Financial Management: Theory & Practice
16th Edition
ISBN: 9781337909730
Author: Brigham
Publisher: Cengage
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Chapter 25, Problem 3MC
Summary Introduction
Plot: attainable portfolio with zero standard deviation and zero correlation with other asset.
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Students have asked these similar questions
You are an investment analyst at an asset management firm. Your colleague, the in-house economist,
has analyzed all the risky securities in your economy - A, B and C. He provides you with the following
statistics:
Securities
Expected Returns
Standard Deviation 0.35 0.25 0.18
A B C
0.15 0.10 0.075 0.03
Risk-Free
The Correlation between A and B is 0.2, between B and C is 0.5, and between A and C is 0.3. The
prevailing risk-free rate is 3%.
What is the Sharpe ratio of the market portfolio in this economy?
You are an investment analyst at an asset management firm. Your colleague, the in-house economist, has analyzed all the
risky securities in your economy - A, B and C. He provides you with the following statistics:
A B C
Risk-Free
Securities
Expected Returns
Standard Deviation 0.25 0.20 0.12
0.12 0.11 0.08 0.01
The Correlation between A and B is 0.25, between B and C is 0.75, and between A and C is 0.5.
What is the slope of the capital market line in this economy?
Group of answer choices
0.27
0.58
0.62
0.66
052
Answer whether each of the following statements is correct and explain your argument. \
(a) According to CAPM, the expected return of a risky asset is larger than the risk free rate.
(b) According to CAPM, the expected return of a risky asset increases with its variance.
(c) According to the separation property, the optimal risky portfolio for an investor dependson the investor’s personal preference.
(d) A less risk-averse investor has a steeper indifference curve for the utility function.
Chapter 25 Solutions
Financial Management: Theory & Practice
Ch. 25 - Define the following terms, using graphs or...Ch. 25 - Prob. 2QCh. 25 - The standard deviation of stock returns for Stock...Ch. 25 - Prob. 2PCh. 25 - Stock A has an expected return of 12% and a...Ch. 25 - Prob. 4PCh. 25 - Prob. 7SPCh. 25 - Prob. 1MCCh. 25 - Prob. 2MCCh. 25 - Prob. 3MC
Ch. 25 - You have been hired at the investment firm of...Ch. 25 - You have been hired at the investment firm of...Ch. 25 - Prob. 6MCCh. 25 - You have been hired at the investment firm of...Ch. 25 - You have been hired at the investment firm of...Ch. 25 - Prob. 9MCCh. 25 - You have been hired at the investment firm of...Ch. 25 - Prob. 11MC
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- You have been hired at the investment firm of Bowers & Noon. One of its clients doesn’t understand the value of diversification or why stocks with the biggest standard deviations don’t always have the highest expected returns. Your assignment is to address the client’s concerns by showing the client how to answer the following questions: Write out the equation for the Capital Market Line (CML), and draw it on the graph. Interpret the plotted CML. Now add a set of indifference curves and illustrate how an investor’s optimal portfolio is some combination of the risky portfolio and the risk-free asset. What is the composition of the risky portfolio?arrow_forwardYou have been hired at the investment firm of Bowers & Noon. One of its clients doesn’t understand the value of diversification or why stocks with the biggest standard deviations don’t always have the highest expected returns. Your assignment is to address the client’s concerns by showing the client how to answer the following questions: What are two potential tests that can be conducted to verify the CAPM? What are the results of such tests? What is Roll’s critique of CAPM tests?arrow_forwardYou have been hired at the investment firm of Bowers & Noon. One of its clients doesn’t understand the value of diversification or why stocks with the biggest standard deviations don’t always have the highest expected returns. Your assignment is to address the client’s concerns by showing the client how to answer the following questions: What is the Capital Asset Pricing Model (CAPM)? What are the assumptions that underlie the model? What is the Security Market Line (SML)?arrow_forward
- You have been hired at the investment firm of Bowers & Noon. One of its clients doesn’t understand the value of diversification or why stocks with the biggest standard deviations don’t always have the highest expected returns. Your assignment is to address the client’s concerns by showing the client how to answer the following questions: Plot the attainable portfolios for a correlation of 0.35. Now plot the attainable portfolios for correlations of +1.0 and −1.0.arrow_forwardWhat is the answer to this question? For this question I have seen 2 answers. So im not sure whats right. Answer 1: The most relevant figure is (a) that reflects the risk-return characteristics of stock A and stock B. an effective frontier is called relationship between risk (standard deviation) and expected return. The shape of risk-return features is curved because for each incremental risk incurred there are raising marginal returns. Therefore, for each unit of risk, the standard deviation applied to the portfolio provides an extremely low amount of return. Also we can see that the SD of stock B is higher than that of A. Figure b) is incorrect because the returns don’t rise in proportion to the risk assumed. Figure c) is incorrect since both stocks stock A and stock B are risky, and thus a finite return cannot occur at standard deviation = 0 Answer 2 Answer - Graph B Correlation = Covariance / (Standard deviation of A x Standard deviation of B) Correlation = 0.0014 / (0.032 x 0.044)…arrow_forwardIn a seminal article on portfolio theory, Markowitz (1952) illustrated that investors are not compensated for taking on firm specific or idiosyncratic risk; however, they are compensated for taking market or systemic risk. Use your understanding of the Capital Asset Pricing Model (CAPM), statistical concepts such as standard deviation and variance, and our ideas about market efficiency and indicate whether you believe that this is a good theory. Include at least two citations that support your response.arrow_forward
- Asset A has an expected return of 10% and a standard deviation of 7%. Asset B has an expected return 8% and a standard deviation of 12%. Assume that the return of the two assets are uncorrelated. A rational risk averse investor would A. Never invest his entire wealth in asset B B. Invest his entire wealth in asset A if he is very risk averse C. Invest his entire wealth in asset B, since asset A is dominated D. Always invest in a balances portfolio containing 50% of asset A and 50% of asset B, provides that the correlation coefficient is equal to onearrow_forwardSharon Smith, the financial manager for Barnett Corporation, wishes to select one of three prospective investments: X, Y, and Z. Assume that the measure of risk Sharon cares about is an asset's standard deviation. The expected returns and standard deviations of the investments are as follows: Investment Expected return Standard deviation X 17% 7% Y 17% 8% Z 17% 9% a. If Sharon were risk neutral, which investment would she select? Explain why. b. If she were risk averse, which investment would she select? Why? c. If she were risk seeking, which investments would she select? Why? d. Suppose a fourth investment, W, is available. It offers an expected return of 18%,and it has a standard deviation of 9%. If Sharon is risk averse, can you say which investment she will choose? Why or why not? Are there any investments that you are certain she will not choose?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_forward
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