Question

# You sell short 700 shares of Microsoft that are currently selling at \$30 per share. You...

You sell short 700 shares of Microsoft that are currently selling at \$30 per share. You post the 40% margin required on the short sale. If you earn no interest on the funds in your margin account, what will be your rate of return after 1 year if Microsoft is selling at \$27? (Ignore any dividends.)

If we short sell 700 shares @ at \$30 per share, then sale value is: 700 * \$30 = \$ 21,000

The margin required:40% on the short sale.

It means the total margin used: \$ 21,000 * 40% = \$ 8,400

Profit earned on short sale: (\$ 30 - \$ 27) * 700 shares = \$2,100

Hence, the rate of return: Profit earned / Margin used = \$2,100/ \$8,400 = 0.25 or 25%

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