Suppose you sell short Apple.Inc which is currently trading at $100 per share. You put $20,000 as cash into your brokerage account with an initial margin of 50%. The maintenance margin is 25%.
a. How many shares of Apple can you sell short? (8 pts)
b. How far can the stock price increase before you get a margin call? (12 pts)
N * 100 = 20,000/0.50
a. Number of Apples shares we can short, N = Cash/(Share price * Initial margin)
N = 20,000/(100 * 0.50)
N = 400
Number of Apples shares we can short is 400
b.
The stock price can increase to as high as $140 before we get a margin call.
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