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13 March, 23:51

Bank A charges a 7.50 percent annual percentage rate and interest is due at the end of the year. Bank B charges a 6.95 percent annual percentage rate and interest must be paid monthly. What is the effective annual rate charged by each bank?

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  1. 14 March, 00:10
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    Effective interest rate for Bank A is 7.5% and for Bank B is 7.18%.

    Explanation:

    BANK A

    Effective Rate = ((1 + i/m) ^n) - 1

    Effective Rate = ((1 + 0.075/1) ^1) - 1

    Effective Rate = ((1 + 0.075) ^1) - 1

    Effective Rate = ((1.075) ^1) - 1

    Effective Rate = 1.075 - 1

    Effective Rate = 0.075

    Effective Rate = 7.50%

    BANK B

    Effective Rate = ((1 + i/m) ^n) - 1

    Effective Rate = ((1 + 0.0695/12) ^12) - 1

    Effective Rate = 1.07176 - 1

    Effective Rate = 0.07176

    Effective Rate = 7.176% = 7.18%
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