10
QuizMultiple Choice

Annuities

Question 10 • 26-27 Ignite Financial Literacy Personal Finance - EL3403

An account paying 3.2% interest compounded semiannually has a balance of $32,675.12. Determine the amount that can be withdrawn from the account semiannually for 5 years. Assume ordinary annuity and round to the nearest cent.

Answer
A
$3,505.80
B
$3,561.90
C
$3,039.09
D
$2,991.23

Explanation

For an ordinary annuity, the balance is the present value of the withdrawals: 32,675.12 = R[1 − (1 + 0.032/2)^−10]/(0.032/2). There are 10 semiannual withdrawals, and the interest rate per period is 0.016. Solving gives R ≈ $3,561.90, so the amount withdrawn semiannually is choice B, $3,561.90.

AI-written and checked against the verified answer.

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