It is sometimes useful for actuaries to be able to project mortality rates within a given population. A formula sometimes used for computing the mortality rate D(t) for women in the age group 25–29 is

where t is the number of years after a fixed base year and D₀ is the mortality rate when t = 0.

a. Suppose the initial mortality rate of a particular group is 0.008 (8 deaths per 1,000 women). What is the mortality rate of this group 10 years later? What is the rate 25 years later?

b. Sketch the graph of the mortality function D(t) for the group in part (a) for 0 ≤ t ≤ 25.

Transcribed Image Text:

D(t) = (Do 0.00046)e-0.162t +0.00046