ACTSC232 Quiz: Asst #1.pdf
24 Feb 2015
School
Department
Course
Professor
Document Summary
Assignment 1 due: thursday, january 31 (hand in before the beginning of class) The function 0. 1 100 , 0 x ; 0, otherwise has been proposed as a survival function for a mortality model. [24 marks] (a) what is the limiting age, ? (b) (c) (d) (e) (f) (g) (h) (i) Verify that the function satisfies the conditions for the survival function so(x). Calculate the survival function, sx(t) for a life age 30. Calculate the probability that a life aged 30 will die between ages 40 and 60. Calculate the force of mortality at age 50. Determine the median lifetime for someone age 40. Assume that mortality follows a de moivre model with = 120. (a) (b) (c) (d) (e) (a) (b) (a) (b) (c) (a) (b) Show that tpx = ( ) where g is some constant that can be determined. Suppose that 10p50 = 0. 861716 and 20p50 = 0. 718743. Let x+t = t , t 0.
