Suppose that Xtel currently is selling at $56 per share. You buy 500 shares using $20,000 of your own money, borrowing the remainder of the purchase price from your broker. The rate on the margin loan is 6%.
a. What is the percentage increase in the net worth of your brokerage account if the price of Xtel immediately changes to: (i) $58.80; (ii) $56; (iii) $53.20? What is the relationship between your percentage return and the percentage change in the price of Xtel? (Leave no cells blank - be certain to enter "0" wherever required. Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)
i. Percentage Gain ____%
ii. Percentage Gain ____%
iii. Percentage Gain ____%
b. If the maintenance margin is 25%, how low can Xtel’s price fall before you get a margin call? (Round your answer to 2 decimal places.)
Margin call will be made at price _____ or lower
c. How would your answer to (b) change if you had financed the initial purchase with only $14,000 of your own money? (Round your answer to 2 decimal places.)
Margin call will be made at price _____ or lower
d. What is the rate of return on your margined position (assuming again that you invest $20,000 of your own money) if Xtel is selling after 1 year at: (i) $58.80; (ii) $56; (iii) $53.20? What is the relationship between your percentage return and the percentage change in the price of Xtel? Assume that Xtel pays no dividends. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)
i. Rate of return ___%
ii. Rate of return ___%
iii. Rate of return ___%
e. Continue to assume that a year has passed. How low can Xtel’s price fall before you get a margin call? (Round your answer to 2 decimal places.)
Margin call will be made at price _____ or lower
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