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Coefficient of Variation
A standardized measure of the risk per unit of return.
Coefficient of Variation = Standard deviation ()
Expected return (ř)
Coefficient of Variation
FLI (11.80%/ 14.55%) 81.10%
WEB (16.52%/22.00%) 75.10
Step by step
Solved in 2 steps
- 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 portfoliocalculate 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 0.000Calculate : 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
- 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 0.000coefficient variation=.55 positive coeficient of correlation =.20 expected value=$1200 What does standard deviation equal?calculate the following 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 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 portfolio
- What is the total variance of the following portfolio including 2 assets invested in the ratio of 3:1. Asset A: E(r) = 0.3 , s = 0.6 Asset B: E(r) = 0.4, s = 0.8 Correlation: 0.8 rf = 0.1 A) 1.14 B) 0.88 C) 0.38 D) 1.44What is the coefficient of variation (CV) of an asset with expected return 5% and standard deviation 1.5%? a. 0.3 b. 3.33 c. 7.5 d. 6.5The measures of risk include_ The measures of risk include Geometric Mean Arithmetic Mean Median Variance 000
- Use the following information to answer the question. Based on above data, determine the expected return? Select one: a. 12.06% b. 19% c. 17.35% d. 16.72%Dependent Variable: PORTFOLIO Method: Least Squares Sample: 1991M01 2009M12 Included observations: 228 Variable с MARKET SIZE VALUE MOMENTUM R-squared Adjusted R-squared S.E. of regression Sum squared resid Log likelihood F-statistic Prob(F-statistic) Coefficient Std. Error t-Statistic 0.003080 0.002256 1.364876 0.0037 0.580669 0.054438 10.66651 0.0000 0.752523 0.057275 13.13866 0.0000 0.054039 0.059387 0.909954 0.3638 0.056782 1.044482 0.2974 0.595842 0.032935 Mean dependent var S.D. dependent var Akaike info criterion Schwarz criterion Prob. 457.2243 Hannan-Quinn criter. 82.19105 Durbin-Watson stat 0.000000 0.007051 0.051348 -3.966880 -3.891675 -3.936537 1.693594 1) Is the model statically significant? Make sure to justify your answer. Write down the model equation (5 marks)Consider the following POPULATION of returns: 5%, -4%, -3%, and 12%. What is the standard deviation of this population of returns? O A. 0.42% O B. 0.56% OC. 6.50% O D. 7.51%