Fund F has been investing in stocks and bonds. You are evaluating the performance of Fund F by comparing its performance with the performance of an appropriate benchmark portfolio B. The performance and weights of F and B over the last year are given in the table below: Asset Class Weight in F Weight in B 0.6 Return from F O a. -0.005, -0.008 O b. 0.003; 0.004 O c. 0.012, 0.008 d. 0.008; 0.012 Stocks 0.5 Bonds 0.4 0.5 Attribute the performance of Fund F against benchmark portfolio B in the stock class. What is the attribution due to the asset allocation in the stock class? What is the attribution due to the security selection in the stock class? 10% Return from B 3% 8% 5%
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- 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…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 standardIf 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
- Darren is considering the following investments; Alphabet, PayZero and FNQ Res.: Probability of return (%) Likely Return Alphabet (%) Likely Return PayZero (%) Likely Return FNQ Res. (%) 20 6 4 9 30 9 7 14 40 16 10 19 10 18 14 26 a) Calculate the expected return for each asset.b) Calculate the expected return on a portfolio comprising each asset weighted as follows Asset Weighting (%) Weighting (%) Alphabet 20 PayZero 55 FNQ Res. 25 c) Explain to Darren the benefit of combining the assets into a portfolio instead of undertaking individual investments in Alphabet, PayZero and FNQ Res. d) Calculate the risk attached to each of the investments proposed in Alphabet, PayZero and FNQ Res. Rank each investment in regard to its risk and return. Discuss the likely range of returns that could eventuate for each asset with a 95% level of accuracy. ONLY ANSWER PART C AND D PLEASEDarren is considering the following investments; Alphabet, PayZero and FNQ Res.: Probability of return (%) Likely Return Alphabet (%) Likely Return PayZero (%) Likely Return FNQ Res. (%) 20 6 4 9 30 9 7 14 40 16 10 19 10 18 14 26 a) Calculate the expected return for each asset. b) Calculate the expected return on a portfolio comprising each asset weighted as follows Asset Weighting (%) Weighting (%) Alphabet 20 PayZero 55 FNQ Res. 25 c) Explain to Darren the benefit of combining the assets into a portfolio instead of undertaking individual investments in Alphabet, PayZero and FNQ Res. d) Calculate the risk attached to each of the investments proposed in Alphabet, PayZero and FNQ Res. Rank each investment in regard to its risk and return. Discuss the likely range of returns that could eventuate for each asset with a 95% level of accuracy.Fill the parts in the above table that are shaded in yellow. You will notice that there are nineline items. Using the data generated in the previous question (Question 1);a) Plot the Security Market Line (SML) b) Superimpose the CAPM’s required return on the SML c) Indicate which investments will plot on, above and below the SML?d) If an investment’s expected return (mean return) does not plot on the SML, what doesit show? Identify undervalued/overvalued investments from the graph Please answer A, B, C & D
- Suppose you manage an equity fund with the following securities. Use the following data to calculate the information ratio of each stock. 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 Required: Using the information in the table above, please calculate the information ratio for each stock. (Use cells A5 to D8 from the given information to complete this question.) Vogt Industries Isher Corporation Hedrock, Incorporated Information RatioConsider the following performance data for a portfolio manager: Benchmark Portfolio Index Portfolio Weight Weight Return Return Stocks 0.65 0.7 0.11 0.12 Bonds 0.3 0.25 0.07 0.08 Cash 0.05 0.05 0.03 0.025 a.Calculate the percentage return that can be attributed to the asset allocation decision. b.Calculate the percentage return that can be attributed to the security selection decision.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
- (Capital asset pricing model) Grace Corporation is considering the following investments. The current rate on Treasury bills is 2.5 percent and the expected return for the market is 9 percent. Stock Beta K 1.06 G 1.28 B 0.78 U 0.93 (Click on the icon in order to copy its contents into a spreadsheet.) a. Using the CAPM, what rates of return should Grace require for each individual security? b. How would your evaluation of the expected rates of return for Grace change if the risk-free rate were to rise to 4 percent and the market risk premium were to be only 6 percent? c. Which market risk premium scenario (from part a or b) best fits a recessionary environment? A period of economic expansion? Explain your response. Question content area bottom Part 1 a. The expected rate of return for security K, which has a beta of 1.06, is enter your response here%. (Round to two decimal places.) Part 2 The expected rate…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. 1ITT Market Risk-Free Year Fund 2011 -21.8% -41.5% 3% 2012 25.1 21.2 4 14.1 2013 14.5 8.8 2014 6.4 4 -2.22 2015 -5.2 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 ratioYou plan to invest in either a mutual fund X or mutual fund Y. The following information about the annual return (%) of each of these investments under different demand levels is available, along with the probability that each of these states of nature will OCcur: Demand Probability Fund X Fund Y High 0.4 30% 25% Medium 0.4 22% 34% low 0.2 17% 25% a) Compute expected return, standard deviation for each investment and covariance of the mutual fund X and mutual fund Y. b) Would you invest in the mutual fund X or Y? Explain. c) If you chose to invest in mutual fund X and the state of nature turns up to be the low demand, what do you think about the possibility of the opportunity loss of 8% in comparison to investing in mutual fund Y?