T2-232-2010W

T2-232-2010W - ACTSC 232, WINTER 2010 Tutorial 2 –...

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Unformatted text preview: ACTSC 232, WINTER 2010 Tutorial 2 – 3:30-4:20, Monday, February 1, HH 1101 1. You are give a 5-year select and ultimate life table: x l [ x ] l [ x ]+1 l [ x ]+2 l [ x ]+3 l [ x ]+4 l x +5 95 220 204 130 60 36 10 96 200 118 56 34 8 3 97 100 46 30 6 (a) Calculate a life aged 96 will still survive at age 98 if the life was selected at age 95. (b) Calculate 2 | 3 q [95] . (c) Calculate 2 d [97]+1 . (d) Calculate 6 d [95] . (e) Calculate e [96] . 2. A continuous life insurance is issued to (30). If (30) dies in the first 20 years, the death benefit is 1000. If (30) dies in the second 20 years, the death benefit is 2000. If (30) dies after 40 years, the death benefit is 3000. You are given δ = 0 . 02 and De Moivre’s law with ω = 110. (a) Let Z denote the PV random variable of the death benefits. Write the expression of Z . (b) Calculate the net premium of the insurance. (c) Calculate V ar ( Z )....
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This note was uploaded on 03/20/2011 for the course ACTSC 232 taught by Professor Matthewtill during the Summer '08 term at Waterloo.

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T2-232-2010W - ACTSC 232, WINTER 2010 Tutorial 2 –...

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