64
QuizMultiple Choice

Cumulative Exam — Cumulative exam

Question 64 • Mathematical Models with Applications - MA4072 CR

As part of your retirement plan, you want to set up an annuity in which a regular payment of $25,312 is made at the end of each year. You need to determine how much money must be deposited earning 6.2% compounded yearly in order to make the annuity payment for 20 years.

Answer
A
$2,242.78
B
$506,240
C
$285,671.10
D
$537,626.90

Explanation

Because each payment is made at the end of the year, this is an ordinary annuity. Its present value is $25,312 × [1 − (1.062)^−20] ÷ 0.062, which is approximately $285,671.10. Therefore, the deposit needed is $285,671.10, choice C.

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