Your client has a risk aversion of A=3 when applied to return on wealth over a 1 year horizon. She is looking at two portfolios: The S&P 500 with a Risk Premium of 8% and a standard Deviation of 20%. A Hedge Fund with a Risk Premium of 12% and a standard Deviation of 35% There is an annual correlation of .6200 Use this data for problems #12 -#16 Fund S&P 500 Hedge Correlation. Risk Aversion A B .6542 5390 Risk Premium .6390 0.0800 Given the risk aversion of 3.0, how much will she invest in the risky assets of the portfolio? Y* Expected Return on Portfolio/ (A*Variance of Portfolio) 0.1200 0.6200 3.00 STDEV 0.2000 0.3500

Your client has a risk aversion of A=3 when applied to return on wealth over a 1 year horizon. She is looking at two portfolios: The S&P 500 with a Risk Premium of 8% and a standard Deviation of 20%. A Hedge Fund with a Risk Premium of 12% and a standard Deviation of 35% There is an annual correlation of .6200 Use this data for problems #12 -#16 Fund S&P 500 Hedge Correlation. Risk Aversion A B .6542 5390 Risk Premium .6390 0.0800 Given the risk aversion of 3.0, how much will she invest in the risky assets of the portfolio? Y* Expected Return on Portfolio/ (A*Variance of Portfolio) 0.1200 0.6200 3.00 STDEV 0.2000 0.3500

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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Raghubhai
You have been given the following return information for a mutual fund, the market index, and the risk-free rate. You also know that the return correlation between the fund and the market is 0.89. Year 2018 Fund -21.20% Market -40.50% Risk-Free 2% 2019 25.10 21.10 4 2020 14.00 14.20 2 2021 6.20 2022 -2.16 8.80 -5.20 4 3 Calculate Jensen's alpha for the fund, as well as its information ratio. Note: Do not round intermediate calculations. Enter the alpha as a percent rounded to 2 decimal places. Round the ratio to 4 decimal places. Jensen's alpha Information ratio %
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You have been given the following return information for a mutual fund, the market index, and the risk-free rate. You also know that the return correlation between the fund and the market is 0.97. Year 2018 2019 2020 2021 2022 Fund -19.4% 25.1 13.7 7.2 -1.98 Sharpe ratio Treynor ratio Market -37.5% 20.8 13.3 8.4 -4.2 Risk-Free 1% 4 2 6 2 What are the Sharpe and Treynor ratios for the fund? Note: Do not round intermediate calculations. Round your answers to 4 decimal places.
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.
You have been given the following return information for a mutual fund, the market index, and the risk-free rate. You also know that the return correlation between the fund and the market is .98. Year 2015 2016 Fund -23.60% Market -44.50% Risk-Free 1% 25.10 21.50 3 2017 14.40 15.40 2 2018 2019 7.00 -2.40 9.20 -6.20 6 2 Calculate Jensen's alpha for the fund, as well as its information ratio. (Do not round intermediate calculations. Enter the alpha as a percent rounded to 2 decimal places. Round the ratio to 4 decimal places.) Jensen's alpha Information ratio %
Anna holds a portfolio comprising the following 3 stocks: X, Y and Z. Investment Amount Beta. Expected return Security X $2000. 1.3. Security Y $1000. 1. 10% Security Z. $500. 0. 2% a. Determine the expected return of security X. b. Calculate the return of Anna’s portfolio. c. Calculate the beta of Anna’s portfolio. d. To reduce the systematic risk of the portfolio, Anna is considering 3 securities to add to the portfolio. Security A has a beta of 0, security B has a beta of 0.5 and Security C has a beta of -0.3. Discuss which security will be most effective in reducing the portfolio’s systematic risk? How would portfolio expected return change (higher or lower) if you add this security?
Vijay
You are a Portfolio Manager who has a Stock Fund, a Bond Fund and a Treasury Bill Fund. The Stock Fund has an expected return of 12.2% and an expected volatility of 18.8%. The Bond Fund has an expected return of 4.3% and an expected volatility of 7.1%. The T-Bill fund will yield a return of 2.7%. The correlation coefficient between the two risky assets is 0.19. If you created a Risky Portfolio from the two risky assets and if your allocation was 40/60 Bonds/Stocks, what would be the expected return of the Risky Portfolio? Group of answer choices 9.04% 7.46% 8.25% 6.34% None of the above
Your client, Sandra is considering three assets: a bond mutual fund, a cryptocurrency ETF, and US Treasury bills. The annualized T-bill rate is 2%. The information below refers to the two risky assets. Expected return Standard deviation Bond mutual fund Cryptocurrency ETF 3% 10% Correlation coefficient 0 14% 20% (a) What are the proportions of each asset, in Sandra's optimal risky portfolio? (b) Suppose the return for each risky asset follows a normal distribution. What is the 1% value-at-risk for Sandra's optimal risky portfolio? Hint: P(Z<-2.326) = 0.01 where Z~N(0, 1).
You have been given the following return information for a mutual fund, the market index, and the risk-free rate. You also know that the return correlation between the fund and the market is 0.97. Year 2018 Fund -18.80% Market -36.50% Risk-Free 1% 2019 25.10 20.70 6 2020 13.60 13.00 2 2021 2022 7.00 -1.92 8.40 -4.20 6 2 Calculate Jensen's alpha for the fund, as well as its information ratio. Note: Do not round intermediate calculations. Enter the alpha as a percent rounded to 2 decimal places. Round the ratio to 4 decimal places. Jensen's alpha Information ratio Answer is not complete. 3.69 %

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