Greta has risk aversion of A = 3 and a 1-year investment horizon. She is pondering two portfolios, the S&P 500 and a hedge fund, as well as a number of 1-year strategies. (All rates are annual and continuously compounded.) The S&P 500 risk premium is estimated at 8% per year, with a standard deviation of 22%. The hedge fund risk premium is estimated at 10% with a standard deviation of 37%. The returns on both of these portfolios in any particular year are uncorrelated with its own returns in other years. They are also uncorrelated with the returns of the other portfolio in other years. The hedge fund claims the correlation coefficient between the annual return on the S&P 500 and the hedge fund return in the same year is zero, but Greta is not fully convinced by this claim. Calculate Greta's capital allocation using an annual correlation of 0.3. Note: Do not round your intermediate calculations. Round your answers to 2 decimal places. S&P Hedge Risk-free asset % % %

Greta has risk aversion of A = 3 and a 1-year investment horizon. She is pondering two portfolios, the S&P 500 and a hedge fund, as well as a number of 1-year strategies. (All rates are annual and continuously compounded.) The S&P 500 risk premium is estimated at 8% per year, with a standard deviation of 22%. The hedge fund risk premium is estimated at 10% with a standard deviation of 37%. The returns on both of these portfolios in any particular year are uncorrelated with its own returns in other years. They are also uncorrelated with the returns of the other portfolio in other years. The hedge fund claims the correlation coefficient between the annual return on the S&P 500 and the hedge fund return in the same year is zero, but Greta is not fully convinced by this claim. Calculate Greta's capital allocation using an annual correlation of 0.3. Note: Do not round your intermediate calculations. Round your answers to 2 decimal places. S&P Hedge Risk-free asset % % %

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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A fund manager owns a portfolio of 10 stocks. Explain how the manager can reduce the systematic risk of his portfolio by 10% over the next year using futures. Will the expected return on the manager’s portfolio also drop by 10%? Is it possible for the manager to perfectly hedge his exposure to equity risk? Explain your answers.
Alice's portfolio consists solely of an investment in Merrill stock. Merrill has an expected return of 13% and a volatility of 18%. The market portfolio has an expected return of 12% and a volatility of 25%. The risk-free rate is 4%. Assume that the CAPM assumptions hold in the market. Assuming that Alice wants to maintain the current expected return on his portfolio, then the amount that Alice should invest in the market portfolio to minimize his volatility is closest to: Select one: O A. 110% O B. 90% C. 125% D. 100%
Greta has risk aversion of A = 3 when applied to return on wealth over a 1-year horizon. She is pondering two portfolios, the S&P 500 and a hedge fund, as well as a number of 1-year strategies. (All rates are annual and continuously compounded.) The S&P 500 risk premium is estimated at 9% per year, with a standard deviation of 17%. The hedge fund risk premium is estimated at 11% with a standard deviation of 32%. The returns on both of these portfolios in any particular year are uncorrelated with its own returns in other years. They are also uncorrelated with the returns of the other portfolio in other years. The hedge fund claims the correlation coefficient between the annual return on the S&P 500 and the hedge fund return in the same year is zero, but Greta is not fully convinced by this claim. Required: a-1. Assuming the correlation between the annual returns on the two portfolios is 0.3, what would be the optimal asset allocation? a-2. What is the expected risk premium on the…
Greta has risk aversion of A= 5 when applied to return on wealth over a one-year horizon. She is pondering two portfolios, the S&P 500 and a hedge fund, as well as a number of 1-year strategies. (All rates are annual and continuously compounded.) The S&P 500 risk premium is estimated at 9% per year, with a standard deviation of 17%. The hedge fund risk premium is estimated at 11% with a standard deviation of 32%. The returns on both of these portfolios in any particular year are uncorrelated with its own returns in other years. They are also uncorrelated with the returns of the other portfolio in other years. The hedge fund claims the correlation coefficient between the annual return on the S&P 500 and the hedge fund return in the same year is zero, but Greta is not fully convinced by this claim. a-1. Assuming the correlation between the annual returns on the two portfolios is indeed zero, what would be the optimal asset allocation? (Do not round intermediate calculations. Enter your…
Manshukh
Greta has risk aversion of A = 5 and a 1-year investment horizon. She is pondering two portfolios, the S&P 500 and a hedge fund, as well as a number of 1-year strategies. (All rates are annual and continuously compounded.) The S&P 500 risk premium is estimated at 7% per year, with a standard deviation of 19%. The hedge fund risk premium is estimated at 11% with a standard deviation of 34%. The returns on both of these portfolios in any particular year are uncorrelated with its own returns in other years. They are also uncorrelated with the returns of the other portfolio in other years. The hedge fund claims the correlation coefficient between the annual return on the S&P 500 and the hedge fund return in the same year is zero, but Greta is not fully convinced by this claim. What should be Greta's capital allocation? Note: Do not round your intermediate calculations. Round your answers to 2 decimal places. S&P Hedge Risk-free asset % % %
Greta has risk aversion of A = 5 and a 1-year investment horizon. She is pondering two portfolios, the S&P 500 and a hedge fund, as well as a number of 1-year strategies. (All rates are annual and continuously compounded.) The S&P 500 risk premium is estimated at 7% per year, with a standard deviation of 19%. The hedge fund risk premium is estimated at 11% with a standard deviation of 34%. The returns on both of these portfolios in any particular year are uncorrelated with its own returns in other years. They are also uncorrelated with the returns of the other portfolio in other years. The hedge fund claims the correlation coefficient between the annual return on the S&P 500 and the hedge fund return in the same year is zero, but Greta is not fully convinced by this claim. Calculate Greta's capital allocation using an annual correlation of 0.3. Note: Do not round your intermediate calculations. Round your answers to 2 decimal places. S&P Hedge % % Risk-free asset %
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Your portfolio allocates equal funds to DW Company and Woodpecker, Incorporated. DW Company stock has an annual return mean and standard deviation of 15.5 percent and 44 percent, respectively. Woodpecker stock has an annual return mean and standard deviation of 12.6 percent and 44 percent, respectively. The return correlation between DW and Woodpecker is zero. What is the smallest expected loss for your portfolio in the coming month with a probability of 16 percent? Note: A negative value should be indicated by a minus sign. Do not round intermediate calculations. Round the z-score value to 3 decimal places when calculating your answer. Enter your answer as a percent rounded to 2 decimal places. X Answer is complete but not entirely correct. Smallest expected loss -20.43 × %
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Elsi is a risk-averse investor. She has invested 60% of her investment in share A and all the remainder in share B. Below are projections for the shares as well as the market. A В Market Expected return (%) Standard deviation (%) 10 30 20 40 70 30 Correlations A 1 0.2 1 Market 0.3 0.68 1. Required: a) What are the expected return and standard deviation of returns on the portfolio? b) The correlation between A and B is expected to be -1, what proportion should Elsi invest in A in order to form a minimum variance portfolio? Assume that she will invest only in A and B. c) Elsi is wondering if beta is a more appropriate risk measure for the shares. Explain when beta is a more appropriate measure of risk than standard deviation. d) Calculate the beta of A and B. Construct a portfolio for Elsi. The portfolio will consist of shares A and B and have the same level of systematic risk as the market. e) i) What will be the expected return and standard deviation of returns on the portfolio? ii)…

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