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Please show step by step to solve problem Let's assume you sold short 200 shares of...

Please show step by step to solve problem

Let's assume you sold short 200 shares of common stock at $60 per share. The initial margin is 50%. What would be the maintenance margin if a margin call was made at a stock price of $72?


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Answer #1

shares of common stock=200
Price per share=$60

stock price = $72

The initial margin is 50%=0.50

Equity=  (shares of common stock*Price per share)*initial margin +((shares of common stock*Price per share)

=(200*60)*0.50 +(200*60)

=12,000*0.50 +12,000

=18,000

Maintenance Margin=(Equity - (shares of common stock*stock price))/ (shares of common stock*stock price)

=(18,000-200(72))/200(72)

=(18,000-14,400)/14,400

=0.25

or 25%

Maintenance Margin=25%

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