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You want to allocate your money between the risk free asset (0.015), a fixed income fund ( E(B)=0.079, Volatility(B)=0.11), and a diversified stock fund ( E(S)=0.116, Volatility(S)=0.18). The correlation between the two risky funds is 0.57. When creating the optimal risky portfolio, how much weight in decimals should you invest in the diversified stock fund?
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- Suppose that the return for a particular large-cap stock fund is normally distributed with a mean of 14.4% and standard deviation of 4.4%. a. What is the probability that the large-cap stock fund has a return of at least 20%? b. What is the probability that the large-cap stock fund has a return of 10% or less?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?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 8%. The characteristics of the risky funds are as follows: Expected Return Standard Deviation Stock fund (5) 19 % 34% Bond fund (8) 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.
- Assume that when investing in the risky portfolio, the investor must choose between just two risky assets: an equity fund and a corporate bond fund. The equity fund has an expected return of 35% and a standard deviation of 28%. The corporate bond fund has an expected return of 15% and a standard deviation of 15%. The equity fund and the corporate bond fund returns have a correlation of 0.30. The treasury bill rate is 6%. Suppose that the investor invests 61.31% of his allocation to the risky portfolio in the equity fund, and therefore 38.69% to the corporate bond fund. Assume that theses weights correspond to those of the optimal risky portfolio". Assume that the investor's risk aversion coefficient (A) equals 7.00. What is the composition of, expected return and standard deviation of the optimal risky portfolio?. 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).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%
- 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 9%. The characteristics of the risky funds are as follows: Expected Return Standard Deviation Stock fund (S) 17 % 30 % Bond fund (B) 11 22 The correlation between the fund returns is 0.10. 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.)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?As an individual investor, you have three funds to invest into. The first is an equity fund, the second is a corporate bond fund, and the third is a T-bill money-market fund (your risk-free asset). Fund Expected rate of return Risk (Standard deviation) Equity fund 16% 32% Corporate bond fund 12% 18% T-bill money market fund 2% Correlation between equity fund and bond fund returns is 0.4. Find the Expected return of the minimum variance portfolio formed from Equity and Bond funds
- 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 19% 34% Bond Fund 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.) Protifolio invested in stock Protifolio invested in bond expected return standard deviationAn investor can design a risky portfolio based on two funds, HighYieldBond and SmallCapStock. Fund HighYieldBond has an expected return of 20% and a standard deviation of return of 34%. Fund SmallCapStock has an expected return of 25% and a standard deviation of return of 38%. The correlation coefficient between the returns on HighYieldBond and SmallCapStock is 0.31. If an investor puts 0.45 into fund HighYieldBond, what is the standard deviation of the return on this portfolio?As a fund manager in Bull & Bear Securities, you are given the following information regarding your portfolio. Rate of Return if State Occurs {:[" State of "],[" Economy "]:} {:[" Probability of "],[" State of Economy "]:} Stock A Stock B Stock C Boom .72 .06 .11 .17 Bust .28 .19 -.04 .23 Based on the above information, compute the following: i) The expected return in boom economy for all the three stocks. ii) The expected return in bust economy for all the three stocks. iii) The expected return for the portfolio that invest 30 percent each in A and B and 40 percent in C. iv) The standard
