Essentials of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
9th Edition
ISBN: 9781259277214
Author: Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Bradford D Jordan Professor
Publisher: McGraw-Hill Education
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Chapter 11, Problem 2CC
Beta is often estimated by linear regression. A model often used is called the market model, which is:
Rt – Rft = αi + βi [RMt – Rft] + εt
In this regression, Rt is the return on the stock and Rft is the risk-free rate for the same period. RMt is the return on a stock market index such as the S&P 500 index, αi is the regression intercept, and βi is the slope (and the stock’s estimated beta). εt represents the residuals for the regression. What do you think is the motivation for this particular regression? The intercept, αi, is often called Jensen’s alpha. What does it measure? If an asset has a positive Jensen’s alpha, where would it plot with respect to the SML? What is the financial interpretation of the residuals in the regression?
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When we test CAPM using historical data, a classic test is to regress excess returns of stocks
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Rp Rf =α+By+ε
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beta of the security or portfolio, & is the regression residual, and a (Alpha) and y (Gamma) are
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Based on the regression, which of the following statements are true if CAPM is true? Select
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The Alpha is zero
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The Gamma is zero
Consider the following linear regression model:
(R₁-r)= a; + b(RMkt - rf) + e;
The b; in the regression:
O
measures the deviation from the best fitting line and is zero on aver-
measures the sensitivity of the security to market risk.
measures the diversifiable risk in returns.
Consider the following regression Pt * - Pt = .07(1.4) + .4*Pt (3.6) + et where Pt * is Shiller’s ex post price of a stock, Pt is the actual price and t-ratios are in brackets. Explain in words and analytically what the dependent variable Pt * - Pt should be equal to under the efficient markets theory. Hence interpret the regression. Does it support the efficient markets theory?
Chapter 11 Solutions
Essentials of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
Ch. 11.1 - How do we calculate the expected return on a...Ch. 11.1 - Prob. 11.1BCQCh. 11.2 - What is a portfolio weight?Ch. 11.2 - How do we calculate the expected return on a...Ch. 11.2 - Is there a simple relationship between the...Ch. 11.3 - Prob. 11.3ACQCh. 11.3 - Prob. 11.3BCQCh. 11.4 - Prob. 11.4ACQCh. 11.4 - Prob. 11.4BCQCh. 11.5 - Prob. 11.5ACQ
Ch. 11.5 - Prob. 11.5BCQCh. 11.5 - Prob. 11.5CCQCh. 11.5 - Prob. 11.5DCQCh. 11.6 - Prob. 11.6ACQCh. 11.6 - Prob. 11.6BCQCh. 11.6 - How do you calculate a portfolio beta?Ch. 11.6 - True or false: The expected return on a risky...Ch. 11.7 - Prob. 11.7ACQCh. 11.7 - Prob. 11.7BCQCh. 11.7 - Prob. 11.7CCQCh. 11.8 - If an investment has a positive NPV, would it plot...Ch. 11.8 - Prob. 11.8BCQCh. 11 - What does variance measure?Ch. 11 - Prob. 11.2CCh. 11 - What is the equation for total return?Ch. 11 - Prob. 11.4CCh. 11 - Prob. 11.5CCh. 11 - By definition, what is the beta of the average...Ch. 11 - Section 11.7What does the security market line...Ch. 11 - Diversifiable and Nondiversifiable Risks. In broad...Ch. 11 - Information and Market Returns. Suppose the...Ch. 11 - Systematic versus Unsystematic Risk. Classify the...Ch. 11 - Systematic versus Unsystematic Risk. Indicate...Ch. 11 - Prob. 5CTCRCh. 11 - Prob. 6CTCRCh. 11 - Prob. 7CTCRCh. 11 - Beta and CAPM. Is it possible that a risky asset...Ch. 11 - Prob. 9CTCRCh. 