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30 September, 15:59

An investor shorts 100 shares when the share price is $50 and closes out the position six months later when the share price is $43. The shares pay a dividend of $3 per share during the six months. What is the investor's profit or loss? a. $400 loss b. $700 gain c. $300 loss d. $400 gain e. $700 loss An exchange rate is 0.700 and the six-month domestic and foreign risk-free interest rates are 5% and 7% (both expressed with continuous compounding). What is the six-month forward rate? a. 0.6738 b. 0.7120 c. 0.6800 d. 0.7030 e. 0.6930

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  1. 30 September, 16:01
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    d. $400 gain

    e. 0.6930

    Explanation:

    The computation is shown below:

    a. For investor profit or loss

    = (100 shares * $50) - (100 shares * $43) - (100 shares * $3)

    = $5,000 - $4,300 - $300

    = $400 gain

    The dividend amount and the share price after six month is deducted from the total value

    b. The six-month forward rate

    = Spot risk-free interest Rate or Foreign risk-free interest Rate * e^ (Domestic risk-free interest Rate - Foreign risk-free interest Rate) * Domestic risk-free interest Rate

    = 7% * e^ (5% - 7%) * 5%

    = 7% * e^-0.001

    = 7% * 0.99

    = 0.6930
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