Essentials of Corporate Finance
8th Edition
ISBN: 9780078034756
Author: Stephen A. Ross, Randolph W. Westerfield, Bradford D. Jordan
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Textbook Question
Chapter 11, Problem 8CTCR
Beta and
LO4 11.8 Beta and CAPM. Is it possible that a risky asset could have a beta of zero? Explain. Based on the CAPM, what is the expected
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Think about whether a risk-free asset should earn a risk-premium beyond the risk-free rate. Thinking about that should give you an idea of the beta for a risk-free asset. Or, look again at the CAPM equation: E(Ri)=Rf+βi[E(RM)−Rf]
Given this equation, what beta sets the E(R) of the risk free asset equal to the risk-free rate?
A) zero
B) 0.5
C) 1.0
D) its random
In the context of CAPM, a risky asset with negative beta (beta<0) will have a positive expected excess return. (Assuming investors are risk-averse.)
True or False?
What is the expected return of a zero-beta security?a. Market rate of return.b. Zero rate of return.c. Negative rate of return.d. Risk-free rate of return.
Chapter 11 Solutions
Essentials of Corporate Finance
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 - Prob. 11.1CCh. 11 - Prob. 11.2CCh. 11 - Prob. 11.4CCh. 11 - Prob. 11.6CCh. 11 - Prob. 11.7CCh. 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 - Prob. 1QPCh. 11 - Prob. 2QPCh. 11 - Prob. 3QPCh. 11 - Prob. 4QPCh. 11 - Prob. 5QPCh. 11 - Prob. 6QPCh. 11 - Prob. 7QPCh. 11 - Prob. 8QPCh. 11 - Prob. 9QPCh. 11 - Prob. 10QPCh. 11 - Prob. 11QPCh. 11 - Prob. 12QPCh. 11 - Prob. 13QPCh. 11 - Prob. 14QPCh. 11 - Prob. 15QPCh. 11 - Prob. 16QPCh. 11 - Prob. 17QPCh. 11 - Prob. 18QPCh. 11 - Prob. 19QPCh. 11 - Prob. 20QPCh. 11 - Prob. 21QPCh. 11 - Prob. 22QPCh. 11 - Prob. 23QPCh. 11 - Prob. 24QPCh. 11 - Prob. 25QPCh. 11 - Prob. 26QPCh. 11 - Prob. 27QPCh. 11 - Prob. 28QPCh. 11 - SML. Suppose you observe the following situation:...Ch. 11 - Prob. 30QPCh. 11 - Beta is often estimated by linear regression. A...
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- We believe that the single factor model can predict any individual asset’s realized rate of return well. Both Portfolio A and Portfolio B are well-diversified: ri = E(ri) + βiF + Ei, where E(ei) = 0 and Cov(F, i) = 0 A B β 1.2 0.8 E(r) 0.1 0.08 (1) What is the rate of return of the risk-free asset? (2) What is the expected rate of return of the well-diversified portfolio C with βC = 1.6, which also exists in the market? (3) A fund constructs a well-diversified portfolio D. Studies show that βD = 0.6. The expected rate of return of D is 0.06. Is there an arbitrage opportunity? If so, construct a trading strategy to earn profits with no risk. If not, why?arrow_forwardExplain what is meant by beta. What risk does beta measure? What is the market return? How is the interpretation of beta related to the market return?arrow_forwardA risk-free asset by definition has a beta of zero. OA. True OB. Falsearrow_forward
- A) What does the single index model estimate? B) What is the market risk premium? C) What does Beta show? D) What are all the possible values of Beta and what do they mean?arrow_forwardWhich of the following regression outcomes indicates the asset with the greatest total risk? • large beta, small R² • small beta, large R² • small beta, small R² large beta, large R² .arrow_forwardWhat is the expected return on a security with beta equal to zero? The market rate of return. Zero rate of return. A negative rate of return. The risk-free rate. None of the above.arrow_forward
- Which of the following statements about the Security Market Line are correct? I. The intercept point is the market rate of return. II. The slope of the line is beta. III. An investor should accept any return located above the SML line. IV. A beta of 0.0 indicates the risk-free rate of returnarrow_forwardMarket potential is an example of an economic risk measure. O True O Falsearrow_forwardA risky security has less risk than the overall market. What must the beta of this security be? O 0 but< 1 O 1 O The beta cannot be determined based on the information provided.arrow_forward
- The beta of a risk-free security is _____ and the beta of the overall market is _____: a. 0; 1. b. 0; 0. c. 1; 0. d. 1; 1.arrow_forward3. A market consists of two risky assets and no risk-free asset. Let R₁ and R₂ denote the return on each of the risky assets. Using market data the following have been estimated: E[R₁] = 0.10, E[R₂] = 0.15, o² = Var(R₁) = 0.1², o² = Var(R₂) = 0.2² and p1,2 = -1/2 where P1,2 denotes the correlation coefficient for R₁ and R₂. (i) Given that an investor is targeting a total expected return of portfolio, what is the minimum variance that can be achieved? = 0.125 on a (ii) Determine the global minimum variance portfolio and the expected return and variance of return on this portfolio. (iii) Using your answers to parts (i) and (ii) make a rough sketch of the minimum- variance set in - o2 space. You should indicate the efficient frontier and the global minimum variance portfolio. (iv) Without further calculation, explain how you would expect the variance of return calculated in (ii) to change if the two risky assets were independent.arrow_forwardSupposing the return from an investment has the following probability distribution Return Probability R (%) 8 0.2 10 0.2 12 0.5 14 0.1 Required: What is the expected return of the investment? What is the risk as measured by the standard deviation of expected returns?arrow_forward
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