Question

Pete Morton is planning to go to graduate school in a program of study that will take three years. Pete wants to have $8,000 available each year for various school and living expenses. If he earns 4 percent on his money, how much must he deposit at the start of his studies to be able to withdraw $8,000 a year for three years

Answer 1

Answer: $22,200.72

Explanation:

Given the following :

Amount Pete Morton wants to be able to withdraw each period = $8000

Number of periods = 3

Interest rate on deposit = 4%

The amount Pete must deposit at the beginning of his study to be eligible is the product of the payment per period and the present value of annuity factor.

From the present value of annuity factor table ; the factor obtained for a 3 years period at 4 % Interest rate is 2.77509

Hence,

$8000 × 2.77509 = $22,200.72