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1 May, 09:04

Suppose People's bank offers to lend you $10,000 for 1 year on a loan contract that calls for you to make interest payments of $250.00 at the end of each quarter and then pay off the principal amount at the end of the year. What is the effective annual rate on the loan?

a. 9.37%

b. 8.46%

c. 10.38%

d. 8.90%

e. 9.86%

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  1. 1 May, 10:08
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    c. 10.38%

    Explanation:

    Loan Amount = $10,000

    Quarterly Interest payment = $250

    Interest Payment for the year = $250 x 4

    Interest Payment for the year = $1,000

    Nominal interest rate = ($1,000 / $10,000) x 100 = 10%

    Nominal interest rate = r = 10%

    Number of periods = m = 4

    Effective Interest rate = [ (1 + r/m) ^m]-1

    Effective Interest rate = [ (1 + 0.1/4) ^4] -

    Effective Interest rate = [ (1 + 0.025) ^4] - 1

    Effective Interest rate = 10.38%
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