Firm Portfolio Weight Volatility Correlation w/ Market Portfolio Taggart Transcontinental 0.25 14% 0.7 Wyatt Oil 0.35 18% 0.6 Rearden Metal 0.40 15% 0.5 The volatility of the market portfolio is 10%, the expected return on the market is 12%, and the risk-free rate of interest is 4%. The Sharpe Ratio for the market portfolio is closest to?
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|
Firm |
Portfolio Weight |
Volatility |
Correlation w/ Market Portfolio |
|
Taggart Transcontinental |
0.25 |
14% |
0.7 |
|
Wyatt Oil |
0.35 |
18% |
0.6 |
|
Rearden Metal |
0.40 |
15% |
0.5 |
The volatility of the market portfolio is 10%, the expected return on the market is 12%, and the risk-free rate of interest is 4%. The Sharpe Ratio for the market portfolio is closest to?
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- Suppose the risk-free rate is 6 percent and the market portfolio has an expected return of 12 percent. The market portfolio has a standard deviation of 7 percent. Portfolio Z has a correlation coefficient with the market of 0.35 and standard deviation of 6 percent. According to the capital asset pricing model, what is the expected return on portfolio Z a. 12.6 percent b. 7.8 percent c. 9.87 percent d. 12.05 percentThe 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 0.8T-Bills 0.05 0 0Market Portfolio 0.20 0.15 1 a) Determine the weights of a portfolio with a standard deviation of 7% created by combining T-Bill and the market portfolio. b) Determine which of A or B is over-valued or undervalued. c) How will you invest $1000 in riskless T-bills and the risky assets in the Market Portfolio to maintain a standard deviation of 10%. Pls show procedure, thanksThe following data are available to you as portfolio manager: Security Estimated return (%) Beta A 40 3.0 B 35 2.5 C 30 1.0 D 17.5 1.8 E 20.0 1.5 Market Index 25 2.0 Government Security 17 0 In terms of the security market line, which of the securities listed above are underpriced? Assuming that a portfolio is constructed using equal proportions of the five securities listed above, calculate the expected return and risk of such a portfolio
- Using CAPM to determine the expected rate of return for risky assets, consider the following example stocks, assuming that you have already compute the betas Stock Beta A 0.70 B 1.00 C 1.15 D 1.40 E -0.30 Assume that we expect the economy’s RFR to be 5 percent (0.05) and the expected return on the market portfolio (E(RM)) to be 9 percent (0.09), 1, what would this imply? With these inputs, what would the be the following required rate of returns for these five stocks, show the formula for each in your calculations.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 a) Determine the weights of a portfolio with a standard deviation of 7% created by combining T-Bill and the market portfolio. b) Determine which of A or B is over-valued or undervalued. c) How will you invest $1000 in riskless T-bills and the risky assets in the Market Portfolio to maintain a standard deviation of 10%.c) Assume that using the Security Market Line (SML) the required rate of return (RA) on stock A is foundto be half of the required return (RB) on stock B. The risk-free rate (Rf) is one-fourth of the requiredreturn on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A (A) to beta of B(B). (10 marks)d) Assume that the short-term risk-free rate is 3%, the market index S&P500 is expected to payreturns of 15% with the standard deviation equal to 20%. Asset A pays on average 5%, has standarddeviation equal to 20% and is NOT correlated with the S&P500. Asset B pays on average 8%, also hasstandard deviation equal to 20% and has correlation of 0.5 with the S&P500. Determine whetherasset A and B are overvalued or undervalued, and explain why. (10 marks)(Hint: Beta of asset i (??) =???????, where ??,?? are standard deviations of asset i and marketportfolio, ??? is the correlation between asset i and the market portfolio)
- The Treasury bill rate is 4.9%, and the expected return on the market portfolio is 11.1%. Use the capital asset pricing model. What is the risk premium on the market? (Enter your answer as a percent rounded to 1 decimal place.) What is the required return on an investment with a beta of 1.2? (Enter your answer as a percent rounded to 2 decimal places.) If an investment with a beta of 0.46 offers an expected return of 8.7%, does it have a positive NPV? If the market expects a return of 12.2% from stock X, what is its beta? (Round your answer to 2 decimal places.)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: How will you invest $1000 in riskless T-bills and the risky assets in the Market Portfolio to maintain a standard deviation of 10%.Using the following information determine the expected rate of return for a risky asset using CAPM, consider the following example stocks assuming that you have already computed their betas Stocks Beta A 0.70 B 1.00 C 1.15 D 1.40 E -0.30 Assume that you expect the economy RFR to be 6% (0.06) The expected return on the market portfolio (E(Rm)) to be 8% (0.08) A market risk premium of (0.04). Question: What would be the SML required rate of return for the following stocks. A, B,C,D and E
- An analyst wants to evaluate Portfolio X, consisting entirely of U.S. common stocks, using both the Treynor and Sharpe measures of portfolio performance. The following table provides the average annual rate of return for Portfolio X, the market portfolio (as measured by the Standard and Poor’s 500 Index), and U.S. Treasury bills (T-bills) during the past eight years. Rate Annual Averageof Return STANDARD DEVIATION OF RETURN BETA Portfolio X 10 13 0.40 S&P 500 12 10 1.00 T-bills 7 n/a n/a n/a = not applicable Calculate both the Treynor measure and the Sharpe measure for both Portfolio X and the S&P 500. Round your answers for the Treynor measure to one decimal place and for the Sharpe measure to three decimal places. Treynor measure Sharpe measure Portfolio X 7.5 S&P 500 5Consider a single-index model economy. The index portfolio M has E(RM ) = 6%, σM = 18%.An individual asset i has an estimate of βi = 1.1 and σ2ei = 0.0225 using the single index modelRi = αi + βiRM + ei. The forecast of asset i’s return is E(ri) = 12%. rf = 4%. a) According to asset i’s return forecast, calculate αi. (b) Calculate the optimal weight of combining asset i and the index portfolio M . (c) Calculate the Sharpe ratio of the index portfolio M and the portfolio optimally combiningasset i and the index portfolio M .The expected return on the Market Portfolio M is E(RM)=15%, the standard deviation is sM=25% and the risk-free rate is Rf=5%. a. Suppose that stock X has standard deviation sX=30%, and correlation with the market portfolio rXM=0.5. Compute bX and E(RX) (the beta and the expected return of stock X) according to the Market Model (ie: alpha equals zero under the Market Model). b. Suppose that stock Y has standard deviation sy=15%, and correlation with the market portfolio rYM=-0.1. Compute bY and E(RY) (the beta and the expected return of stock Y) according to the Market Model (ie: alpha equals zero under the Market Model). c. Compute the beta of a portfolio composed 65% of stock X and 35% of stock Y.