If your maximum Sharpe ratio increased from 0.333 to 0.444 when adding a positive-alpha (open-ended) mutual fund to your portfolio, and the fund's idiosyncratic volatility was 15%, what was the fund's alpha? (report your answer rounded to the nearest 3 decimals -- eg., 0.8765 % --> 0.877, 0.8763 --> 0.876)
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fund's alpha? (report your answer rounded to the nearest 3 decimals -- eg., 0.8765 % --> 0.877, 0.8763 --> 0.876)"
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- Consider the following information for 3 mutual fund P, Q, R and the market.Mutual fund Mean Return Risk BetaP 25% 1.785 1.10Q 16% 0.962 1.29R 19% 1.322 1.55Market 16% 1.00The risk free rate was 12%. Calculate the Treynor, Sharpe & Jenson Measure andrank the same.You manage a risky portfolio with an expected rate of return of 17% and a standard deviation of 28%. The T-bill rate is 7%. Your client's degree of risk aversion is A = 2.0, assuming a utility function u E(r) = A0². a. What proportion, y, of the total investment should be invested in your fund? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Investment proportion y Expected return Standard deviation - % b. What are the expected value and standard deviation of the rate of return on your client's optimized portfolio? (Do not round intermediate calculations. Round your answers to 2 decimal places.) % %Two investments, X and Y, have the characteristics shown below. E(X) = $70, E(Y)3D$120, o =7,000, a = 14,000, and ory =7,500 If the weight of portfolio assets assigned to investment X is 0.3, compute the a. portfolio expected return and b. portfolio risk. a. If the weight of portfolio assets assigned to investment X is 0.3, the portfolio expected retum is $ (Type an integer or a decimal.) b. If the weight of portfolio assets assigned to investment X is 0.3, the portfolio risk is approximately $. (Round to two decimal places as needed.)
- You manage a risky portfolio with an expected rate of return of 17% and a standard deviation of 36%. The T-bill rate is 6%. Your client's degree of risk aversion is A = 3.1, assuming a utility function u = E(r) A02. a. What proportion, y, of the total investment should be invested in your fund? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Investment proportion y % b. What are the expected value and standard deviation of the rate of return on your client's optimized portfolio? (Do not round intermediate calculations. Round your answers to 2 decimal places.) Expected return % Standard deviation %You manage a risky portfolio with an expected rate of return of 19% and a standard deviation of 32%. The T-bill rate is 7%. Your client’s degree of risk aversion is A = 3.3, assuming a utility function U = E(r) - ½Aσ². a. What proportion, y, of the total investment should be invested in your fund? (Do not round intermediate calculations. Round your answer to 2 decimal places.) b. What is the expected value and standard deviation of the rate of return on your client’s optimized portfolio? (Do not round intermediate calculations. Round your answers to 2 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. 1TTT Fund Risk-Free Market Year 2011 -20.6% -39.5% 2012 25.1 21.0 3 2013 13.9 13.9 2 2014 7.6 8.8 2015 -2.1 -5.2 2 What are the Sharpe and Treynor ratios for the fund? (Do not round intermediate calculations. Round your answers to 4 decimal places.) Sharpe ratio Treynor ratio
- 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 2011 2012 2013 2014 2015 Fund -15.2% 25.1 12.4 6.2 -1.2 Sharpe ratio Market -24.5% 19.5 9.4 7.6 -2.2 What are the Sharpe and Treynor ratios for the fund? (Do not round intermediate calculations. Round your answers to 4 decimal places.) Treynor ratio X Answer is complete but not entirely correct. Risk-Free 1% 3 2 4 2 0.2273 x 3.4773 X. 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).You have estimated the single index model (SIM) fund B and found that its alpha and beta are 0.035 and 1.1 respectively. The standard deviation of Fund B's excess returns is 30% and the market portfolio excess returns have a standard deviation of 20%. What's the information ratio of Fund B?
- Use the following data to answer the question regarding the performance of Guardian Stock Fund and the market portfolio. The risk- free return during the sample period was 5%. Average return Standard deviation of returns Beta Residual standard deviation Guardian 14% 26% 1.2 (0.80) 4% X Answer is complete but not entirely correct. Information ratio Market Portfolio Calculate the information ratio measure of performance for Guardian Stock Fund. (Round your answer to 2 decimal places. Do not round intermediate calculations.) 10% 21% 1 0%Consider a stock fund and a bond fund with the following characteristics and a correlation of 0.2. A T-Bill money market fund yields 8%. You are allowed to use all three funds to form an optimal portfolio. E ( R ) Sigma Stock Fund (S) 20% 30% Bond Fund (B) 12% 10% What would be the portfolio P that consists of the stock fund and the bond fund and that has the highest Sharpe ratio What are the expected return and risk of the optimal risky portfolio P What is the Sharpe ratio of the best feasible capital allocation line (CAL)? Consider an investor with a risk aversion parameter A=10. What is her optimal allocation to the risky portfolio, PConsider 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%
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