ACTSC232 Quiz: Problem Set 4 Solutions.pdf
24 Feb 2015
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Actsc 232 winter 2013 tutorial problem set #4 solutions. ***please give numerical answers to 5 decimal places whenever possible. = 0. 95311: find the probability of a life age 72 selected for insurance at age 70 will die by age, [1 mark, 2q[70] + 2 =1 2p[70] + 2 = 1 - = 0. 01862: find the probability of a life age 71 selected for insurance at age 70 will die between ages 73 and 75. = 0. 02385: use the following information to answer all parts of this question. You don"t have to solve the integral, just write down the expression. [1 mark: e[z] = 25 = tpx x+tdt = tpx x+tdt, determine e[z] if we assume a constant force of mortality, = 0. 06 and a force of interest, = 0. 04 (no limiting age here). [2 marks: e[z] = 25 = , e[z] = 25 = tpx x+tdt = e-0. 04tdt, determine the variance of the distribution of z.
