Consider the information on the market, the risk-free asset, and a mutual fund. You want to build a two-asset portfolio comprising the market portfolio and the risk-free asset such that your portfolio beta is the same as the mutual fund. What is the portfolio weight on the market in your portfolio? Mutual Fund Market Risk Free E(k) 11.1% 8.5% 2.0% Beta 1.4 1 0
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- 1. There are two mutual funds, A and B with the following information, R₁ 0.08 0.03 0.07 I 0.09 Security The Market The Riskfree Bond Pim (i) (iv) (vi) (viii) where σ; is the standard deviation, and pim is the correlation with the market portfolio. Assume that the CAPM holds, with fund A being efficient. (a) What are the answers to (i)-(v) above without doing any computation? (b) From given information, compute (vi) and (vii) in the table above. (c) If you are using the CAPM as a benchmark, which fund should you buy? [hint: what is the return implied by the CAPM] O 0.20 (iii) 0.12 0.30 Mutual Fund A Mutual Fund B (ii) (v) (vii) 1.2Write out the equation for the Capital Market Line (CML), and draw it on the graph. Interpret the plotted CML. Now add a set of indifference curves and illustrate how an investors optimal portfolio is some combination of the risky portfolio and the risk-free asset. What is the composition of the risky portfolio?1. calculate the beta of the portfolio below consisting of assets x, y and z. discuss the meaning of the number calculated and include in your answer what type of investor is likely to invest in this portfolio. Asset Weight (Wi) Beta (βi) X 0.30 0.09 Y 0.50 0.90 Z 0.20 0.16
- 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 -23.0% 25.1 14.3 6.8 -2.34 Market -43.5% 21.4 15.1 8.8 -5.2 Risk-Free 3% 5 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. Answer is complete but not entirely correct. Sharpe ratio Treynor ratio 0.2589 0.3216You 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.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 Sharpe ratio Treynor ratio Market Risk-Free 1% 3 2 4 2 -24.5% 19.5 9.4 7.6 -2.2 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 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.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…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
- Question 2 i) Given a simple world with two assets, a bond fund and a stock fund, clearly detail the steps involved in arriving at the 1) efficient frontier, and 2) market (optimal) portfolio. ii) What is the significance of the Capital Market Line? To be more specific, what relationship does this line depict? Give a brief discussion on its application. iii) One important assumption behind portfolio theory is that investors are "meanvariance maximizers." What is the meaning of this? Explain why this assumption is important in the delineation of the efficient frontier. Question 3 Generally speaking, the cost of debt is cheaper than the cost of equity. Does it imply that a firm should increase its debt-to-equity ratio to as high as possible such that its corporate cost of capital can be minimized?QUESTION Given a simple world with two assets, a bond fund and a stock fund, clearly detail the steps involved in arriving at the 1) efficient frontier, and 2) market (optimal) portfolio. What is the significance of the Capital Market Line? To be more specific, what relationship does this line depict? Give a brief discussion on its application. One important assumption behind portfolio theory is that investors are “mean-variance maximizers.” What is the meaning of this? Explain why this assumption is important in the delineation of the efficient frontier.Problem 3 )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 If the risk-free rate (RFR) is 3.9% and the expected market risk premium (i.e., E(Ra) – RFR) is 6.1%, calculate the expected return for each mutual fund according to the 3.а. САРМ. 3.b. Decide which fund is overvalued, undervalued or properly valued and explain why?