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21 April, 03:07

Anthony deposits $650 into an annuity at the end of every quarter for 5 years. The fund holds international stocks, and it yields about 12% compounded quarterly. Find the interest earned after 5 years.

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  1. 21 April, 06:17
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    The future value annuity is given by:

    FV=P[ (1+r) ^n-1]/r

    where:

    P=principle=$650

    r=rate=0.12/4=0.03

    t = time=5*4=20

    Hence our future value annuity will be:

    FV=650[ (1+0.03) ^20-1]/0.03

    FV=650*0.80611/0.03

    FV=650*26.870375

    FV=$17,465.75

    The answer is $17,465.75
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