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You are borrowing $20,000 to buy a car. The terms of the loan call for quarterly...

You are borrowing $20,000 to buy a car. The terms of the loan call for quarterly payments for 5 years. You know that interest is compounded quarterly and that the effective annual rate is 15%. What is the amount of each payment?

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Answer #1

r = ((1+(I/n))^n) - 1

r = Effective Interest Rate

I = Interest Rate

n = period of compounding

Calculating the I with Effective Interest Rate r, using the formulae above.

I = 14.22%

3.56% is the interest for the period.

Calculating using the PMT Function on Excel

Putting rate = 3.56% NPER = 20, PV= -20000, FV= 0, Type 0

We will get the amount 1414.34

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