Suppose that Xtel currently is selling at $20 per share. You buy 1,000 shares using $15,000 of your own money, borrowing the remainder of the purchase price from your broker. The rate on the margin loan is 8%.a. What is the percentage increase in the net worth of your brokerage account if the price of Xtel immediately changes to: (i) $22; (ii) $20; (iii) $18? What is the relationship between your percentage return and the percentage change in the price of Xtel?b. If the maintenance margin is 25%, how low can Xtel’s price fall before you get a margin call?c. How would your answer to (b) change if you had financed the initial purchase with only $10,000 of your own money?d. What is the rate of return on your margined position (assuming again that you invest $15,000 of your own money) if Xtel is selling after 1 year at: (i) $22; (ii) $20; (iii) $18? What is the relationship between your percentage return and the percentage change in the price of Xtel? Assume that Xtel pays no dividends.e. Continue to assume that a year has passed. How low can Xtel’s price fall before you get a margin call?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Suppose that Xtel currently is selling at $20 per share. You buy 1,000 shares using $15,000 of your own money, borrowing the remainder of the purchase price from your broker. The rate on the margin loan is 8%.
a. What is the percentage increase in the net worth of your brokerage account if the price of Xtel immediately changes to: (i) $22; (ii) $20; (iii) $18? What is the relationship between your percentage return and the percentage change in the price of Xtel?
b. If the maintenance margin is 25%, how low can Xtel’s price fall before you get a margin call?
c. How would your answer to (b) change if you had financed the initial purchase with only $10,000 of your own money?
d. What is the rate of return on your margined position (assuming again that you invest $15,000 of your own money) if Xtel is selling after 1 year at: (i) $22; (ii) $20; (iii) $18? What is the
relationship between your percentage return and the percentage change in the price of Xtel?
Assume that Xtel pays no dividends.
e. Continue to assume that a year has passed. How low can Xtel’s price fall before you get a margin call?

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