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Month-end payments of $1,420 are made for 10 years to settle a loan of $154,900. What is the effective interest rate charged on this loan?

a. 6.5%
b. 7.2%
c. 8.1%
d. 9.3%

User HiroIshida
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1 Answer

3 votes

Final answer:

The effective interest rate charged on this loan is approximately 6.5%.

Step-by-step explanation:

To calculate the effective interest rate charged on the loan, we can use the formula for the present value of an annuity. The formula is: PV = Pmt x (1 - (1 + r)^(-n)) / r, where PV is the present value of the loan, Pmt is the monthly payment, r is the interest rate per period, and n is the number of periods.

Plugging in the given values, we have: 154,900 = 1,420 x (1 - (1 + r)^(-10*12)) / r. This equation can be solved using trial and error or using a financial calculator or spreadsheet program. The effective interest rate charged on this loan is approximately 6.5%, so the correct answer is option a.

User Swaraj Giri
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