K 1.43 OT 10 Save Expected return of a portfolio using beta. The beta of four stocks-P, Q, R, and S-are 0.49, 0.91, 1.15, and 1.44, respectively and the beta of portfolio 1 is 1.00, the beta of portfolio 2 is 0.89, and the beta of portfolio 3 is 1.12. 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 5.0% (risk-free rate) and a market premium of 12.0% (slope of the line)? What is the expected return of stock P? 10.88% (Round to two decimal places.) What is the expected return of stock Q? % (Round to two decimal places.)
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- You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: Portfolio X Y Z Market Risk-free Rp 11.0% ор 33.00% 10.0 28.00 8.1 10.4 5.2 18.00 23.00 Ө вр 1.45 1.20 0.75 1.00 Ө Assume that the correlation of returns on Portfolio Y to returns on the market is 0.66. What percentage of Portfolio Y's return is driven by the market? Note: Enter your answer as a decimal not a percentage. Round your answer to 4 decimal places. R-squaredQuestion 16 a. 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 0.092 b. A portfolio that combines the risk-free asset and the market portfolio has an expected return of 7 percent and a standard deviation of 10 percent. The risk-free rate is 4 percent, and the Page 7 of 33 expected return on the market portfolio is 12 percent. Assume the capital asset pricing model holds. What expected rate of return would a security earn if it had a .45 correlation with the market portfolio and a standard deviation of 55 percent? c. Suppose the risk-free rate is 4.2 percent and the market portfolio has an expected return of 10.9 percent. The market…You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: 8p 1.70 1.30 0.85 1.00 Portfolio X Y Z Market Risk-free Rp 11.5% 10.5 7.2 10.9 4.6 R-squared op 38.00% 33.00 23.00 28.00 0 Assume that the correlation of returns on Portfolio Y to returns on the market is 0.76. What percentage of Portfolio Y's return is driven by the market? Note: Enter your answer as a decimal not a percentage. Round your answer to 4 decimal places.
- a. 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 K Recession 0.25 -0.02 0.034 Normal 0.6 0.138 0.062 Boom 0.15 0.218 0.092 b. A portfolio that combines the risk-free asset and the market portfolio has an expected return of 7 percent and a standard deviation of 10 percent. The risk-free rate is 4 percent, and the expected return on the market portfolio is 12 percent. Assume the capital asset pricing model holds. What expected rate of return would a security earn if it had a .45 correlation with the market portfolio and a standard deviation of 55 percent? c. Suppose the risk-free rate is 4.2 percent and the market portfolio has an expected return of 10.9 percent. The market portfolio has a variance of…You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: Portfolio X Y Z Market Risk-free Rp 14.0% 13.0 .8.5 12.0 7.2 Ор 39.00% 34.00 24.00 29.00 0 Bp 1.50 1.15 0.90 1.00 0 Assume that the correlation of returns on Portfolio Y to returns on the market is 0.90. What percentage of Portfolio Y's return is driven by the market? Note: Enter your answer as a decimal not a percentage. Round your answer to 4 decimal places. R-squareda. 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 returm 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 0.092 b. A portfolio that combines the risk-free asset and the market portfolio has an expected return of percent and a standard deviation of 10 percent. The risk-free rate is 4 percent, and the Page 7 of 33 expected return on the market portfolio is 12 percent. Assume the capital asset pricing model holds. What expected rate of return would a security earn if it had a 45 corelation with the market portfolio and a standard deviation of 55 percent? C. Suppose the risk-free rate is 4.2 percent and the market portfolıo has an expected return of 10.9 mercent Tibemadkat normfeliobasiabiamance…
- 2. Consider a portfolio of three stocks. The weights of the three stocks are 0.2, 0.3, and 0.5. The betas of the three stocks are 1, 1.5, and 2. The beta of the portfolio is A. 1.55 B. 1.65 C. 1.75 D. 1.70Qn4: Assume a two-stock portfolio created with $50,000 is invested in both HT and Collections. The expected returns are given below: Calculate the portfolio's return for each state of economy and fill them in the last column, under "Portfolio" (Hint: The portfolio's expected return is a weighted average of the returns of the portfolio's component assets). Calculate the portfolio's expected return (Hint: You have to incorporate the probability distribution of each state of economy). Calculate the portfolio's standard deviation. Economy Recession Below average Average Above average Boom Prob. HT 0.1 -27.0% 0.2 -7.0% 0.4 15.0% 0.2 30.0% 0.1 45.0% Coll 27.0% 13.0% 0.0% -11.0% -21.0% Portfolio5. Portfolio Beta Portfolio beta can be computed in the same way as portfolio return was computed. If stock A had a beta of 1.5 and stock B had a beta of -0.60, the beta of a portfolio comprised of both these stocks would be: Portfolio beta =WABA + WBBB = 0.3 (1.5) + 0.70 (-0.6) = 0.45 + (-0.42) = 0.03 The Excel application is also similar to how it was for potfolio return. Since you know the result for portfolio beta already (0.03), try and obtain it again in Excel. Note: There is no need to compute the beta of the market. It is 1 by default
- You are given the following information concerning three portfolios, the market portfolio, and the risk- free asset: Portfolio X Y Z Market Risk-free Rp 14.5% R-squared 13.5 9.1 10.7 5.4 op 36% 31 21 26 0 6p 1.60 1.30 .80 1.00 0 Assume that the correlation of returns on Portfolio Y to returns on the market is 72. What percentage of Portfolio Y's return is driven by the market? (Enter your answer as a decimal not a percentage. Round your answer to 4 decimal places.)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?…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 Market