Assignment 1

# Assignment 1 - FIN 3220A Actuarial Models I First Term 2005-2006 Assignment 1 Hand in the solutions on or before 6 October 2005 1 100 x for 0 x 100

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1 FIN 3220A Actuarial Models I First Term 2005-2006 Assignment 1 Hand in the solutions on or before 6 October 2005. 1. You are given the survival function () 100 for 0 100 10 X x sx x =≤ . Calculate F X (75), f X (75) and µ (75). 2. You are given the survival function 2 9000 10 , 0 90. 9000 xx x −− Calculate the exact value of 50 50 q −µ . 3. If the force of mortality is constant and equal to ln(10/9) from age 76 to age 80, how many of 1000 persons aged 76 will be expected to survive to age 80? 4. If 2 x x ax µ= , find x p . 5. You are given the survival function 1 1 x = + . Determine the median future lifetime of ( y ). 6. For a two-year select-and-ultimate table, you are given: [] 12

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## This note was uploaded on 05/21/2011 for the course FIN 3220 taught by Professor Cswong during the Spring '05 term at CUHK.

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Assignment 1 - FIN 3220A Actuarial Models I First Term 2005-2006 Assignment 1 Hand in the solutions on or before 6 October 2005 1 100 x for 0 x 100

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