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Question

John buys a stereo system for 640 dollars. He agrees to pay 32 dollars a month for 2 years. Assuming that interest is compounded monthly, what interest rate is he paying?

Solution

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Answered 2 years ago
Answered 2 years ago
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Recall: The present value ApA_{p} of an annuity (the amount that must be invested now) where the annuity consists of

  • nn periodical (equal) payments
  • each payment of RR dollars
  • with interest rate ii per time period

is

Ap=R1(1+i)niA_{p}=R\frac{1-(1+i)^{-n}}{i}

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