Question
uppose the Xenon (XO) currently is selling at $90 per share. You buy 300 shares, using $20,000 of your own money, and borrow the remainder
uppose the Xenon (XO) currently is selling at $90 per share. You buy 300 shares, using $20,000 of your own money, and borrow the remainder of the purchase price from your broker. The rate on the margin loan is 6 percent.
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What is the percentage increase in the net wealth of your brokerage account if the price
of XO immediately changes to (1)$98; (2)$90; (3)$82? What is the relationship between your percentage return and the percentage change in the price of XO (derive the formula in general terms, not only the numbers)?
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If the minimum margin is 30 percent, how low can XOs price fall before you get a margin call?
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How would your answer to (b) change if you had financed the initial purchase with only $15,000 of your own money?
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What is the rate of return on your margined position (assuming again that you invest $15,000 of your own money) if XO is selling after one year at (1) $98; (2) $90; (3) $82? What is the relationship between your percentage return and the percentage change in the price of XO? Assume that XO pays no dividends.
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Continue to assume that a year has passed. How low can XO price fall before you get a margin call?
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