If $80,000 is invested in an annuity that earns 5.3%, compounded quarterly, what payments will it provide at the end of each quarter for the next 8.5 years?

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter5: The Time Value Of Money
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If $80,000 is invested in an annuity that earns 5.3%, compounded quarterly, what payments will it provide at the end of each quarter for the next 8.5 years?

Expert Solution
Step 1

The total number of years is 8.5.

The total number of quarters will be (8.5 × 4) = 34.

Interest rate is 5.3%, compounded quarterly.

Interest rate per quarter is (5.3% ÷ 4) = 1.325%.

 

The below expression can be used to calculate quarterly payments:

Finance homework question answer, step 1, image 1

Here,

 i is interest rate.

n is the number of payments.

Step 2

The amount of quarterly payment is:

Finance homework question answer, step 2, image 1

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