A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term bond fund, and thethird is a money market fund that provides a safe return of 8%. The characteristics of the risky funds are as follows:Expected ReturnStandard Deviation20%10%Stock Fund (S)Bond Fund (B)40%20%The correlation between the fund returns is 0.15.What is the Sharpe ratio of the complete portfolio with 30% invested in optimal risky portfolio and 70% invested in risk-free asset?O 0.30200.53450.22820.17220.4231None of the above

Sharpe ratio is the ratio that measures the excess return of a portfolio over risk free rate of…

third is a money market fund that provides a safe return of 8%. The characteristics of the risky funds are as follows: Expected Return Standard Deviation Stock Fund (S) Bond Fund (B) 20% 10% 40% 20% The correlation between the fund returns is 0.15. What is the Sharpe ratio of the complete portfolio with 30% invested in optimal risky portfolio and 70% invested in risk-free asset? O 0.3020 0.5345 0.2282 0.1722 0.4231 None of the above

third is a money market fund that provides a safe return of 8%. The characteristics of the risky funds are as follows: Expected Return Standard Deviation Stock Fund (S) Bond Fund (B) 20% 10% 40% 20% The correlation between the fund returns is 0.15. What is the Sharpe ratio of the complete portfolio with 30% invested in optimal risky portfolio and 70% invested in risk-free asset? O 0.3020 0.5345 0.2282 0.1722 0.4231 None of the above

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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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.
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 %
Vijay
A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term bond fund, and the third is a money market fund that provides a safe return of 7%. The characteristics of the risky funds are as follows: Expected Return Standard Deviation Stock fund (S) 23% 28% Bond fund (B) 15 17 The correlation between the fund returns is 0.12. Solve numerically for the proportions of each asset and for the expected return and standard deviation of the optimal risky portfolio. (Do not round intermediate calculations. Write your answers as decimals rounded to 4 places.)
man.2
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 %
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 0.93. Year 2018 2019 2020 2021 2022 Fund -23.60% 25.10 14.40 7.00 -2.40 Market -44.50% 21.50 15.40 Jensen's alpha Information ratio 9.20 -6.20 Risk-Free 18 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. 2 6 %
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 Fund Market Risk-Free 2018 15.13% -25.5% 2% 2019 25.1 2020 12.5 2021 6.4 2022 -1.26 19.6 9.7 7.6 4 2 4 -2.2 3 What are the Sharpe and Treynor ratios for the fund? Note: Do not round intermediate calculations. Round your answers to 4 decimal places.
am. 02.
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 0.93. Year 2018 2019 2020 2021 2022 Fund -23.60% 25.10 14.40 7.00 -2.40 Market -44.50% 21.50 15.40 9.20 -6.20 Jensen's alpha Information ratio Risk-Free 1% 3 2 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.
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 -15.2% 25.1 12.4 6.2 -1.2 Sortino Ratio Market -24.5% 19.5 9.4 7.6 -2.2 Risk-Free 1% 3 2 Fund 4 2 What is the Sortino ratio for the fund and the market? Note: A negative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers rounded to 4 decimal places. h Market
D3) You manage three funds: a Stock Fund (r 15%, sigma 32%), a Bond Fund (r 9%, sigma 23%) and a T-Bill Fund (risk-free rate 5.5%). The correlation coefficient between the two risky funds is 0.15. The Optimal Risky Portfolio has an expected return of 12.88% and a sigma of 23.34%. You have a client who would like to have a return of 11% for her Total Portfolio. You recommend a mix of the Optimal Risky Portfolio and the T-Bill Fund, but she wonders if she could also achieve that return only using your two risky funds. How much additional Volatility will she have to endure if she avoids your recommendation?

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