PRIN.OF CORPORATE FINANCE
13th Edition
ISBN: 9781260013900
Author: BREALEY
Publisher: RENT MCG
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Chapter 8, Problem 17PS
APT Consider a three-factor APT model. The factors and associated risk premiums are
Calculate expected
- a) A stock whose return is uncorrelated with all three factors.
- b) A stock with average exposure to each factor (i.e., with b = 1 for each).
- c) A pure-play energy stock with high exposure to the energy factor (b = 2) but zero exposure to the other two factors.
- d) An aluminum company stock with average sensitivity to changes in interest rates and GNP, but negative exposure of b = –1.5 to the energy factor. (The aluminum company is energy-intensive and suffers when energy prices rise.)
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Assume that using the Security Market Line(SML) the required rate of return(RA)on stock A is found to be halfof the required return (RB) on stock B. The risk-free rate (Rf) is one-fourthof the required return on A. Return on market portfolio is denoted by RM. Find the ratioof betaof A(A) tobeta of B(B).
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Questions C and D is required.
c) Assume that using the Security Market Line (SML) the required rate of return (RA) on stock A is found to be half of the required return (RB) on stock B. The risk-free rate (Rf) is one-fourth of the required return on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A (A) to beta of B (B).
d) Assume that the short-term risk-free rate is 3%, the market index S&P500 is expected to pay returns of 15% with the standard deviation equal to 20%. Asset A pays on average 5%, has standard deviation equal to 20% and is NOT correlated with the S&P500. Asset B pays on average 8%, also has standard deviation equal to 20% and has correlation of 0.5 with the S&P500. Determine whether asset A and B are overvalued or undervalued, and explain why. (Hint: Beta of asset i ( , where are standard deviations of asset i and market portfolio, is the correlation between asset i and the market portfolio)
c) Assume that using the Security Market Line (SML) the required rate of return (Ra) on stock A is found
to be half of the required return (Rs) on stock B. The risk-free rate (R:) is one-fourth of the required
return on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A (Ba) to beta of B
(B).
Chapter 8 Solutions
PRIN.OF CORPORATE FINANCE
Ch. 8 - Efficient portfolios For each of the following...Ch. 8 - Efficient portfolios Figure 8.11 purports to show...Ch. 8 - Portfolio risk and return Look back at the...Ch. 8 - Portfolio risk and return Mark Harrywitz proposes...Ch. 8 - Portfolio risk and return Ebenezer Scrooge has...Ch. 8 - Portfolio risk and return Here are returns and...Ch. 8 - Portfolio risk and return Percival Hygiene has IO...Ch. 8 - Sharpe ratio Use the long-term data on security...Ch. 8 - Portfolio beta Refer to Table 7.5. a. What is the...Ch. 8 - CAPM True or false? Explain or qualify as...
Ch. 8 - CAPM True or false? a. The CAPM implies that if...Ch. 8 - CAPM Suppose that the Treasury bill rate is 6%...Ch. 8 - CAPM The Treasury bill rate is 4%, and the...Ch. 8 - Cost of capital Epsilon Corp. is evaluating an...Ch. 8 - APT Consider a three-factor APT model. The factors...Ch. 8 - Prob. 18PSCh. 8 - APT Consider the following simplified APT model:...Ch. 8 - Prob. 20PSCh. 8 - Three-factor modelThe following table shows the...Ch. 8 - Efficient portfolios Look again at the set of the...
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