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You want to buy a new sports coupe for $93,500, and the finance office at the de

ID: 2749231 • Letter: Y

Question

You want to buy a new sports coupe for $93,500, and the finance office at the dealership has quoted you an APR of 7.5 percent for a 48 month loan to buy the car.

What will your monthly payments be? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)


What is the effective annual rate on this loan? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

You want to buy a new sports coupe for $93,500, and the finance office at the dealership has quoted you an APR of 7.5 percent for a 48 month loan to buy the car.

Explanation / Answer

EMI = [P×r×(1+r)^n]÷[(1+r)^n-1]

P is Principal payable

r is interest rate per period

n is number of payments

= [$93,500×(7.5%÷12)×(1+(7.5%÷12))^48]÷[(1+(7.5%÷12))^48-1]

= $2,260.73

Effective annual rate:

= (1+(7.5%÷12))^12-1

= 7.76%

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