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RelativeResourceManager4

# RelativeResourceManager4 - 4 Suppose mortality follows the...

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MATH 471: Actuarial Theory I Homework #4: Fall 2009 Assigned September 16, due September 23 1. Fill in the missing entries for the following life table: x l x p x q x d x e x 96 10 97 7 98 3 99 1 1 2. You are given the following life table: x l x p x d x 50 800 0.97 51 33 52 31 53 29 54 0.96 Calculate the expected number of deaths between ages 53 and 55. (56.32) 3. If q 70 = 0.04 and q 71 = 0.05, calculate the probability that (70.6) will die within the next 0.5 years under: (a) the UDD assumption within each year of age. (0.02131) (b) the constant force assumption within each year of age. (0.02123) (c) the Balducci assumption within each year of age. (0.02115)

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Unformatted text preview: 4. Suppose mortality follows the Illustrative Life Table, where deaths are assumed to be uniformly distributed between integer ages. Calculate the median future lifetime for (40). [Hint: Under UDD: l x + t = (1-t )( l x ) + t ( l x +1 ), where x is an integer and ≤ t ≤ 1.] (37.58) ***************MORE QUESTIONS ON BACK!!!*************** 1 5. Mortality follows the select-and-ultimate table: [ x ] l [ x ] l [ x ]+ 1 l x + 2 x + 2 30 9,906 9,904 9,901 32 31 9,902 9,900 9,897 33 32 9,898 9,896 9,892 34 33 9,894 9,891 9,887 35 34 9,889 9,886 9,882 36 Calculate 1 | q [30] . ( 0.0003028 ) 2...
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RelativeResourceManager4 - 4 Suppose mortality follows the...

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