Suppose you are the money manager of the following portfolio. The fund consists of four stocks with the following investments and betas: Stock Investment Beta A $ 460,000 1.50 B 500,000 (0.50) 1,260,000 1.25 2,600,000 0.75 What is the portfolio's Beta Coefficient? (4 decimal places) Beta Coefficient = If the market's required rate of return is 8% and the risk-free rate is 4%, what is the fund's required rate of return? (2 decimal places) Required Rate of Return =
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- Assume that you are the portfolio manager of the SF Fund, a $3 million hedge fund that contains the following stocks. The required rate of return on the market is 11.00% and the risk-free rate is 2.00%. What rate of return should investors expect (and require) on this fund? A. 11.25% B. 10.57% C. 10.80% D. 10.69% E.10.35%Suppose that a fund that tracks the S&P 500 has mean E [Rm] = 16% and standard deviation σM = 10%, and suppose that the T-Bill rate is Rf = 8%. Answer the following questions about efficient portfolios:(a) What is the expected return and standard deviation of a portfolio that is totally invested in the risk-free asset?(b) What is the expected return and standard deviation of a portfolio that has 50% of its wealth in the risk-free asset and 50% in the S&P 500?(c) What is the expected return and standard deviation of a portfolio that has 125% of its wealth in the S&P 500, financed by borrowing 25% of its wealth at the risk-free rate?(d) What are the weights for investing in the risk-free asset and the S&P 500 that produce a standard deviation for the entire portfolio that is twice the standard deviation of the S&P 500? What is the expected return on that portfolio?Suppose you are the money manager of a P4.0 investment portfolio consists of stocks with the following investment and betas: Stock Beta S 1.5 T (0.50) A 1.25 R 0.75 If the market required return is 14% and the risk free rate is 6%,a) What is the portfolio beta?b) What is the portfolio required rate of return?
- CAPM 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): Fund T Fund U Forecasted Return CAPM Beta 1.20 0.80 9.0% 10.0 a. If the risk-free rate is 3.9 percent and the expected market risk premium (E(RM)-RFR) is 6.1 percent, calculate the required return for each mutual fund according to the CAPM. b. Using the estimated required of returns from part (a) along with your 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?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 (ie., 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?. a. A mutual fund with beta of .8 has an expected rate of return of 14%. If rf = 5%, and you expect the rate of return on the market portfolio to be 15%, should you invest in this fund? What is the fund’s alpha?b. What passive portfolio comprised of a market-index portfolio and a money market account would have the same beta as the fund? Show that the difference between the expected rate of return on this passive portfolio and that of the fund equals the alpha from part (a).
- The following portfolios are being considered for investment. During the period under consideration, RFR = 0.08. Portfolio Return Beta σi P 0.14 1.00 0.05 Q 0.20 1.30 0.11 R 0.10 0.60 0.03 S 0.17 1.20 0.06 Market 0.12 1.00 0.04 Compute the Sharpe measure for each portfolio and the market portfolio. Round your answers to three decimal places. Portfolio Sharpe measure P Q R S Market Compute the Treynor measure for each portfolio and the market portfolio. Round your answers to three decimal places. Portfolio Treynor measure P Q R S MarketAs 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?Assume that you are the portfolio manager of the SF Fund, a $3 million hedge fund that contains the following stocks. The required rate of return on the market is 11.00% and the risk-free rate is 5.00%. What rate of return should investors expect (and require) on this fund? (Hint: first calculate the weights, then calculate the beta of the portfolio and then calculate the required return of the portfolio.) Show your work. Stock Amount Weights Beta A $1,075,000 ? 1.20 B 675,000 ? 0.50 C 750,000 ? 1.40 D 500,000 ? 0.75 $3,000,000
- 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.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): Fund T Fund U Forecasted Return 9.0% 10.0 CAPM Beta 1.20 0.80 a) If the risk-free rate is 3.9 % and the expected market risk premium is 6.1%, 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, explain 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. Are Funds T and U overvalued, undervalued, or properly valued?Suppose you form a portfolio consisting of $31,000 invested in a mutual fund with beta of 1.6, $18,000 invested in Treasury securities $19,000 invested in an index fund with the same beta as the entire market. Expected market risk premium is 6.3%. Risk-free rate is 0.8% What is the exped return of this portfolio according to the CAPM? O a. 6.9% Ob. 6.6% O c. 7.2% d. 9.1% e. 5.8%