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22 December, 09:37

What will be the amount accumulated by each of the given present investment? (a) (a) $5,500 in 10 years at 9% compounded semiannually. (b) (b) $12,500 in 15 years at 8% compounded quarterly. (c) (c) $13,600 in seven years at 6% compounded monthly.

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  1. 22 December, 13:04
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    Giving the following information:

    For each of the following investments, we need to use the following formula:

    FV = PV * (1+i) ^n

    (a) $5,500 in 10 years at 9% compounded semiannually.

    i = 0.09/2 = 0.045

    n = 10*2 = 20

    FV = 5,500*1.045^20 = $13,264.43

    (b) $12,500 in 15 years at 8% compounded quarterly.

    i = 0.08/4 = 0.02

    n = 15*4 = 60

    FV = 12,500 * (1.02^60) = $41,012.88

    (c) $13,600 in seven years at 6% compounded monthly.

    i = 0.06/12 = 0.005

    n = 7*12 = 84

    FV = 13,600 * (1.005^84) = $20,677.03
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