PRIN.OF CORPORATE FINANCE
PRIN.OF CORPORATE FINANCE
13th Edition
ISBN: 9781260013900
Author: BREALEY
Publisher: RENT MCG
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Chapter 7, Problem 25PS

Portfolio risk Here are some historical data on the risk characteristics of Ford and Harley Davidson:

Chapter 7, Problem 25PS, Portfolio risk Here are some historical data on the risk characteristics of Ford and Harley

Assume the standard deviation of the return on the market was 9.5%.

  1. a. The correlation coefficient of Ford’s return versus Harley Davidson is 0.30. What is the standard deviation of a portfolio invested half in each share?
  2. b. What is the standard deviation of a portfolio invested one-third in Ford, one-third in Harley Davidson, and one-third in risk-free Treasury bills?
  3. c. What is the standard deviation if the portfolio is split evenly between Ford and Harley Davidson and is financed at 50% margin, that is, the investor puts up only 50% of the total amount and borrows the balance from the broker?
  4. d. What is the approximate standard deviation of a portfolio composed of 100 stocks with betas of 1.26 like Ford? How about 100 stocks like Harley Davidson? [Hint: Part (d) should not require anything but the simplest arithmetic to answer.]
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