Question:

A five-year endowment insurance of 2000 issued to (x). The benefit is payable at the moment of death. You are given:

a) Force of interest of 0.04

b) The conditional probability of death in [x+t, x+t+∆t] given survival at time x+t (for small (∆t)) is proportional to ∆t/(60-t);

c) The complete life expectancy of (x) is 20 years.

Calculate the single benefit premium of this insurance.

I know the equations for the endowment insurance and for complete life expectancy. But I do not know how to convert life expectancy to calculate endowment insurance. I have not gotten a single clue of what b is stating. Any hint would be appreciated. Thank you.