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Your cousin wants to buy a car but he really can’t afford it. He needs a loan of

ID: 2712975 • Letter: Y

Question

Your cousin wants to buy a car but he really can’t afford it. He needs a loan of $22,000. The finance manager at the dealership offers him something like a loan in which your cousin will get the $22,000 and will pay $413 per month for the next 60 months with an additional payment of $3,000 (which the car will surely be worth!) in the 60th month. What interest rate is your cousin really going to pay? Ignore taxes. Show your work. If you use Excel, show the formula with the parameters, and the answer. If you use a formula, provide the standard formula, the formula with terms substituted, and the answer. If you use a calculator, show the inputs and the answer

Explanation / Answer

Amount = Principal ( 1+ R)T

(413 *60 + 3000) = 22000 ( 1+R)5 [ Time = 60 Months i.e. 5 Years]

27780 =22000 (1+R)5

27780 / 22000 = (1 + R)5

1.27 (approx) = (1 + R)5

(1.05)5 = ( 1 + R)5

R = 0.05 i.e. 5 % (approx)

Conclusion:- your cousin really going to pay interest @ 5 % Per Annum approximately.

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