43
RCMultiple Choice

Cumulative Exam — Cumulative exam

Question 43 • Mathematical Models with Applications - MA4072 CR

Robert wants to start an IRA that will have $550,000 in it when he retires in 25 years. How much should he invest quarterly in his IRA to do this if the interest is 6% compounded quarterly? Assume an Annuity Due. Round to the nearest cent.

Answer
A
$2,368.29
B
$2,378.30
C
$2,403.81
D
$2,408.91

Explanation

There are 25 × 4 = 100 quarterly deposits, and the interest rate per quarter is 6% ÷ 4 = 1.5%. For an annuity due, the future value factor is ((1.015^100 − 1) ÷ 0.015) × 1.015, which is about 232.2351. Dividing $550,000 by that factor gives a quarterly investment of about $2,368.29, so the correct choice is $2,368.29.

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