11 - Earnings and Stock Returns. As indicated by a...Ch. 11 - Determining Portfolio Weights. What are the...Ch. 11 - Portfolio Expected Return. You own a portfolio...Ch. 11 - Prob. 3QPCh. 11 - Prob. 4QPCh. 11 - Prob. 5QPCh. 11 - Prob. 6QPCh. 11 - Calculating Returns and Standard Deviations. Based...Ch. 11 - Prob. 8QPCh. 11 - Prob. 9QPCh. 11 - LO1, LO2 10.Returns and Standard Deviations....Ch. 11 - Calculating Portfolio Betas. You own a stock...Ch. 11 - Calculating Portfolio Betas. You own a portfolio...Ch. 11 - Using CAPM. A stock has a beta of 1.23, the...Ch. 11 - Using CAPM. A stock has an expected return of 11.4...Ch. 11 - Using CAPM. A stock has an expected return of 10.9...Ch. 11 - Prob. 16QPCh. 11 - Using CAPM. A stock has a beta of 1.23 and an...Ch. 11 - Using the SML. Asset W has an expected return of...Ch. 11 - Reward-to-Risk Ratios. Stock Y has a beta of 1.20...Ch. 11 - Prob. 20QPCh. 11 - Prob. 21QPCh. 11 - Prob. 22QPCh. 11 - Prob. 23QPCh. 11 - Calculating Portfolio Weights and Expected Return....Ch. 11 - Portfolio Returns and Deviations. Consider the...Ch. 11 - Prob. 26QPCh. 11 - Analyzing a Portfolio. You want to create a...Ch. 11 - Prob. 28QPCh. 11 - SML. Suppose you observe the following situation:...Ch. 11 - Systematic versus Unsystematic Risk. Consider the...Ch. 11 - Beta is often estimated by linear regression. A...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.Similar questions
- in a Statistical sense, the Single Index Model is best characterized by: the Capital Market Line The Security Market Liner Regression of any asset as a linear function of the Market, plus mean-zero random error A regression of the Market, as a linear function of any given asset, plus mean-zero random error Iarrow_forwardWhen working with the CAPM, which of the following factors can be determined with the most precision? a. The beta coefficient of "the market," which is the same as the beta of an average stock. b. The beta coefficient, bi, of a relatively safe stock. c. The market risk premium (RPM). d. The most appropriate risk-free rate, rRF. e. The expected rate of return on the market, rM.arrow_forwardThe slope of a regression line when the return on an individual stock's returns are regressed on the return on the market portfolio, would be: OAR BR-₁ B OC none of the answers listed here. ODO imarrow_forward
- The Beta coefficients of TSLA and JPM are 1.99 and 1.18 respectively. What does Beta measure and how is it interpreted? Explain the beta values of TSLA and JPM by providing a calculated example of how they relate to market returns.arrow_forwardWhen working with the CAPM, which of the following factors can be determined with the most precision? a. The most appropriate risk-free rate, rRF. b. The market risk premium (RPM). c. The beta coefficient, bi, of a relatively safe stock. d. The expected rate of return on the market, rM. e. The beta coefficient of "the market," which is the same as the beta of an average stock.arrow_forwardAssume 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(βA) to beta of B(βB).arrow_forward
- The correlation with Market index, Beta and CAPM Req. Return worked out manually.arrow_forwardAssume 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 (bA) to beta of B (bB). please show all workings and not merely : Ra = 1/2 rbRf = 1/4 Raarrow_forwardAssume that using the Security Market Line 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 the market portfolio is denoted by RM. Find the ratio of beta of A (bA) to beta of B (bB).arrow_forward
- 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).arrow_forward3. Suppose the index model for stocks A and B is estimated with the following results:rA = 2% + 0.8RM + eA, rB = 2% + 1.2RM + eB , σM = 20%, and RM = rM − rf . The regressionR2 of stocks A and B is 0.40 and 0.30, respectively. Answer the following questions. (a) What is the variance of each stock? (b) What is the firm-specific risk of each stock? (c) What is the covariance between the two stocks?arrow_forwardSuppose the index model for stocks A and B is estimated with the following results: rA = 2% + 0.8RM + eA, rB = 2% + 1.2RM + eB, σM = 20%, and RM = rM − rf . The regression R2 of stocks A and B is 0.40 and 0.30, respectively. Answer the following questions. Total: (a) What is the variance of each stock? (b) What is the firm-specific risk of each stock? (c) What is the covariance between the two stocks?arrow_forward
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