Question

Entertainer's Aid plans five annual colossal concerts, each in a different nation's capital. The concerts will raise funds for an endowment which would provide the World Wide Hunger Fund with $3,000,000 per year into perpetuity. The endowment will be given at the end of the fifth year. The rate of interest is expected to be 9 percent in all future periods. How much must Entertainer's Aid deposit each year to accumulate to the required amount

Answer 1

Answer: $5,569,758.43

Step-by-step explanation:

First you need to find the present value of the Perpetuity at the end of the fifth year.

Present value of Perpetuity = Amount / Interest rate

= 3,000,000 / 9%

= $33,333,333.33

Given an interest rate of 9%, Entertainer's aid should deposit an amount per year that would lead to the endowment having $33,333,333.33 at the end of the fifth year.

Future value of annuity = Annuity * Future value of annuity interest factor, 9%, 5 years

33,333,333.33 = Annuity * 5.9847

Annuity = 33,333,333.33 / 5.9847

= $5,569,758.43