You are considering buying a new car. The sticker price is $37,750 and you have $5,000 to put toward a down payment. If you can negotiate a Flat interest rate of 7.5 percent and you wish to pay for the car over a 4-year period. What is the equivalent Annual Percentage Rate on this loan? 8.11% 14.35% 13.51% 15.69% 10.97%
It is assumed that the loan is repaid in equal monthly payments.
Given, sticker price= $37,750
Down payment= $5,000
Therefore, loan amount (A)= $37,750-$5,000 = $32,750
Interest rate (R ) = 7.5% (flat), Period (Y) =4 years and number of payments (N)= 4*12= 48
Monthly payments= (A+A*R*Y)/N = (32750+32750*0.075*4)/48 = $886.98 (Rounded)
Annual Percentage Rate (APR)= 13.51% (Rounded)
The answer is the third option given.
Calculation using RATE function of Excel as follows:
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