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Howwould someone choose between investing in Portfolio A and Portfolio B?
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- Portfolio Expected return Standard deviation Q 7.8% 10.5% R 10.0% 14.0% S 4.6% 5.0% T 11.7% 18.5% U 6.2% 7.5% What is the minimum level of risk that would be necessary for an investment to earn 7.0%? What is the composition of the portfolio along the Capital Market Line (CML) that will generate that expected return? Rf= 3%Consider following information on a risky portfolio, risk-free asset and the market index. What is the T2 of the risky portfolio? Risky portfolio Risk-free asset Market index Average return 8.2% 2% 6% Std. Dev. 26% 20% Residual std. dev. 10% Alpha 1.4% Beta 1.2Suppose a portfolio is given as follows: Securities Weight BPW CJW AJT O 6.0% O 5.0% 0.3 O 5.1% 0.4 O 7.0% Onone listed Expected Standard Return Deviation 6% 7% 0.3 5% What is the expected return of the portfolio (to 1 decimal place)? 6% 4% 3%
- Consider following information on a risky portfolio, risk-free asset and the market index. What is the Sharpe ratio of the market index? Risky portfolio Risk-free asset Market index Average return 8.2% 2% 6% Std. Dev. 26% 20% Residual std. dev. 10% Alpha 1.4% Beta 1.2State of Economy Probability ABC Company Expected Return Expected Return XYZ Company Very Poor 0.30 -9% -19% Poor 0.25 -8% -6% Good 0.15 8% 9% Very Good 0.30 34% 33% Expected Return 6.70% 4.05% A) Calculate the covariance of the portfolio. Please answer as a decimal to 4 decimal places. Answer:Suppose that• Return Ri:35% RM:28%• Volatility σi: 42% σM: 30%• Find a portfolio combination with the same level of risk than thebenchmark (market)
- Covariance with Mean Return Stock AOL Microsoft Intel AOL .002 .001 15% Microsoft .001 .002 .001 12 Intel 001 .002 10 5.2. Compute the tangency portfolio weights assuming a risk-free asset yields 5 percent.Consider the following simplified APT model: Factor Expected Risk Premium Market 6.4% Interest Rate -0.6% Yield Spread 5.1% Factor Risk Exposures Market Interest Rate Yield Spread Stock Stock(b1) (b2) (b3) P 1.0 -2.0 -0.2 P2 1.2 0 0.3 P3 0.3 0.5 1.0 Required: 1. Calculate the expected return for the above stocks. Assume risk free rate is 5%. Consider a portfolio with equal investments in stocks P, P2 and P3 2.What are the factor risk exposures for the portfolio? 3.What is the portfolio’s expected return?The following table shows risk and return measures for two portfolios. Portfolio Average Annual Rate of Return Standard Deviation Beta R 11% 10% 0.5 S&P 500 14% 12% 1.0 When plotting portfolio R on the preceding table relative to the SML, portfolio R lies: a. Insufficient data given. b. Below the SML, but on the CML. C. Below the SML. d. On the SML. e. Above the SML.
- 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 two securities X and Y. Y Security Expected Return Standard Deviation Beta 12.5% 10.0% Risk-free asset 5.0% OA. 1.33 ○ B. 0.88 OC. 1.17 OD. 1.67 20.0% 1.5 30.0% 1.0Consider the following scenario analysis: Rate of Return Scenario Probability Stocks Bonds Recession 0.30 −5 % 18 % Normal economy 0.60 19 % 7 % Boom 0.10 24 % 7 % b. Calculate the expected rate of return and standard deviation for each investment.
