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 0.97.1ITTMarketRisk-FreeYearFund2011-21.8%-41.5%3%201225.121.2414.1201314.58.820146.44-2.222015-5.2What are the Sharpe and Treynor ratios for the fund? (Do not round intermediate calculations. Round your answers to 4 decimalplaces.)Sharpe ratioTreynor ratio

Calculation of Sharpe and Treynor ratio using excel is as follows:

Answered: You have been given the following…

Intermediate Financial Management (MindTap Course List)

13th Edition

ISBN:9781337395083

Author:Eugene F. Brigham, Phillip R. Daves

Publisher:Eugene F. Brigham, Phillip R. Daves

Chapter2: Risk And Return: Part I

Section: Chapter Questions

Problem 10P

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You have been given the following return information for two mutual funds (Papa and Mama), the market index, and the risk-free rate. Year Papa Fund Mama Fund Market Risk-Free 2011 –12.6 % –22.6 % –24.5 % 1 % 2012 25.4 18.5 19.5 3 2013 8.5 9.2 9.4 2 2014 15.5 8.5 7.6 4 2015 2.6 –1.2 –2.2 2 Calculate the Sharpe ratio, Treynor ratio, Jensen’s alpha, information ratio, and R-squared for both funds. (Input all amounts as positive values. Do not round intermediate calculations. Enter all answers as a decimal value rounded to 4 decimal places.) PAPA MAMA SHARPE RATIO: TREYNOR RATIO JENSEN'S ALPHA INFORMATION RATIO R-SQUARED
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 .97. Year Fund Market Risk-Free 2015 −18.20 % −35.50 % 2 % 2016 25.10 20.60 5 2017 13.50 12.70 2 2018 6.80 8.40 6 2019 −1.86 −4.20 3 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.)
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 0.91. Year 2018 2019 2020 2021 2022 Fund -20.60% 25.10 13.90 7.60 -2.10 Market -39.50% 21.00 13.90 8.80 -5.20 Risk-Free 1% 3 2 4 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.
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As an equity analyst, you have developed the following return forecasts and risk estimates for two different stock mutual funds (Fund T and Fund U}: Forecasted Return CAPM Beta Fund T 9.00% 1.20 Fund U 10.00% 0.80 a. If the risk-free rate is 3.9 percent and the expected market risk premium (£(RM) -RFR} is 6.1 percent, calculate the expected return for each mutual fund according to the CAPM. b. Using the estimated expected returns from part (a) along with your own return forecasts, demonstrate whether Fund T and Fund U are currently priced to fall directly on the security market line (SML), above the SML, or below the SML. c. According to your analysis, are Funds T and U overvalued, undervalued, or properly valued?
You are given the following information concerning several mutual funds: Fund Return in Excess of the Treasury Bill Rate Beta A 12.4% 1.14 B 13.2% 1.22 C 11.4% 0.90 D 9.8% 0.76 E 12.6% 0.95 During the time period, the Standard & Poor's stock index exceeded the Treasury bill rate by 10.5 percent (i.e., r(m) - r(f) = 10.5%) a. Rank the performance of each fund without adjusting for risk and adjusting for risk using the Treynor index. Which, if any, outperformed the market? (Remember, the beta of the market is 1.0.) b. The analysis in part (a) assumes each fund is sufficiently diversified so that the appropriate measure of risk is the beta coefficient. Suppose,…
Consider the following information and then calculate the required rate of return for the Global Equity Fund, which includes 4 stocks in the portfolio. The market's required rate of return is 17.75%, the risk-free rate is 5.65%, and the Fund's assets are as follows:Round your answer to two decimal places. For example, if your answer is $345.6671 round as 345.67 and if your answer is .05718 or 5.7182% round as 5.72. Stock Investment Beta A $225,000 1.35 B $335,000 0.75 C $575,000 –0.45 D $1,055,000 1.98 A.21.28% B.18.26% C.18.08% D.19.96% E.18.83%
If you desire to forecast performance of a mutual fund for next year, the best forecast will be given by the a. geometric average return b. neither geometric average return nor arithmetic average return c. arithmetic average return d. both geometric average return and arithmetic average return You buy and hold a S&P 500 index fund. You always reinvest your dividends earned on the fund. Which method provides the best measure of the actual average historical performance of the investments you have chosen? a. both geometric average return and arithmetic average return b. neither geometric average return nor arithmetic average return c. arithmetic average return d. geometric average return
Consider the following information and then calculate the required rate of return for the Global Equity Fund, which includes 4 stocks in the portfolio. The market's required rate of return is 11.25%, the risk-free rate is 4.65%, and the Fund's assets are as follows: Stock Investment Beta A $175,000 1.35 B $365,000 0.85 C $545,000 –0.45 D $1,145,000 2.08
Suppose you manage an equity fund with the following securities. Use the following data to help build an active portfolio. Input Data Vogt Industries Isher Corporation Hedrock, Incorporated Alpha 0.012 0.006 0.016 Beta 0.277 1.015 1.630 Standard Deviation 0.156 0.168 0.181 Residual Standard Deviation 0.117 0.048 0.113 Information Ratio 0.1026 0.1250 0.1416 Alpha/Residual Variance 0.877 2.604 1.253 Market Data S&P 500 Treasury Bills Expected Raturn 12.00% 2.50% Standard Deviation 20.00% 0.00% Required: Using the information in the table above, please first calculate the initial weight of each stock in an active portfolio, using the Treynor Black approach. Then adjust each weight for beta. (Use cells A5 to D14 from the given information to complete this question.) Treynor-Black Model Vogt Industries Isher Corporation Hedrock, Incorporated…
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 rate of 8%. The probability distribution of the risky funds is as follows: Expected Return Standard Deviation Stock fund (S) 19% 34% Bond fund (B) 10 18 The correlation between the fund returns is 0.11. 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. Enter your answers as decimals rounded to 4 places.) portfolio invested in the stock portfolio invested in the bond expected return standard deviation
Mr. Abir, after joining in Classic Mutual Fund has been asked to compute the returns. Apart from this, he must have to highlight the other areas of the fund. Consider the following information about the returns on Classic Fund, the market returns, and the T-Bill returns. Year Returns on Classic Fund % Market Index (Nifty Returns) % T-Bills Returns % 2003 15.3 10.5 5.4 2004 14.2 16.5 6.1 2005 -5.0 -7.9 5.9 2006 21.2 18.0 6.2 2007 18.3 15.5 5.5 2008 12.5 10.7 5.4 2009 -9.5 -3.0 5.8 2010 -7.3 4.9 6.1 2011 8.5 -7.5 6.2 2012 -11.4 3.0 5.8 2013 25.2 20.5 5.7 2014 22.0 18.0 5.4 2015 -16.3 4.3 6.0 2016 14.7 12.0 6.2 2017 18.5 15.3 5.8 2018 20.2 18.0 6.0 From the above information calculate all the inputs required for determining the Sharpe’s Ratio Treynor Ratio Jensen Ratio

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