a. What is the expected return on an equally weighted portfolio of these three stocks? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. What is the variance of a portfolio invested 24 percent each in A and B and 52 percent in C? (Do not round intermediate calculations and round your answer to 6 decimal places, e.g., .161616.)
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- Two-Asset Portfolio Stock A has an expected return of 12% and a standard deviation of 40%. Stock B has an expected return of 18% and a standard deviation of 60%. The correlation coefficient between Stocks A and B is 0.2. What are the expected return and standard deviation of a portfolio invested 30% in Stock A and 70% in Stock B?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?The following expected return and the standard deviation of current returns are known: Security (i) Expected Return Standard Deviation βi A 0.20 0.12 1.1 B 0.12 0.10 0.8 T-Bills 0.05 0 0 Market Portfolio 0.20 0.15 1 Required: Determine the weights of a portfolio with a standard deviation of 7% created by combining T-Bill and the market portfolio.
- The data on the expected return of 2 stocks (M and C) along with the economic conditions and their probabilities is attached below Questions : Calculate the expected return for asset M and asset C. Calculate the standard deviation for asset M and asset C. c) If asset M is a market portfolio, while the beta (β) for asset C is 1.25 and the risk-free asset is 6%. What is the required rate of return for asset C according to the CAPM method ?. .Consider the following information: Rate of Return if State Occurs State of Probability of State Economy of Economy Stock A Stock B Stock C Boom .68 .11 .05 .36 Bust .32 .25 .31 –.16 a. What is the expected return on an equally weighted portfolio of these three stocks? b. What is the variance of a portfolio invested 23 percent each in A and B and 54 percent in C?The 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.
- The following expected return and the standard deviation of current returns are known: Security (i) Expected Return Standard Deviation βi A 0.20 0.12 1.1 B 0.12 0.10 0.8 T-Bills 0.05 0 0 Market Portfolio 0.20 0.15 1 Required: Determine which of A or B is over-valued or undervalued.Expected returns and standard deviations of three risky assets are as follows: Expected Return Standard Deviations Correlations A B C A 11% 30% 1.0 0.3 0.15 B 14.5% 45% 0.3 1.0 0.45 C 9% 30% 0.15 0.45 1.0 1. Calculate the expected return and standard deviations of a portfolio of stocks A, B and C. Assume an equal investment in each stock. 2. Compute the Sharpe ratio of a portfolio that has 30% in A, 30% in B and 40% in C. The risk-free interest rate is 4%. 3. Assume a portfolio of asset B and C. Determine the weight in asset B, such that the total portfolio risk is minimized.Consider the following information: Portfolio Expected Return Standard Deviation Risk-free 7% 0% Market 11.6 28 A 10.0 17 Required: a. Calculate the Sharpe ratios for the market portfolio and portfolio A. (Round your answers to 2 decimal places.) b. If the simple CAPM is valid, is the above situation possible?
- Consider the following information about three stocks: State of Economy Probability of State of Economy Rate of Return If State Occurs Stock A Stock B Stock C Boom .25 .13 .29 .60 Normal .60 .08 .11 .13 Bust .15 .02 −.18 −.45 a-1. If your portfolio is invested 40 percent each in A and B and 20 percent in C, what is the portfolio expected return? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) a-2. What is the variance? (Do not round intermediate calculations and round your answer to 5 decimal places, e.g., .16161.) a-3. What is the standard deviation? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. If the expected T-bill rate is 3.70 percent, what is the expected risk premium on the portfolio? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g.,…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.Consider the following information on a portfolio of three stocks: State of Economy Probability of State of Economy Stock A Rate of Return Stock B Rate of Return Stock C Rate of Return Boom.13.02.32.50 Normal.55.10.22.20 Bust .32.16.21.35 If your portfolio is invested 40 percent each in A and B and 20 percent in C, what is the portfolio's expected return, the variance, and the standard deviation? Note: Do not round intermediate calculations. Round your variance answer to 5 decimal places, e.g., 16161. Enter your other answers as a percent rounded to 2 decimal places, e. g., 32.16. If the expected T-bill rate is 4.25 percent, what is the expected risk premium on the portfolio? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e. g., 32.16.