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ACTU PS5821 Actuarial Methods - Autumn 2024

Assignment - 5

Assigned 10/4/24, Due 10/12/24

Problem 1. Calculate 3p60 base on the following table

Problem 2. Mortality, with a select period of 5 years, follows

(a) Calculate 7p[70]

(b) Calculate 1|2q[70]+2

Problem 3.

For a 2-year select and ultimate mortality model, q[x]+1 = 0.95qx+1. Given the following expected number of survivors l76 = 98153 and l77 = 96124, calculate l[75]+1

Problem 4. Mortality, with a select period of 2 years, follows

(a) Calculate the probability that a life aged 75 who has just been selected will survive to age 85

(b) Calculate the probability that a life aged 76 who was selected one year ago will die between ages 85 and 87

(c) Calculate 4|2q[77]+1