Financial Management: Theory & Practice
16th Edition
ISBN: 9780357296776
Author: Eugene F. Brigham, Michael C. Ehrhardt
Publisher: Cengage Learning US
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Chapter 25, Problem 2MC
Summary Introduction
Plot: Attainable portfolios for the correlation +0.35, +1.0 and -1.0.
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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?
Karen Kay, a portfolio manager at Collins Asset Management, is using thecapital asset pricing model (CAPM) for making recommendations to her clients.Her research department has developed the information shown in the followingexhibit.Forecast Returns, Standard Deviations, and BetasForecast Return Standard Deviation BetaLow β stock (X) 14.0% 36% 0.8High β stock (Y) 17.0% 25% 1.5Market index 14.0% 15% 1.0Risk-free rate 5.0%(a) Calculate expected return and alpha for each stock.(b) Identify and justify which stock would be more appropriate for an investorwho wants to add this stock to a well-diversified equity portfolio.(c) Now consider Karen employs the “Betting Against Beta” strategy and let, , and denote the portfolio weights of the investmentin each of the asset classes (e.g. risk-free asset, low beta stock, market index,high beta stock, respectively) such that .According to its investment mandate, Collins Asset Management shouldtarget a gross leverage of 2.3. How much does she have to…
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: Plot the attainable portfolios for a correlation of 0.35. Now plot the attainable portfolios for correlations of +1.0 and −1.0.arrow_forwardYou have been hired at the investment firm of Bowers Noon. One of its clients doesnt understand the value of diversification or why stocks with the biggest standard deviations dont always have the highest expected returns. Your assignment is to address the clients concerns by showing the client how to answer the following questions: Add a set of indifference curves to the graph created for part b. What do these curves represent? What is the optimal portfolio for this investor? Add a second set of indifference curves that leads to the selection of a different optimal portfolio. Why do the two investors choose different portfolios?arrow_forwardYou have been hired at the investment firm of Bowers Noon. One of its clients doesnt understand the value of diversification or why stocks with the biggest standard deviations dont always have the highest expected returns. Your assignment is to address the clients concerns by showing the client how to answer the following questions: e. Add a set of indifference curves to the graph created for part b. What do these curves represent? What is the optimal portfolio for this investor? Add a second set of indifference curves that leads to the selection of a different optimal portfolio. Why do the two investors choose different portfolios?arrow_forward
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- You are a portfolio manager. John Smith, one of your clients, by providing you the following formation requested you to calculate standard deviation of Shah Corporation stock and High Fly Corporation. Based on the given information, what is the standard deviation of the returns on i) Shah Corporation and ii) High Fly Corporation? Which stock has higher standard deviation? Why? Please provide your reasoning. Please show all the calculations by which you came up with the final answer.arrow_forwardYou 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 052arrow_forwardAssume you wish to evaluate the risk and return behaviors associated with various combinations of two stocks, Alpha Software and Beta Electronics, under three possible degrees of correlation: perfect positive, uncorrelated, and perfect negative. The average return and standard deviation for each stock appears here: a. If the returns of assets Alpha and Beta are perfectly positively correlated (correlation coefficient = + 1), over what range would the average return on portfolios of these stocks vary? In other words, what is the highest and lowest average return that different combinations of these stocks could achieve? What is the minimum and maximum standard deviation that portfolios Alpha and Beta could achieve? b. If the returns of assets Alpha and Beta are uncorrelated (correlation coefficient = 0), over what range would the average return on portfolios of these stocks vary? What is the standard deviation of a portfolio that invests 75% in Alpha and 25% in Beta? How does this…arrow_forward
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