Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
12th Edition
ISBN: 9781259144387
Author: Richard A Brealey, Stewart C Myers, Franklin Allen
Publisher: McGraw-Hill Education
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Chapter 8, Problem 19PS
APT Consider the following simplified APT model:
Calculate the expected return for the following stocks. Assume rf = 5%.
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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 ratio of beta of A(A) to beta of B(B).
Suppose Stock A has B = 1 and an expected
return of 11%. Stock B has a B = 1.5. The risk-
free rate is 5%. Also consider that the
covariance between B and the market is 0.135.
Assume the CAPM is true. Answer the following
questions:
a) Calculate the expected return on share B.
b) Find the equation of the Capital Market Line
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c) Build a portfolio Q with B = 0 using actions A
and B. Indicate weights (interpret your result)
and expected return of portfolio Q.
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-fourthof 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).
Chapter 8 Solutions
Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
Ch. 8 - Portfolio risk and return Here are returns and...Ch. 8 - Efficient portfolios For each of the following...Ch. 8 - Sharpe ratio Use the long-term data on security...Ch. 8 - Efficient portfolios Figure 8.11 purports to show...Ch. 8 - CAPM Suppose that the Treasury bill rate is 6%...Ch. 8 - CAPM True or false? a. The CAPM implies that if...Ch. 8 - APT Consider a three-factor APT model. The factors...Ch. 8 - CAPM True or false? Explain or qualify as...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 beta Refer to Table 7.5. a. What is the...Ch. 8 - CAPM The Treasury bill rate is 4%, and the...Ch. 8 - Portfolio risk and return Percival Hygiene has IO...Ch. 8 - Cost of capital Epsilon Corp. is evaluating an...Ch. 8 - Prob. 18PSCh. 8 - APT Consider the following simplified APT model:...Ch. 8 - Prob. 20PSCh. 8 - Prob. 21PSCh. 8 - Prob. 22PSCh. 8 - Prob. 23PSCh. 8 - Efficient portfolios Look again at the set of the...
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- You want to estimate the monthly alpha and beta of AXON stock, using the index model. Suppose AXON has a beta of 0.95 and a monthly alpha of 0.5 (representing half a percent). If you set up the regression model correctly, the index model equation should be (remember in index model formulas, we use R instead of r to denote excess returns): Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. b с d Rmarket = Rmarket = 0.5 x Rstock +0.95 Raxon 0.95 x Rstock +0.5 = 0.5 x Rmarket +0.95 Raxon = 0.95 x Rmarket +0.5arrow_forwardAssume that using the Security Market Line (SML) the required rate of return (RA) on stock A is foundto be half of the required return (RB) on stock B. The risk-free rate (Rf) is one-fourth of the requiredreturn 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 payreturns of 15% with the standard deviation equal to 20%. Asset A pays on average 5%, has standarddeviation equal to 20% and is NOT correlated with the S&P500. Asset B pays on average 8%, also hasstandard deviation equal to 20% and has correlation of 0.5 with the S&P500. Determine whetherasset A and B are overvalued or undervalued, and explain why. (Hint: Beta of asset i (??) =???????, where ??,?? are standard deviations of asset i and marketportfolio, ??? is the correlation between asset i and the market portfolio)Question 2. Foreign exchange marketsStatoil, the national…arrow_forwardSuppose that three stocks (A, B, and C} and two common risk factors (1 and 2) have the following relationship: E(RA) = (1.1)A1 + (0.8)A2 E(RB) = (0.7)A1 + (0.6)A2 E(RC) = (0.3)A1 + (0.4)A2 a. If A1 = 4 percent and A2 = 2 percent, what are the prices expected next year for each of the stocks? Assume that all three stocks currently sell for $30 and will not pay a dividend in the next year. b. Suppose that you know that next year the prices for Stocks A, B, and C will actually be $31.50, $35.00, and $30.50. Create and demonstrate a riskless, arbitrage investment to take advantage of these mispriced securities. What is the profit from your investment? You may assume that you can use the proceeds from any necessary short sale. Problems 13 and 14 refer to the data contained in Exhibit 7.23, which lists 30 monthly excess returns to two different actively managed stock portfolios (A and B) and three different common risk factors (1, 2, and 3). {Note: You may find it…arrow_forward
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Portfolio return, variance, standard deviation; Author: MyFinanceTeacher;https://www.youtube.com/watch?v=RWT0kx36vZE;License: Standard YouTube License, CC-BY