Contemporary Financial Management
14th Edition
ISBN: 9781337090582
Author: R. Charles Moyer, James R. McGuigan, Ramesh P. Rao
Publisher: Cengage Learning
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Chapter 8, Problem 18P
Summary Introduction
To determine: Expected beta of portfolio.
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You are going to invest $50,000 in a portfolio consisting of assets X, Y, and Z, as follows;
What is the expected return of this portfolio?
Calculate the beta coefficient of the portfolio
Asset A offers an expected rate of return of 25%, with a standard deviation of 20%. Asset B offers an expected
return of 15% with a standard deviation of 30%. The risk-free asset offers 5%. Suppose that the correlation
coefficient between asset A and asset B equals 1. Please specify the portfolio weight on asset A in the optimal
risky portfolio.
Your answer should be a entered as a decimal rounded to two decimal places, e.g., enter 63% as 0.63.
a)Identify two investment alternatives that can be combined in a portfolio. Assume a 50-50 investment allocation in each investment alternative.b) Compute the expected return of the portfolio thus formed.c) Compute the portfolio’s beta. Is the portfolio aggressive or defensive?
Chapter 8 Solutions
Contemporary Financial Management
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- The UIB company desires to construct a portfolio with 15% expected return. The portfolio is to consist of some combination of security X and security Y, which have the following expected returns, standard deviations of returns, and betas: Security X 8% 6% 0.94 Security 19% 15% 1.50 Market portfolio 13% 4% Risk free return 2% Expected return Standard deviation Beta Determine the beta of the portfolioarrow_forwardThe UIB company desires to construct a portfolio with 15% expected return. The portfolio is to consist of some combination of security X and security Y, which have the following expected returns, standard deviations of returns, and betas: Security Security Y Market Risk free X portfolio return Expected 8% 19% 13% 2% return Standard 6% 15% 4% deviation Beta 0.94 1.50 1. Determine the beta of the portfolio. 2. Should UIB invest in the portfolio. Justify. 3. Compute the correlation between security Y and the market portfolioarrow_forwardThe following portfolios are being considered for investment. During the period under consideration, RFR =0.07 Porfolio Return Beta P 0.15 1.00 0.05 Q 0.20 1.50 0.1 R 0.10 0.60 0.03 S 0.17 1.10 0.06 Market 0.13 1.00 0.04 Compute the Sharpe measure for each portfolio and the market portfolio Compute the Treynor measure for each portfolio and the market portfolio Rank the portfolios using each measure explaining the cause for any differences you find in the rankings.arrow_forward
- The following portfolios are being considered for investment. During the period under consideration, RFR = 0.07.Portfolio Return Beta σiA 0.15 1.0 0.05B 0.20 1.5 0.10C 0.10 0.6 0.03D 0.17 1.1 0.06Market 0.13 1.0 0.04 a. Compute the Sharpe measure for each portfolio and the market portfolio. b. Compute the Treynor measure for each portfolio and the market portfolio. c. Rank the portfolios using each measure, explaining the cause for any differences you find in the rankings.arrow_forwardThe following portfolios are being considered for investment. During the period under consideration, RFR = 0.07. Portfolio Return Beta P 0.15 1.00 0.05 Q 0.09 0.50 0.03 R. 0.21 1.30 0.10 0.18 1.20 0.06 Market 0.12 1.00 0.04 a. Compute the Sharpe measure for each portfolio and the market portfolio. Round your answers to three decimal places. Portfolio Sharpe measure P Q R Market b. Compute the Treynor measure for each portfolio and the market portfolio. Round your answers to three decimal places. Portfolio Treynor measure P Q R Market c. Rank the portfolios using each measure, explaining the cause for any differences you find in the rankings. Portfolio Rank (Sharpe