Calculate the single risk premium (to 2 decimal places) to be charged today on an insurance product that pays regular claims of $500 in 1,2,3,...,25 years from today. Use an interest rate of 4% per annum.

Respuesta :

We are given with the following:
A = 500
n = 25
i = 0.04

We solve for the single risk premium by this formula:
P = A [(1 + i)^n - 1] / [ i (1 + i)^n]
P = 500 [(1 + 0.04)^25 - 1] / [0.04 (1 + 0.04)^25]
P = 78111.04

The premium is $78,111.04.