Expected return of a portfolio using beta. The beta of four stocks-P, Q, R, and S-are 0.59, 0.89, 1.05, and 1.31, respectively and the beta of portfolio 1 is 0.96, the beta of portfolio 2 is 0.87, and the beta of portfolio 3 is 1.05. What are the expected returns of each of the four individual assets and the three portfolios if the current SML is plotted with an intercept of 4.5% (risk-free rate) and a market premium of 12.0% (slope of the line)? What is the expected return of stock P? % (Round to two decimal places.)
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Risk and return
Before understanding the concept of Risk and Return in Financial Management, understanding the two-concept Risk and return individually is necessary.
Capital Asset Pricing Model
Capital asset pricing model, also known as CAPM, shows the relationship between the expected return of the investment and the market at risk. This concept is basically used particularly in the case of stocks or shares. It is also used across finance for pricing assets that have higher risk identity and for evaluating the expected returns for the assets given the risk of those assets and also the cost of capital.
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- Expected return of a portfolio using beta. The beta of four stocks—G, H, I, and J—are 0.44, 0.75, 1.21, and 1.55, respectively and the beta of portfolio 1 is 0.99, the beta of portfolio 2 is 0.83, and the beta of portfolio 3 is 1.14. What are the expected returns of each of the four individual assets and the three portfolios if the current SML is plotted with an intercept of 3.5% (risk-free rate) and a market premium of 10.0% (slope of the line) What is the expected return of portfolio 1? (Round to two decimal places.) What is the expected return of portfolio 2? (Round to two decimal places.) What is the expected return of portfolio 3? (Round to two decimal places.)The 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 MarketThe 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-
- Expected return of a portfolio using beta. The beta of four stocks—G, H, I, and J—are 0.44, 0.75, 1.21, and 1.55, respectively and the beta of portfolio 1 is 0.99, the beta of portfolio 2 is 0.83, and the beta of portfolio 3 is 1.14. What are the expected returns of each of the four individual assets and the three portfolios if the current SML is plotted with an intercept of 3.5% (risk-free rate) and a market premium of 10.0% (slope of the line)? What is the expected return of stock G? (Round to two decimal places.) What is the expected return of stock H? (Round to two decimal places.) What is the expected return of stock I? (Round to two decimal places.) What is the expected return of stock J? (Round to two decimal places.) What is the expected return of portfolio 1? (Round to two decimal places.) What is the expected return of portfolio 2? (Round to two decimal places.) What is the expected return of portfolio 3?…Expected return of a portfolio using beta. The beta of four stocks—P, Q, R, and S—are 0.49, 0.81, 1.19, and 1.53, respectively and the beta of portfolio 1 is 1.01, the beta of portfolio 2 is 0.86, and the beta of portfolio 3 is 1.15. What are the expected returns of each of the four individual assets and the three portfolios if the current SML is plotted with an intercept of 4.5% (risk-free rate) and a market premium of 12.0% (slope of the line)? What is the expected return of stock P? (Round to two decimal places.) What is the expected return of stock Q? (Round to two decimal places.) What is the expected return of stock R? (Round to two decimal places.) What is the expected return of stock S? (Round to two decimal places.) What is the expected return of portfolio 1? (Round to two decimal places.) What is the expected return of portfolio 2? (Round to two decimal places.) What is the expected return of portfolio 3?…Consider an investment portfolio that consists of three different stocks, with the amount invested in each asset shownbelow. Assume the risk-free rate is 2.5% and the market risk premium is 6%. Use this information to answer thefollowing questions.Stock Weights BetasChesapeake Energy 25% 0.8Sodastream 50% 1.3Pentair 25% 1.0a) Compute the expected return for each stock using the CAPM and assuming that the stocks are all fairly priced.b) Compute the portfolio beta and the expected return on the portfolio.c) Now assume that the portfolio only includes 50% invested in Pentair and 50% invested in Sodastream (i.e., a twoassetportfolio). The yearly-return standard deviation of Pentair is 48% and the yearly-return standard deviation ofSodastream is 60%. The correlation coefficent between Pentair’s returns and Sodastream’s returns is 0.3 What is theexpected yearly-return standard deviation for this portfolio?
- 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.If a given stock in the portfolio had established 1.23 beta; the related expected return is at 11.7percent, and 3.5percent is the current earning of a risk-free asset; a. Determine the expected return on a portfolio that is equally invested in the two assets? b. If a portfolio of the two assets has a beta of 0.7, what are the portfolio weights? c. If a portfolio of the two assets has an expected return of 9%, what is its beta? d. If a portfolio of the two assets has a beta of 2.46, what are the portfolio weights? How do you interpret the weights for the two assets in this case? Discuss.Consider 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 = -0.14
- Based on the following information, calculate the expected return and standard deviation for each of the following stocks. What are the covariance and correlation between the returns of the two stocks? Calculate the portfolio return and portfolio standard deviation if you invest equally in each asset. Returns State of Economy Prob J K Recession 0.25 -0.02 0.034 Normal 0.6 0.138 0.062 Boom 0.15 0.218 0.092Consider a portfolio consisting of the following three stocks: E The volatility of the market portfolio is 10% and it has an expected return of 8%. The risk-free rate is 3%. a. Compute the beta and expected return of each stock. b. Using your answer from part (a), calculate the expected return of the portfolio. c. What is the beta of the portfolio? d. Using your answer from part (c), calculate the expected return of the portfolio and verify that it matches your answer to part (b). a. Compute the beta and expected return of each stock. (Round to two decimal places.) TITLT Data table Portfolio Weight (A) Volatility (B) Correlation (C) Expected Return (E) % Beta (D) НЕС Согр 0.28 13% 0.33 Green Widget (Click on the following icon a in order to copy its contents into a spreadsheet.) 0.39 27% 0.61 % Portfolio Weight Alive And Well 0.33 14% 0.43 Volatility 13% Correlation with the Market Portfolio НЕС Согр Green Widget 0.28 0.33 b. Using your answer from part (a), calculate the expected…Using the data in the following table,, consider a portfolio that maintains a 50% weight on stock A and a 50% weight on stock B a. What is the return each year of this portfolio? b. Based on your results from part (a), compute the average return and volatility of the portfolio. c. Show that (i) the average return of the portfolio is equal to the (weighted) average of the average returns of the two stocks, and (ii) the volatility of the portfolio equals the same result as from the calculation in Eq. 11.8. d. Explain why the portfolio has a lower volatility than the average volatility of the two stocks. a. What is the return each year of this portfolio? Enter the return of this portfolio for each year in the table below (Round to two decimal places.) Year Portfolio Data table 2010 % 2011 % 2012 % 2013 % (Click on the following icon in order to copy its contents into a spreadsheet.) 2014 2015 %1 1% Year 2010 2011 2012 2013 2014 2015 Stock A -10% 20% 5% 5% 2% 9% Stock B 21% 7% 30% -3% 8%…