (0.2004)...
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 Fall '08
 Staff
 Math, Actuarial Science, Life table, value random variable, selectandultimate life table

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