FINANCIAL MANAGEMENT: THEORY AND PRACTIC
16th Edition
ISBN: 9780357691977
Author: Brigham
Publisher: CENGAGE L
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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 AND PRACTIC
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
- 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 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: d. Construct a plausible graph that shows risk (as measured by portfolio standard deviation) on the x-axis and expected rate of return on the y-axis. Now add an illustrative feasible (or attainable) set of portfolios and show what portion of the feasible set is efficient. What makes a particular portfolio efficient? Dont worry about specific values when constructing the graphmerely illustrate how things look with reasonable data.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: Suppose a risk-free asset has an expected return of 5%. By definition, its standard deviation is zero, and its correlation with any other asset is also zero. Using only Asset A and the risk-free asset, plot the attainable portfolios.arrow_forward
- 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
- A portfolio manager summarizes the input from the macro and micro forecasters in the following table: (see image ) a. Calculate expected excess returns, alpha values, and residual variances for these stocks. (Negative values should be indicated by a minus sign. Do not round intermediate calculations. Round "Alpha values" to 1 decimal place.) b. What should be the exact makeup of the complete portfolio (including the risk-free asset) for an investor with a coefficient of risk aversion of 3.2? (Do not round intermediate calculations. Round your answers to 2 decimal places.) final positions bills M A B C D TOTALarrow_forward(Expected rate of return and risk) Syntex, Inc. is considering an investment in one of two common stocks. Given the information that follows, which investment is better, based on the risk (as measured by the standard deviation) and return? Common Stock A Probability 0.20 0.60 0.20 Probability 0.15 0.35 0.35 0.15 (Click on the icon in order to copy its contents into a spreadsheet.) ew an example Get more help. T 3 a. Given the information in the table, the expected rate of retum for stock A is 15.6 %. (Round to two decimal places.) The standard deviation of stock A is %. (Round to two decimal places.) E D 80 73 Return. 12% 16% 18% U с $ 4 R F 288 F4 V Common Stock B % 5 T FS G 6 Return -7% 7% 13% 21% B MacBook Air 2 F& Y H & 7 N 44 F? U J ** 8 M | MOSISO ( 9 K DD O . Clear all : ; y 4 FIX { option [ + = ? 1 Check answer . FV2 } ◄ 1 delete 1 return shiftarrow_forwardPlease do not give solution in image formate thanku. Consider three investments. You are given the following means, standard deviations, and correlations for the annual return on these three investments. The means are 0.12, 0.15, and 0.20. The standard deviations are 0.20, 0.30, and 0.40. The correlation between stocks 1 and 2 is 0.65, between stocks 1 and 3 is 0.75, and between stocks 2 and 3 is 0.41. You have $10,000 to invest and can invest no more than half of your money in any single stock. Determine the minimum-variance portfolio that yields a mean annual return of at least 0.14. PLEASE USE SOLVER (SHOW EACH STEP) AND DO NOT COPY OTHERS. THANKS!arrow_forward
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