T3-232-2010W

T3-232-2010W - ACTSC 232 WINTER 2010 Tutorial 3 –...

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Unformatted text preview: ACTSC 232, WINTER 2010 Tutorial 3 – 3:30-4:20, Monday, February 22, HH 1101 1. A 5-year term endowment insurance on (75) pays 2000 at the moment of death if (75) dies during the 5-year term and 1200 at the end of the 5-year term if (75) is still alive then. Assume that δ = 0 . 03 and l x = 100- x, ≤ x ≤ 100. (a) Write the expression for the present value of the benefits. (b) Calculate the actuarial present value of the insurance. (c) Calculate the variance of the present value of the benefits. (d) Calculate the probability that the present value of the benefits will be between 1700 and 1900. (e) Calculate the probability that the present value of the benefits will be between 900 and 1100. 2. You are given that i = 0 . 03 and De Moivre’s law with ω = 110. Calculate (a) A 1 50: 20 . (b) A 50: 20 . (c) ( IA ) 50 . 3. You are given i = 0 . 05 and the following life table x l x 95 100 96 90 97 50 98 10 99 4 100 (a) Consider a continuous 3-year term endowment insurance of 1000 on (95).(a) Consider a continuous 3-year term endowment insurance of 1000 on (95)....
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T3-232-2010W - ACTSC 232 WINTER 2010 Tutorial 3 –...

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