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18 August, 16:51

Suppose that Community Bank offers to lend you $10,000 for one year at a nominal interest rate of 8.00%, but you must make interest payments at the end of each quarter and then pay off the $10,000 principal amount at the end of the year. What is the effective annual rate of the loan?

a. 8.24%

b. 8.45%

c. 8.66%

d. 8.88%

e. 9.10%

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  1. 18 August, 19:44
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    a. 8.24%

    Explanation:

    The formula to compute the effective annual rate of the loan is shown below:

    = (1 + nominal interest rate : periods) ^ number of period - 1

    = (1 + 8% : 4) ^4 - 1

    = (1 + 2%) ^4 - 1

    = 1.02^4 - 1

    = 8.24%

    As the interest rate is made on a quarterly basis and we know that there are four quarters in a year and we take the same in the computation part
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