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20 September, 17:36

An auto dealership is advertising that a new car with a sticker price of $35,208 is on sale for $25,995 if payment is made in full, or it can be financed at 0% interest for 72 months with a monthly payment of $489. Note that 72 payments * $489 per payment = $35,208, which is the sticker price of the car. By allowing you to pay for the car in a series of payments (starting one month from now) rather than $25,995 now, the dealer is effectively loaning you $25,995. If you choose the 0% financing option, what is the effective interest rate that the auto dealership is earning on your loan?

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  1. 20 September, 18:38
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    The answer is: APR = 10.56%

    Explanation:

    Using an excel spreadsheet and the RATE function, we can calculate the monthly interest rate of buying the car:

    =RATE (72,-489,25995)

    = 0.8803% monthly interest rate

    Then we multiply the monthly interest rate by twelve to get the APR:

    APR = 0.8803% x 12 = 10.56%
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