This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: (2 k1) k p x . (c) Prove that e x = e x : n + n p x e x + n . (d) Let n = 20 and assume that the force of mortality x follows De Moivres law with = 100. Calculate E [ K * 40 ] and V ar [ K * 40 ] . 4. You are given the following information about e x : x e x 75 10 . 4 76 10 . 77 9 . 5 Calculate the probability that a life aged 75 will be still alive at age 77. 1 5. Assume that l x = 8(100x ) 2 , x < 100 . (a) Calculate 40 . (b) Calculate t p 40 , t < 60. (c) Calculate the probability that (40) will die in year 10. (d) Calculate the variance of the further lifetime of (40). 6. You are given the following life table: x l x q x d x 80 1000 200 81 0.2125 82 160 83 470 84 100 85 0.4 92 (a) Calculate the probability that (80) will be still alive at age 85. (b) Calculate 3 d 81 . 2...
View Full
Document
 Summer '08
 MATTHEWTILL

Click to edit the document details