Investments
11th Edition
ISBN: 9781259277177
Author: Zvi Bodie Professor, Alex Kane, Alan J. Marcus Professor
Publisher: McGraw-Hill Education
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Chapter 7, Problem 3PS
Summary Introduction
To select: The correct statement about the minimum-variance portfolio about the risk securities is to be determined.
Introduction : The portfolio risk is defined as the combination of assets which carries its own risk with each investment.
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The market portfolio (M) has the expected rate of return E(rM) = 0.12. Security A is traded in the market. We know that E(rA) = 0.17 and βA = 1.5.
(1) What is the rate of return of the risk-free asset (rf)?
(2) Security B is also traded in the market. βB = 0.8. Then what is “fair” expected rate of return of security B according to the CAPM?
(3) Security C is a third security traded in the market. βC = 0.6, and from the market price, investors calculate E(rC) = 0.1. Is C overpriced or underpriced? What is αC?
Which of the following statements regarding non-systematic risk, systematic risk and total risk is/are true? Select one or more:a. As the number of assets within a portfolio increases, the total risk of a portfolio will go to zero.b. A riskfree asset must have zero non-systematic risk.c. A well diversified portfolio must have zero systematic riskd. Under the Capital Asset Pricing Model (CAPM).an asset with zero systematic risk must have expected return equal to the riskfree rate.
Which of the following statements regarding the graph of the
SML is most accurate?
Select one
O A.
O B.
B-1.0
The beta of Portfolios A, B, and C are identical as they fall directly
on the line.
The expected return of Portfolio C is the difference between the
market's expected return and the risk-free rate.
O C. Portfolio A has lower systematic risk than Portfolio B.
OD. The slope of the line is the market risk premium.
Chapter 7 Solutions
Investments
Ch. 7 - Prob. 1PSCh. 7 - Prob. 2PSCh. 7 - Prob. 3PSCh. 7 - Prob. 4PSCh. 7 - Prob. 5PSCh. 7 - Prob. 6PSCh. 7 - Prob. 7PSCh. 7 - Prob. 8PSCh. 7 - Prob. 9PSCh. 7 - Prob. 10PS
Ch. 7 - Prob. 11PSCh. 7 - Prob. 12PSCh. 7 - Prob. 13PSCh. 7 - Prob. 14PSCh. 7 - Prob. 15PSCh. 7 - Prob. 16PSCh. 7 - Prob. 17PSCh. 7 - Prob. 18PSCh. 7 - Prob. 19PSCh. 7 - Prob. 20PSCh. 7 - Prob. 21PSCh. 7 - Prob. 22PSCh. 7 - Prob. 23PSCh. 7 - Prob. 1CPCh. 7 - Prob. 2CPCh. 7 - Prob. 3CPCh. 7 - Prob. 4CPCh. 7 - Prob. 5CPCh. 7 - Prob. 6CPCh. 7 - Prob. 7CPCh. 7 - Prob. 8CPCh. 7 - Prob. 9CPCh. 7 - Prob. 10CPCh. 7 - Prob. 11CPCh. 7 - Prob. 12CPCh. 7 - Prob. 13CP
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- Which of the following statements regarding the graph of the SML is most accurate? A Select one OA. The beta of Portfolios A, B, and C are identical as they fall directly on the line. B. The expected return of Portfolio C is the difference between the market's expected return and the risk-free rate. C. Portfolio A has lower systematic risk than Portfolio B. D. The slope of the line is the market risk premium.arrow_forwardA portfolio that is positively correlated with the market portfolio but not particularly sensitive to market risk factors would have a beta that is A. Equal to zero. B. Equal to one. C. Less than zero. D. Between 0 and 1. E. Greater than 1.arrow_forward1. The diversifiable risk of a portfolio: a. Is correlated with systematic risk. b. Can be made sufficiently small. c. Is zero in the real world. d. Is the risk that investors lose because of transaction costs. Which one of the following conditions determines the investor’s overall optimal portfolio? a. The marginal ratio of substitution of the investor’s utility function must be equal to the Sharpe ratio of the optimal risky portfolio. b. The standard-deviation of the overall portfolio in minimised. c. The expected return of the overall portfolio is maximised. d. The slope of the Sharpe-ratio is equal to zero. 4. Markets can never be strong-form efficient because: a. There are too many traders in them. b. Investors are rational. c. Information is costly to acquire. d. All information is public. 5. Which one of the following is not a property of a pure arbitrage portfolio? a. Zero investment. b. Zero systematic risk. c. Positive net return. d. All of the above.arrow_forward
- Which of the following statements is correct concerning a mean-variance efficient portfolio of risky assets in a world where there is also a risk-free asset? OA. It will be impossible to form a different portfolio yielding a lower level of risk unless the portfolio also earns a lower return, O B. Risk averse investors will only choose to invest in the market portfolio (M) regardless of the risk-free rate. OC. The portfolio will always achieve the maximum possible returns. O D. The portfolio will always be inside the feasible set.arrow_forwardWhich of the following statements about CAPM is true? a. The expected return of a zero-beta security or portfolio equals risk free rate. b. •The risk premium an investor expects to receive on any stock or portfolio increases with standard deviation. C. Beta measures total risk. On equilibrium, total risk is compensated by return. e. The beta of the market portfolio equals zero.arrow_forwardich of the following will not reduce risk in a portfolio? Select one: a. Selecting two securities that are perfectly positively correlated. b. Selecting two securities that are positively correlated. c. Selecting two securities that are perfectly negatively correlated. d. Selecting two securities that are negatively correlated.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_forwardDescribe why a fully diversified portfolio is said to have no unsystematic risk but has systematic risk? Then describe how the Arbritrage Pricing Theory (APT) has a cause and effect on the expected return of a security.arrow_forwardWhich of the following is TRUE? To construct a capital market line, we use expected return as y-axis and beta as x-axis On the capital market line debt securities are located to the right of the market portfolio To construct a security market line, we use expected return as y-axis and beta as x-axis Market portfolio lays at an intersection of the average indifference curve of a risk-averse investor and the efficient portfolioarrow_forward
- Risk and Return Suppose you hold an asset that delivers a return R. You wish to hedge against a decline in the price of this asset using a risk-free asset with return r; and a market index with return RM. Using the CAPM, explain how you would allocate money between the risk-free asset and the market index so as to minimize your portfolio variance.arrow_forwardTrue or false: Assume that expected returns and standard deviations for all securities (including the risk-free rate for borrowing and lending) are known. In this case, all investors will have the same optimal risky portfolio.arrow_forwardWhich ones of the following statements about portfolio beta are correct? O 1. If portfolio beta is between 0 and 1, then the portfolio expected return is between risk-free rate and the market expected return. O 2. If the return of an asset has zero correlation with the market portfolio returns, the beta of this asset must be zero. O 3. A portfolio that has the same portfolio weights as the market portfolio should have a beta of 1. O 4. Diversification is not a way to reduce portfolio beta. O 5. If two portfolios have the same portfolio weights, but different dollar values, their betas are the same.arrow_forward
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