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T4-232-2010W

T4-232-2010W - ACTSC 232 WINTER 2010 Tutorial 4 3:30-4:20...

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ACTSC 232, WINTER 2010 Tutorial 4 – 3:30-4:20, Monday, March 8, HH 1101 1. You are given that A 1 50: 10 = 0 . 15, 10 p 50 = 0 . 8, and i = 0 . 06. Calculate ¨ a 50: 10 . 2. You are given that 10 | ¨ a x = 4, ¨ a x = 10, ¨ s x : 10 = 15 and v = 0 . 94. Calculate A 1 x : 10 . 3. Consider the following two options of life annuities for a life ( x ): (1) A guaranteed life annuity: in which an annual payment of 300 at the beginning of each year is guaranteed for 20 years even if ( x ) dies in the ﬁrst 20 years. If ( x ) is still alive after 20 years, the annuity will continue to make payments with an annual payment of 500 at the beginning of each year until ( x ) dies. (2) A 20-year continuous temporary life annuity of π on ( x ) . You are given i = 0 . 03 and μ x ( t ) = 0 . 01 , t 0. (a) Write the expression for the present value of the payments in the guaranteed life annuity. (b) Calculate the actuarial present value of the guaranteed life annuity.

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T4-232-2010W - ACTSC 232 WINTER 2010 Tutorial 4 3:30-4:20...

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