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A person has a $350 monthly car payment, which is based on 12% annual interest, compounded monthly. Determine the amount of car bought if it was financed for 60 months and no down payment was paid.

User Nbro
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1 Answer

7 votes

Answer: $15,734

Step-by-step explanation:

The monthly interest is;

= 12%/12

= 1% per month

The Present value of the monthly payments is the cost of the car and since this is a specified periodic payment, the present value of an annuity can calculate it;

= 350 *
(1 - (1 + 0.01)^(-60) )/(0.01)

= 350 * 44.9550384

= $15,734

User Kit Ng
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