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21 October, 08:40

Your goal is to be able to withdraw $5,400 for each of the next nine years beginning one year from today. The return on the investment is expected to be 11%. The amount that needs to be invested today is closest to: (FV of $1, PV of $1, FV of $1, and PVA of $1) (Use appropriate factor (s) from the tables provided.)

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  1. 21 October, 08:52
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    Annuity per period (A) = $5,400

    Interest rate (r) = 11% = 0.11

    Number of years (n) = 9 years

    PV = A (1 - (1 + r) - n)

    r

    PV = $5,400 (1 - (1+0.11) - 9)

    0.11

    PV = $5,400 (1 - (1.11) - 9)

    0.11

    PV = $5400 x 5.5370

    PV = $29,899.80

    The amount that needs to be invested today is $29,899.80.

    Explanation:

    In this case, we need to calculate the present value of an ordinary annuity by using the above formula.
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