measure) Rank (Treynor measure) P |-Select- v |-Select- v Q -Select- v -Select- V R. -Select- V -Select- v -Select- v -Select- v Market -Select- v -Select- v -Select- v is poorly diversified since it has a high ranking based on the -Select- but a much lower ranking with the -Select-arrow_forwardThe following portfolios are being considered for investment. During the period under consideration, RFR = 0.08. Portfolio Return Beta σi P 0.14 1.00 0.05 Q 0.20 1.30 0.11 R 0.10 0.60 0.03 S 0.17 1.20 0.06 Market 0.12 1.00 0.04 Compute the Sharpe measure for each portfolio and the market portfolio. Round your answers to three decimal places. Portfolio Sharpe measure P Q R S Market Compute the Treynor measure for each portfolio and the market portfolio. Round your answers to three decimal places. Portfolio Treynor measure P Q R S Marketarrow_forward
- Consider the multifactor model APT with three factors. Portfolio A has a beta of 0.8 on factor 1, a beta of 1.1 on factor 2, and a beta of 1.25 on factor 3. The risk premiums on the factor 1, factor 2, and factor 3 are 3%, 5%, and 2%, respectively. The risk-free rate of return is 3%. The expected return on portfolio A is __________ if no arbitrage opportunities exist. A. 23.0% B. 16.5% C. 13.4% D. 13.5%arrow_forwardAsset X has a beta of 1.7 and an expected return of 15.1%. Asset Y has a beta of .70 and an expected return of 8.50%. The risk-free rate is 4.2%. If you wish to hold a portfolio consisting of assets X and Y and have a portfolio beta equal to 1.0, what is the expected return of the portfolio? The final answer should also be rounded to 5 decimal places.arrow_forwardSuppose you are considering investing your entire portfolio in three assets A, B and C. You expect that after you invest, four possible mutually exclusive scenarios will occur, with associated returns (in %) for each of the three assets as listed below. The probability of each scenario is given below (Attached image). Find the expected returns and standard deviations of Asset A, B & C. (HINT: the expected return is given by the probability-weighted sum of returns in each scenario. The expected standard deviation is given by the square root of the probability-weighted sum of squared deviations from the expected return.) Is there any reason to invest in Asset A given its low expected return and high standard deviation?arrow_forward
- A person is interested in constructing a portfolio. Two stocks are being considered. Letx = percent return for an investment in stock 1, and y = percent return for an investment instock 2. The expected return and variance for stock 1 are e(x) = 8.45% and Var(x) = 25.The expected return and variance for stock 2 are e(y) = 3.20% and Var(y) = 1. Thecovariance between the returns is sxy = −3.a. what is the standard deviation for an investment in stock 1 and for an investment instock 2? Using the standard deviation as a measure of risk, which of these stocks isthe riskier investment?arrow_forwardConsider the following information for four portfolios, the market, and the risk-free rate (RFR): Portfolio Return Beta SD A1 0.15 1.25 0.182 A2 0.1 0.9 0.223 A3 0.12 1.1 0.138 A4 0.08 0.8 0.125 Market 0.11 1 0.2 RFR 0.03 0 0 Refer to Exhibit 18.6. Calculate the Jensen alpha Measure for each portfolio. a. A1 = 0.014, A2 = -0.002, A3 = 0.002, A4 = -0.02 b. A1 = 0.002, A2 = -0.02, A3 = 0.002, A4 = -0.014 c. A1 = 0.02, A2 = -0.002, A3 = 0.002, A4 = -0.014 d. A1 = 0.03, A2 = -0.002, A3 = 0.02, A4 = -0.14 e. A1 = 0.02, A2 = -0.002, A3 = 0.02, A4 = -0.14arrow_forwardAn investor can design a complete portfolio based on a risky portfolio and a risk-free asset. The risky portfolio has an expected return of 10% and a standard deviation of 20%. Risk-free rate is 5%. If the investment weight on the risky portfolio is 70% and the weight on the risk-free asset is 30%, what is expected return and standard deviation of the complete portfolio?arrow_forward
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