F G H Monthly Monthly Еxcess Excess return for Market Stock 1 Returns 0.09 0.03 -0.07 0.01 0.02 0.02 Average excess return Standard deviation 0.01 0.02 0.08 0.01 Beta Covariance
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- Market Data Return Standard Deviation Beta Market Data 0.120 0.200 1.000 Risk-Free Rate 0.025 0.000 0.000 Company Data A B C Alpha 0.015 0.020 -0.005 Beta 1.200 0.800 1.250 Residual standard deviation, σ(e) 0.105 0.195 0.067 Standard Deviation of Excess Return 0.245 0.235 0.210 Required: Using the data above, please solve for the Sharpe Ratio, Treynor's Measure, and Information Ratio. (Use cells A3 to D10 from the given information to complete this question. Negative answers should be input and displayed as a negative values. All other answers should be input and displayed as positive values.) Risk-Adjusted Performance Measures A B C Market Sharpe Ratio Treynor's Measure Information RatioAccessibility tab summary: Given information for this question is presented in rows 2 through 10. Requirement information is presented in rows 12 through 20. Market Data Return Standard Deviation Beta Market Data 0.120 0.200 1.000 Risk-Free Rate 0.025 0.000 0.000 Company Data A B C Alpha 0.015 0.020 -0.005 Beta 1.200 0.800 1.250 Residual standard deviation, σ(e) 0.105 0.195 0.067 Standard Deviation of Excess Return 0.245 0.235 0.210 Required: Using the data above, please solve for the Sharpe Ratio, Treynor's Measure, and Information Ratio. (Use cells A3 to D10 from the given information to complete this question. Negative answers should be input and displayed as a negative values. All other answers should be input and displayed as positive values.) Risk-Adjusted Performance Measures A B C Market Sharpe Ratio Treynor's…Market Data Return Standard Deviation Beta Market Data 0.120 0.200 1.000 Risk-Free Rate 0.025 0.000 0.000 Company Data A B C Alpha 0.015 0.020 -0.005 Beta 1.200 0.800 1.250 Residual standard deviation, σ(e) 0.105 0.195 0.067 Standard Deviation of Excess Return 0.245 0.235 0.210 Required: Using the data above, please solve for the Sharpe Ratio, Treynor's Measure, and Information Ratio.
- Calculate: Information Ratio (appraisal ratio) Fund Average return Standard Deviation Beta coefficient Unsystematic Risk A 0.240 0.220 0.800 0.017 B 0.200 0.170 0.900 0.450 C 0.290 0.380 1.200 0.074 D 0.260 0.290 1.100 0.026 E 0.180 0.400 0.900 0.121 F 0.320 0.460 1.100 0.153 G 0.250 0.190 0.700 0.120 Market 0.220 0.180 1.000 0.000 Risk free return 0.050 0.000Find out the 1- standard deviation 2- variance weight Investment*expected return stock weight Investment Investment Amount expected return stock stocks 0.261 1.45 75000 0.18 Alba Co. 0.0504 0.56 75000 0.09 Batelco Co. 0.0371 0.1 75000 0.371 Delmon poultry. 0.3485 225000 TotalCalculate : M-squared measureT-squared measure, andAppraisal ratio (information ratio) Fund Average return Standard Deviation Beta coefficient Unsystematic Risk A 0.240 0.220 0.800 0.017 B 0.200 0.170 0.900 0.450 C 0.290 0.380 1.200 0.074 D 0.260 0.290 1.100 0.026 E 0.180 0.400 0.900 0.121 F 0.320 0.460 1.100 0.153 G 0.250 0.190 0.700 0.120 Market 0.220 0.180 1.000 0.000 Risk free return 0.050 0.000
- a. Using the data in the table below alculate the following performance measures.i. Sharpe ratioii. Treynor measureiii. Jensen’s alphaiv. M-squared measurev. T-squared measure, andvi. Appraisal ratio (information ratio) Fund Average return Standard Deviation Beta coefficient Unsystematic Risk A 0.240 0.220 0.800 0.017 B 0.200 0.170 0.900 0.450 C 0.290 0.380 1.200 0.074 D 0.260 0.290 1.100 0.026 E 0.180 0.400 0.900 0.121 F 0.320 0.460 1.100 0.153 G 0.250 0.190 0.700 0.120 Market 0.220 0.180 1.000 0.000 Risk free return 0.050 0.000 b. Out of the performance measures you calculated in part a., which one would you use undereach of the following circumstances:i. You want to select one of the funds as your risky portfolio.ii. You want to select one of the funds to be mixed with the rest of your portfolio,currently composed solely of holdings in the market-index fund.iii. You want to select one of the funds to form an actively managed stock portfolioStock i’s standard deviation35.00%Market’s standard deviation32.00%Correlation between Stock i and the market0.65Beta coefficient of Stock i:T-Bills Philips Pay-up Rubber-Made Market Index Mean 7.00% 16.90% 2.07% 19.60% 15.00% Variance 0.00% 5.50% 2.40% 3.60% 3.10% Standard deviation 0.00% 23.40% 15.60% 18.90% 17.70% coefficient of variation 0 0.32 1.18 0.18 0.21 Covariance with MP 0 0.04 -0.03 0.02 0.03 Beta 0 1.32 -0.88 0.74 1 CAPM return 7.00% 17.54% -0.02% 12.89% 15.00% Correleation with market index 0.9953 -0.9953 0.6894 1 Mean 7.00% 16.90% 2.07% 19.60% 15.00% Valuation Overvalued (CAPM Above Benchmark) Undervalued (CAPM Below Benchmark) Undervalued ( CAPM Below Benchmark) Fairly priced (Benchmark) Nature of stock Aggressive (Beta is above 1) Defensive (Beta is below 1) Defensive (Beta is above 1) Defensive (Beta is 1) 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 does it show? Identify undervalued/overvalued investments from the graph
- calculate the following Sharpe Ratio (SP) Treynor Measure Jensen Measure M2 measure T2 measure Information Ratio (appraisal ratio) Fund Average return Standard Deviation Beta coefficient Unsystematic Risk A 0.240 0.220 0.800 0.017 B 0.200 0.170 0.900 0.450 C 0.290 0.380 1.200 0.074 D 0.260 0.290 1.100 0.026 E 0.180 0.400 0.900 0.121 F 0.320 0.460 1.100 0.153 G 0.250 0.190 0.700 0.120 Market 0.220 0.180 1.000 0.000 Risk free return 0.050 0.000EXAMPLE• Consider the following information:State Probability ABC, Inc. ReturnBoom .25 0.15Normal .50 0.08Slowdown .15 0.04Recession .10 -0.03• What is the expected return?• What is the variance?• What is the standard deviation?Calculate : M2 measure T2 measure Information Ratio (appraisal ratio) Fund Average return Standard Deviation Beta coefficient Unsystematic Risk A 0.240 0.220 0.800 0.017 B 0.200 0.170 0.900 0.450 C 0.290 0.380 1.200 0.074 D 0.260 0.290 1.100 0.026 E 0.180 0.400 0.900 0.121 F 0.320 0.460 1.100 0.153 G 0.250 0.190 0.700 0.120 Market 0.220 0.180 1.000 0.000 Risk free return 0.050 0.000