Answer: $5,569,758.43
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
