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30 November, 15:15

You deposit $3000 in an account that pays 7% interest compounded semiannually. After 4 years, the interest rate is increased to 7.28% compounded quarterly. What will be the value of the account after 8 years?

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  1. 30 November, 17:03
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    The multiplier for the first 4 years is

    ... m1 = (1 +.07/2) ^ (2*4) ≈ 1.316809

    The multiplier for the last 4 years is

    ... m2 = (1 +.0728/4) ^ (4*4) ≈ 1.334534

    So the value at the end of 8 years will be

    ... $3000*m1*m2 ≈ $5,271.98
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