19
QuizMultiple Choice

Annuities

Question 19 • 26-27 Ignite Financial Literacy Personal Finance - EL3403

David has a bank account which pays interest at the rate of 1.5% per year, compounded annually. Determine what amount David must have in the bank, given that he would like to draw an annual salary of $32,635.15 from his account at the end of each year for 30 years. Round to the nearest cent.

Answer
A
$783,760.48
B
$979,054.50
C
$1,225,080.50
D
$795,516.88

Explanation

Because each withdrawal is made at the end of the year, this is the present value of an ordinary annuity. Use PV = PMT × [1 − (1 + i)^−n] ÷ i, with PMT = $32,635.15, i = 0.015, and n = 30. This gives a present value of about $783,760.48, so David must have $783,760.48 in the bank. That is choice A.

AI-written and checked against the verified answer.

Previous
Next