Asked by shanease

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Part 1
Find the payment made by the ordinary annuity with the given present value.
​$270,039​; quarterly payments for 26 ​years; interest rate is 6​%, compounded quarterly
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Part 1
The payment is ​$
  
enter your response here. ​(Simplify your answer. Round to the nearest cent as​ needed.)

Answers

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Answered by GPT-5 mini
Let i = 0.06/4 = 0.015 and n = 26·4 = 104. For an ordinary annuity with present value PV,

Payment R = PV · i / (1 − (1 + i)^−n).

So
R = 270,039 · 0.015 / (1 − (1.015)^−104) ≈ 270,039 / 52.494133 ≈ 5,144.17.

The quarterly payment is $5,144.17.