RelativeResourceManagere1 - MATH 471: Actuarial Theory I...

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MATH 471: Actuarial Theory I Midterm #1 September 30, 2009 There are 6 problems on this midterm for a total of 60 points. Put your name and lecture section time on the cover of the exam booklet. Make sure that all your work is shown in the exam booklet. It is possible to earn partial credit by showing all your work. Keep at least five decimal places during each of your calculations. Refer to the accompanying Illustrative Life Table when necessary. Good luck! 1. Suppose s ( x ) = exp[ - x 2 2500 ] for x 0. Calculate: (a) The probability that (25) dies within the next 35 years. (4 points) (b) The force of mortality at age 45. (4 points) (c) The median future lifetime for (50). (4 points) 2. You are given the following life table, where missing values are indicated by “—”: x l x d x p x 0 1000.0 0.875 1 125.0 2 3 0.680 4 182.5 5 200.0 Calculate 2 | q 0 . (8 points) 3. You are given: (i) Mortality follows de Moivre’s Law with limiting age
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RelativeResourceManagere1 - MATH 471: Actuarial Theory I...

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