You have decided to purchase a car that costs $17,500. You will pay $2,000 down and will finance the rest. You plan on making monthly payments of $400 for 60 months. What is the monthly interest? What is the annual interest rate?
ANSWER: (there seems to be a word missing as as it should be monthly interest rate and not monthly interest as monthly interest will vary every month )
Purchase price of car = $17,500
money taken on loan = purchase price of house - downpayment
money taken on loan = $17,500 - 2,000 = $15,500
i = ?
n = 5 year or 60 months
In order to find the monthly payment we will use the following formula.
monthly payment = money taken on loan(a/p,i,n)
400 = 15,500(a/p,i,60)
400 = 15,500(a/p,i,60)
400 / 15500 = (a/p,i,60)
0.025866 = (a/p,i.60)
solving for i via trial and error we get i = 1.563%
so the monthly interest rate is 1.563%
the annual interest rate will be 1.563% * 12 = 18.756%
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