4.24. A policy is issued at age 20 with the following graded scale of death benefits payable at the moment of death. Age 20 21 22 23 24 25-40 41 and over Death Benefits 1 000 2 000 4 000 6 000 8 000 10 000 50 000 Calculate the actuarial present value on the basis of the Illustrative Life Table with uniform distribution of deaths over each year of age and i = 0.05. (Hint: A backward recursion formula for the actuarial present value will include a function c(x) that incorporates the death benefit scale.]