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22 December, 12:02

Suppose that 2 years ago you bought an old record player at a yard sale for $10. You saw today on E-bay that the same record player is selling for $79.99. If you were to sell the record play at that price today, what would be the implied return percentage?

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  1. 22 December, 12:06
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    182.8%

    Explanation:

    Since i have purchased the old record player 2 years ago at the price of $10 which is now selling for the price of the $79.99, the implied percentage in this case shall be determined as follows:

    Future value=Present value (1+return percentage) ^2

    In the given question

    Future value=$79.99

    Present value = Price of old record player two year ago=$10

    $79.99=$10 (1+return percentage) ^2

    $7.999 = (1+return percentage) ^2

    Taking square root on both sides

    2.828=1+return percentage

    2.828-1=Return percentage

    Return percentage=1.828 or 182.8%
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