Answer to Question #126507 in Financial Math for Amy

Question #126507
How many payments will it take Martha to repay a loan of $12 000 by making monthly payments of $350 at the beginning of each month if interest is 9% compounded monthly? When is the final payment made? Give answer in years and months.
1
Expert's answer
2020-07-21T18:27:43-0400

Loan amount =$12,000

Interest rate =9%

Monthly payment=$350


General formula NPER(rate, pmt, pv)

Formula, NPER"(\\frac{C6} {12} ,C7,-C5)"


rate - The interest rate per period. We divide the value in C6 by 12 since 9% represents annual interest: "\\frac{C6} {12}"


pmt - The payment made each period. This is the known amount $350, which comes from cell C7


pv - The present value, or total value of all payments now. In the case of a loan, this is input as a negative value by adding a negative sign in fron of C5: - C5


With these inputs, the NPER function returns 40 payments.


3yrs 4 months


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