CONNECT WITH LEARNSMART FOR BODIE: ESSE
11th Edition
ISBN: 2819440196246
Author: Bodie
Publisher: MCG
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Chapter 6, Problem 16PS
Assume expected returns and standard deviations for all securities, as well as the risk-free rate for lending and borrowing, are known. Will investors arrive at the same optimal risky portfolio? Explain. (LO 6-4)
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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?
True 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.
Question 2 a) Plot the Security Market Line (SML).b) Superimpose the CAPM’s required return on the SML.c) Indicate which investments will plot on, above and below the SML?d) If an investment’s expected return (mean return) does not plot on the SML, what doesit show? Identify undervalued/overvalued investments from the graph
Chapter 6 Solutions
CONNECT WITH LEARNSMART FOR BODIE: ESSE
Ch. 6.5 - Prob. 1EQCh. 6.5 - In light of each firm’s exposure to the financial...Ch. 6 - Prob. 1PSCh. 6 - When adding a risky asset to a portfolio of many...Ch. 6 - A portfolio’s expected return is 12%, its standard...Ch. 6 - An investor ponders various allocations to the...Ch. 6 - The standard deviation of the market-index...Ch. 6 - Suppose that the returns on the stock fund...Ch. 6 - Use the rate-of-return data for the stock and bond...Ch. 6 - Prob. 8PS
Ch. 6 - Prob. 9PSCh. 6 - Prob. 10PSCh. 6 - Prob. 11PSCh. 6 - Prob. 12PSCh. 6 - Stocks offer an expected rate of return of 10%...Ch. 6 - Suppose that many stocks are traded in the market...Ch. 6 - You can find a spreadsheet containing annual...Ch. 6 - Assume expected returns and standard deviations...Ch. 6 - Prob. 17PSCh. 6 - Prob. 18PSCh. 6 - A project has a 0.7 chance of doubling your...Ch. 6 - Investors expect the market rate of return this...Ch. 6 - The following figure shows plots of monthly rates...Ch. 6 - Prob. 22PSCh. 6 - Prob. 23PSCh. 6 - Prob. 25CCh. 6 - Prob. 1CPCh. 6 - Prob. 2CPCh. 6 - Abigail Grace has a $900,000 fully diversified...Ch. 6 - Prob. 4CPCh. 6 - Prob. 5CPCh. 6 - Prob. 6CPCh. 6 - Prob. 7CPCh. 6 - Prob. 1WMCh. 6 - Following the procedures in the previous question,...Ch. 6 - Prob. 3WMCh. 6 - Prob. 4WM
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- 1. What are the two most important inputs one needs in order to model default risk within their portfolios? (Bloomberg)arrow_forwardQuestion #1. Portfolio theory tends to define risky investments in terms of just two factors: expectedreturns and variance (or standard deviation) of those expected returns. What assumptions need to be made about investors and the expected investment returns (one assumption in each case) to justify this ‘two-factor’ approach? Are these assumptions justified in real life? Question #2. ‘The expected return from a portfolio of securities is the average of the expected returns of the individual securities that make up the portfolio, weighted by the value of the securities in the portfolio.’ ‘The expected standard deviation of returns from a portfolio of securities is the average of the standard deviations of returns of the individual securities that make up the portfolio, weighted by the value of the securities in the portfolio.’ Are these statements correct? Question #3. What can be said about the portfolio that is represented by any point along the efficientfrontier of risky investment…arrow_forwardQuestion #1. Portfolio theory tends to define risky investments in terms of just two factors: expected returns and variance (or standard deviation) of those expected returns. What assumptions need to be made about investors and the expected investment returns (one assumption in each case) to justify this ‘two-factor’ approach? Are these assumptions justified in real life? ‘The expected return from a portfolio of securities is the average of the expected returns of the individual securities that make up the portfolio, weighted by the value of the securities in the portfolio.’ ‘The expected standard deviation of returns from a portfolio of securities is the average of the standard deviations of returns of the individual securities that make up the portfolio, weighted by the value of the securities in the portfolio.’ Are these statements correct? What can be said about the portfolio that is represented by any point along the efficient frontier of risky investment portfolios? and What is…arrow_forward
- Define the real risk-free rate (r*). What security canbe used as an estimate of r*? What is the nominalrisk-free rate (rRF)? What securities can be used asestimates of rRF?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_forwardWhich one of the following is the formula that explains the relationship between the expected returnon a security and the level of that security's systematic risk?Select one:a. Time value of money equationb. Unsystematic risk equationc. Expected risk formulad. Market performance equatione. Capital asset pricing modelarrow_forward
- A6) Finance In financial economic theory, an indifference curve shows: Select one: a. the one most desirable portfolio for a particular investor. b. the one most desirable market portfolio for all investors. c. all combinations of risk and expected return that are equally desirable to a particular investor. d. all combinations of portfolios that are equally efficient to all investors.arrow_forwardThe security market line depicts: a. Expected return as a function of systematic risk (indicated by beta) b. The market portfolio as the optimal portfolio of risky assets c. The relationship between a security’s return and the return on the index d. Portfolio combinations of the market portfolio and the risk-free asset e. Expected return as a function of volatilityarrow_forwardPlot the Security Market Line (SML) b) Superimpose the CAPM’s required return on the SML c) Indicate which investments will plot on, above and below the SML? d) If an investment’s expected return (mean return) does not plot on the SML, what doesit show? Identify undervalued/overvalued investments from the graph (arrow_forward
- The following figures show the optimal portfolio choice for two investors with different levels of risk-aversion graphically. Which statement is correct? E[R] 0.3 0.25 0.2 0.15 0.1 0.05 0 0 0.05 0.1 0.15 Figure 1 0.2 0.25 0.3 0.35 0.4 0.45 o (R) E[R] Figure (1) shows an investor with a conservative investment behavior. 0.3 0.25 0.2 0.15 0.1 0.05 0 0 Figure (2) shows an investor that borrows in risk-free rate and invests in the risky asset. 0.05 0.1 0.15 In the optimal point of both figures, the highest indifference curve is tangent to the efficient frontier. O In Figure (1), more aggressive investment decision led to a higher Sharpe ratio. Figure 2 0.2 0.25 o(R) 0.3 0.35 0.4 0.45arrow_forwardIn portfolio management, risk reduction is achieved by investing in a portfolio in which the securities Question 3 options:1) have a high covariance 2) have a high correlation coefficient 3) have a low coefficient of variation 4) have a lowcovariance 5) are perfectly positively correlated.arrow_forwardWhich 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.arrow_forward
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