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19 October, 10:40

You Just won a prize that will pay you $800 today and $500 a year for the next three years. Which is the correct formula for computing the present value as of today at 6 percent?

PV = $500/1.06 + $500/1.062 + $500/1.063

PV = $800 PV $800/1.06$500/1.06+$500/1.06 $500/1.06

PV = $800 + $500/1.06 $500/1.06 + $500/1.061

PV = $800 (1.06) + $500 + $500/1.06 $500/1.06

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  1. 19 October, 13:19
    0
    The correct answer is PV = $800 + $500/1.06 + $500/1.062 + $500/1.06^3

    Explanation:

    Solution

    Given that:

    A price was wan by you today at = $800

    For the next three years = $500 a year

    Now

    We compute for the present value of today at 6%

    Thus

    Present value (PV) = $800 + $500/1.06 + $500/1.062 + $500/1.063

    Because $800 is receivable today, its present value is equal to $800,

    So,

    500 receivable after a year will be divided by 1.06

    PV = $800 + $500/1.06 + $500/1.062 + $500/1.06^3

    Therefore the right formula for computing the present value as of today at 6 percent is PV = $800 + $500/1.06 + $500/1.062 + $500/1.06^3
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