This preview shows page 1. Sign up to view the full content.
Unformatted text preview: (c) i n l x + t μ x + t dt = l xl x + n 3. Makeham’s mortality law (similar to Gompertz) assumes that μ x = A + Bc x for all x ≥ 0. (a) Show that t p x = s t g c x ( c t1) , and specify the values of s and g . (b) Suppose you know the values of 5 p 45 , 5 p 50 , and 5 p 55 . Show that c = ( log ( 5 p 55 )log ( 5 p 50 ) log ( 5 p 50 )log ( 5 p 45 ) ) . 2 (c) With A = 0 . 0035, B = 0 . 0001, and c = 1 . 07, calculate 4 . 5  6 . 3 q 48 . 6 . 4. Given the following life table, x 52 53 54 55 56 57 58 l x 89,948 89,089 88,176 87,208 86,181 85,093 82,719 Calculate the probability that (a) a life age 52 lives to age 58 (b) a life age 52 dies between age 54 and 56 (c) a life age 55 dies before age 57 (d) BONUS a life age 52.3 dies between age 55 and 55.5, assuming UDD. 1...
View
Full
Document
This note was uploaded on 03/20/2011 for the course ACTSC 232 taught by Professor Matthewtill during the Summer '08 term at Waterloo.
 Summer '08
 MATTHEWTILL

Click to edit the document details