You have been given the following return information for a mutual fund, the market index, and the risk-free rate. You also know that thereturn correlation between the fund and the market is 0.97.Year2018Fund-18.80%Market-36.50%Risk-Free1%201925.1020.706202013.6013.002202120227.00-1.928.40-4.2062Calculate 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 4decimal places.Jensen's alphaInformation ratioAnswer is not complete.3.69 %

Key references: General Finance

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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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7 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 -21.8% 25.1 Sharpe ratio Treynor ratio 14.1 6.4 -2.22 Market -41.5% 21.2 14.5 8.8 -5.2 Risk-Free 3% 4 2 4 3 What are the Sharpe and Treynor ratios for the fund? Note: Do not round intermediate calculations. Round your answers to 4 decimal places.
Consider the following risk-return characteristics for funds A and B: Expected return Risk Fund A (Equity) 12% 20% Fund B (Debt) 9% 16% The correlation coefficient between the returns of fund A and fund B is 0.4. 1. Which Fund is riskier? Write 1 if your answer is Fund A, write 2 if your answer is Fund B, or write 3 if your answer is undetermined. 2.1 What is the weight of fund A in the minimum variance portfolio? 2.4 What is the risk of the minimum variance portfolio? 2.2 What is the weight of Fund B in the minimum variance portfolio? 2.3 What is the expected return of the minimum variance portfolio?
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An analyst develops the following covariance matrix of returns: Hedge Fund Hedge Fund Market Index 0.0289 0.00765 Market Index 0.00765 0.0225 Calculate the correlation of returns between the hedge fund and the market index.
Required information [The following information applies to the questions displayed below.] A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term government and corporate bond fund, and the third is a T-bill money market fund that yields a sure rate of 5.5%. The probability distributions of the risky funds are: Stock fund (S) Bond fund (B) Expected Return 17% 11% The correlation between the fund returns is 0.25. Portfolio invested in the stock Portfolio invested in the bond Expected return Standard deviation Required: 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 and round your final answers to 2 decimal places.) Standard Deviation 36% 27% % % % %
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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 5.5%. The characteristics of the risky funds are as follows: Expected Return Standard Deviation Stock fund (S) 15% 32% Bond fund (B) 9 23 The correlation between the fund returns is .15 11.) Suppose now that your portfolio must yield an expected return of 12% and be efficient that is, on the best feasible CAL. a.) What is the standard deviation of your portfolio? b.) What are the proportion invested in the T-bill fund and each of the two risky funds?
A fund manager can invest in any combination of the three assets with the following expected returns and standard deviations: Asset 1: r1 = 2%, σ1 = 2% Asset 2: r2 = 6%, σ2 = 6% Asset 3: r3 = 4%, σ3 = 4% All three assets returns are uncorrelated: p12 = p13 =p 23 = 0 . Find a portfolio consisting of these three assets that achieves an expected return of 4% with the lowest risk possible. Show all steps.
An investor is evaluating the historical performance of an investment fund. The following annual returns are provided to the investor: Fund Value Year 0 $120 Year 1 132 Year 2 146 Year 3 133 Year 4 128 Year 5 123 Required: a. Calculate the investment returns for each year. b. Compute the arithmetic mean return. c. Calculate the geometric mean return.
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 6%. The characteristics of the risky funds are as follows: Stock fund (S) Bond fund (B) Expected Return 21% 13 The correlation between the fund returns is 0.13. You require that your portfolio yield an expected return of 11%, and that it be efficient, that is, on the steepest feasible CAL. Required: a. What is the standard deviation of your portfolio? b. What is the proportion invested in the money market fund and each of the two risky funds? Required A Standard Deviation 36% 22 Complete this question by enter your answers in the tabs below. Required B Money market fund Stocks Bonds What is the proportion invested in the money market fund and each of the two risky funds? Note: Round your answers to 2 decimal places. Proportion Invested % % %

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