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Nezavi [6.7K]
4 years ago
5

You want to buy a new sports coupe for $84,500, and the finance office at the dealership has quoted you an apr of 6.6 percent fo

r a 48 month loan to buy the car. what will your monthly payments be?
Business
1 answer:
Margaret [11]4 years ago
8 0

Answer: The monthly payment will be $2007.81.

We have:

Cost of the sports coupe (PV)                     $84,500

Annual Percentage Rate (APR)                         6.6%

Loan tenure in months (n)                                    48

We can find the monthly payment by using the Present value of an annuity formula:

\mathbf{PV_{Annuity}= PMT * \left ( \frac{1-(1+r)^{-n}}{r} \right )}

Since APR is a yearly number, we need to convert it into a monthly rate.

So , r = \frac{0.066}{12} = 0.0055

Plugging values in the PV formula above we get,

\mathbf{84500 = PMT * \left ( \frac{1-(1+0.0055)^{-48}}{0.0055} \right )}

\mathbf{84500 = PMT * \left ( \frac{1-0.768529253}{0.0055} \right )}

\mathbf{84500 = PMT * \left ( \frac{0.231470747}{0.0055} \right )}

\mathbf{84500 = PMT * 42.08559028}

\mathbf{\frac{84500}{42.08559028}= PMT}

\mathbf{PMT = 2007.813112}



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Reducing the money supply any other way would mean as both countries are trade partners there will be demand for Yank but as supply is constricted, it would again appreciate.

Hope that helps.

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