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16 February, 06:45

Rachel sells 100 shares short at $43. The sale requires a margin deposit equal to 60 percent of the proceeds of the sale. If the investor closes the position at $49, what was the percentage earned or lost on the investment? If the position had been closed when the price of the stock was $27, what would have been the percent earned or lost on the position?

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  1. 16 February, 10:43
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    23.25%; 62.01%

    Explanation:

    (a) Amount received:

    = No. of shares * selling price

    = 100 * $43

    = $4,300

    Sales deposit = 60% of Amount received

    = 0.6 * $4,300

    = $2,580

    Amount paid = No. of shares * Purchase price

    = 100 * $49

    = $4,900

    Therefore, Loss = $4,900 - $4,300

    = $600

    (b) If buys at $27, then

    Amount paid = $27 * 100

    = $2,700

    Profit = $4,300 - $2,700

    = $1,600

    Loss on investment:

    = ($600 : $2,580) * 100

    = 23.25%

    Profit on investment:

    = ($1,600 : $2,580) * 100

    = 62.01%
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