PRIN.OF CORPORATE FINANCE
PRIN.OF CORPORATE FINANCE
13th Edition
ISBN: 9781260013900
Author: BREALEY
Publisher: RENT MCG
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Chapter 7, Problem 5PS

Risk Premium Suppose that in year 2030, investors become much more willing than before to bear risk. As a result, they require a return of 8% to invest in common stocks rather than the 10% that they had required in the past. This shift in risk aversion causes a 15% change in the value of the market portfolio.

  1. a. Do stock prices rise by 15% or fall?
  2. b. If you now use past returns to estimate the expected risk premium, will the inclusion of data for 2030 cause you to underestimate or overestimate the return that investors required in the past?
  3. c. Will the inclusion of data for 2030 cause you to underestimate or overestimate the return that investors require in the future?
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Consider two stocks, A and B, whose returns in a boom and a recession are given  below. Stock A: recession (-15%), boom (+20%). Stock B: recession (+10%), boom (-2%). Suppose that there is a 10% chance of a recession next year. How would you allocate money between these two stocks so as to minimize your risk?
Imagine that you are an investor who is contemplating whether to purchase a stock which is valued at $100 per share to today that pays a 3.5% annual dividend. The stock has a beta compared with the market of 0.3, which indicates that it is riskier than a market portfolio. Keep in mind also that the risk free rate is 5% and that you would expected the market to rise in value by 9% per year. What is the expected return of the stock using the CAPM formula
Assume now that CAPM holds. You need to estimate the price of one stock of company XYZ. You expect that this company’s earnings per share will be $4 in one year, your estimation of Present Value of Growth Opportunities today is $40. The company has just paid out the dividend for the previous financial year. Expected return of market portfolio is equal to 20%, its standard deviation is equal to 55% and covariance between the returns on XYZ and market portfolio is 0.5. The risk-free rate is 5%. Find the price of a stock.
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