A portfolio manager summarizes the input from the macro and micro forecasters in the following table: Micro Forecasts Expected Residual Standard Return (%) Beta Deviation (%) Asset Stock A 24 1.5 57 Stock B 21 1.9 Stock C 18 0.8 Stock D 15 1.2 6625 59 55 Asset T-bills Macro Forecasts Expected Return (%) 9 17 Standard Deviation (%) 0 28 Passive equity portfolio Calculate the following for a portfolio manager who is not allowed to short sell securities. If allowed to short sell securities, the manager's Sharpe ratio is 0.3048. a. What is the cost of the restriction in terms of Sharpe's measure? (Do not round intermediate calculations. Enter your answer as decimals rounded to 4 places.) Cost of restriction
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- The following portfolios are being considered for investment. During the period under consideration, RFR =0.07 Porfolio Return Beta P 0.15 1.00 0.05 Q 0.20 1.50 0.1 R 0.10 0.60 0.03 S 0.17 1.10 0.06 Market 0.13 1.00 0.04 Compute the Sharpe measure for each portfolio and the market portfolio Compute the Treynor measure for each portfolio and the market portfolio Rank the portfolios using each measure explaining the cause for any differences you find in the rankings.A portfolio manager summarizes the input from the macro and micro forecasters in the following table: Micro Forecasts Asset Expected Return (%) Beta Residual Standard Deviation (%) Stock A 25 1.2 56 Stock B 19 1.6 70 Stock C 16 0.5 61 Stock D 13 1.0 53 Macro Forecasts Asset Expected Return (%) Standard Deviation (%) T-bills 7 0 Passive equity portfolio 15 21 Calculate the following for a portfolio manager who is not allowed to short sell securities. If allowed to short sell securities, the manager's Sharpe ratio is 0.4194.a. What is the cost of the restriction in terms of Sharpe’s measure? (Do not round intermediate calculations. Enter your answer as decimals rounded to 4 places.) Cost of restriction b. What is the utility loss to the investor (A = 2.7) given his new complete portfolio? (Do not round intermediate calculations.Round your answers to 2 decimal places.)…A portfolio manager summarizes the input from the macro and micro forecasters in the following table: Micro Forecasts Asset Expected Return (%) Beta Residual Standard Deviation (%) Stock A 27 0.8 59 Stock B 12 1.2 69 Stock C 11 0.5 62 Stock D 9 0.6 54 Macro Forecasts Asset Expected Return (%) Standard Deviation (%) T-bills 6 0 Passive equity portfolio 12 20 Calculate the following for a portfolio manager who is not allowed to short sell securities. If allowed to short sell securities, the manager's Sharpe ratio is 0.4085.a. What is the cost of the restriction in terms of Sharpe’s measure? (Do not round intermediate calculations. Enter your answer as decimals rounded to 4 places.) b. What is the utility loss to the investor (A = 3.0) given his new complete portfolio? (Do not round intermediate calculations. Round your answers to 2 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…The return, standard deviation, market risk premium and Beta (β) of A, B, C, D and the Market Portfolio and the risk-free interest rate are given in the table below. Find the performance of portfolios (excluding Sortino). portfolio return (rp) risk free interest rate (rf) std. deviation Beta market risk premium (rp- rf) A 18,00 11,00 6,00 1,24 7,00 B 12,00 11,00 2,00 0,87 1,00 C 9,00 11,00 0,50 - 0,73 - 2,00 D 15,00 11,00 3,00 0,46 4,00 Market 13,00 11,00 1,50 1 2,00Consider 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.
- Karen Kay, a portfolio manager at Collins Asset Management, is using thecapital asset pricing model (CAPM) for making recommendations to her clients.Her research department has developed the information shown in the followingexhibit.Forecast Returns, Standard Deviations, and BetasForecast Return Standard Deviation BetaLow β stock (X) 14.0% 36% 0.8High β stock (Y) 17.0% 25% 1.5Market index 14.0% 15% 1.0Risk-free rate 5.0%(a) Calculate expected return and alpha for each stock.(b) Identify and justify which stock would be more appropriate for an investorwho wants to add this stock to a well-diversified equity portfolio.(c) Now consider Karen employs the “Betting Against Beta” strategy and let, , and denote the portfolio weights of the investmentin each of the asset classes (e.g. risk-free asset, low beta stock, market index,high beta stock, respectively) such that .According to its investment mandate, Collins Asset Management shouldtarget a gross leverage of 2.3. How much does she have to…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 MarketThe following data are available to you as portfolio manager: Security Estimated return (%) Beta A 40 3.0 B 35 2.5 C 30 1.0 D 17.5 1.8 E 20.0 1.5 Market Index 25 2.0 Government Security 17 0 In terms of the security market line, which of the securities listed above are underpriced? Assuming that a portfolio is constructed using equal proportions of the five securities listed above, calculate the expected return and risk of such a portfolio
- Consider the following performance data for two portfolio managers (A and B) and a common benchmark portfolio: BENCHMARK MANAGER A MANAGER B Weight Return WEIGHT RETURN WEIGHT RETURN Stock 0.7 -4.7 0.7 -3.8 0.2 -4.7 % Bonds 0.2 -4.0 0.1 -2.2 0.6 -4.0 Cash 0.1 0.3 0.2 0.3 0.2 0.3 Calculate (1) the overall return to the benchmark portfolio, (2) the overall return to Manager A’s actual portfolio, and (3) the overall return to Manager B’s actual portfolio. Briefly comment on whether these managers have under- or outperformed the benchmark fund. Round your answers to two decimal places. Use a minus sign to enter negative values, if any. Overall return Benchmark % Manager A % Manager B % Using attribution analysis, calculate (1) the selection effect, and (2) the allocation effect for both Manager A and Manager B. Using these numbers in conjunction with your results from Part a, comment on whether these managers have added value…Table attached shows the historical returns for Companies A, B and C If one investor has a portfolio consisting of 70% Company A and 30% Company B, what are the average portfolio return and standard deviation? What is Sharpe ratio if the risk-free rate is 3.5%? 2. If another investor has a portfolio consisting of 1/3 Company A, 1/3 Company B and 1/3 Company C, what are the average portfolio return and standard deviation? What is Sharpe ratio if the risk-free rate is 3.5%?An analyst wants to evaluate Portfolio X, consisting entirely of U.S. common stocks, using both the Treynor and Sharpe measures of portfolio performance. The following table provides the average annual rate of return for Portfolio X, the market portfolio (as measured by the Standard and Poor’s 500 Index), and U.S. Treasury bills (T-bills) during the past eight years. Rate Annual Averageof Return STANDARD DEVIATION OF RETURN BETA Portfolio X 10 13 0.40 S&P 500 12 10 1.00 T-bills 7 n/a n/a n/a = not applicable Calculate both the Treynor measure and the Sharpe measure for both Portfolio X and the S&P 500. Round your answers for the Treynor measure to one decimal place and for the Sharpe measure to three decimal places. Treynor measure Sharpe measure Portfolio X 7.5 S&P 500 5