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15 August, 14:59

You inherit $114,000 today. Rather than spending it, you decide to invest it. If you earn 9% per year (compounded annually), how much money will you have in 31 years

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  1. 15 August, 18:09
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    Money in 31 years will be = $1,648,641.73

    Explanation:

    As per the given dа ta:

    Inherit Money (PV) = $114,000

    Interest rate (i) = 9% p. a (Compounding is done annually as said in the question)

    Holding period (n) = 31 years.

    Money to have in is the Future value (FV) = ?

    We can use following time value formula to calculate the future value -

    FV = PV * (1 + i) ^ n

    putting the values:

    FV = 114,000 * (1 + 0.09) ^ 31

    FV = 114,000 * (14.461769531353)

    Thus,

    Future Value is = $1,648,641.73
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