Investments, tenth edition



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3

  How Securities Are Traded  



89

   11.  Suppose that Intel 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 

Intel  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 Intel?  

    b.   If the maintenance margin is 25%, how low can Intel’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 Intel 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 Intel? 

Assume that Intel pays no dividends.  

    e.   Continue to assume that a year has passed. How low can Intel’s price fall before you get a 

margin call?     

   12.  Suppose that you sell short 1,000 shares of Intel, currently selling for $20 per share, and give 

your broker $15,000 to establish your margin account.

     a.   If you earn no interest on the funds in your margin account, what will be your rate of return 

after 1 year if Intel stock is selling at: (i) $22; (ii) $20; (iii) $18? Assume that Intel pays no 

dividends.  

    b.   If the maintenance margin is 25%, how high can Intel’s price rise before you get a margin call?  

    c.   Redo parts ( a ) and ( b ), but now assume that Intel also has paid a year-end dividend of $1 

per share. The prices in part ( a ) should be interpreted as ex-dividend, that is, prices after the 

dividend  has  been  paid.     

   13.  Here is some price information on Marriott: 




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