You sell short shares of Microsoft that are currently selling at $$100$ per share. You post $$4,500$ according the $50\%$ 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 $6$ months if Microsoft is selling at $$120?,($Ignore any dividends.$)$

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$+25\%$

$-40\%$

$+40\%$

$-25\%$