ill Smith is evaluating the performance of four large-cap equity portfolios: Funds A, B, C, and D. As part of his analysis, Smith computed the Sharpe ratio and the Treynor's measure for all four funds. Based on his finding, the ranks assigned to the four funds are as follows: Fund Treynor Measure Rank Sharpe Ratio Rank A 1 4 B 2 3 C 3 2 D 4 1 Required: The difference in rankings for Funds A and D is most likely due to: multiple choice a lack of diversification in Fund A as compared to Fund D. different benchmarks used to evaluate each fund’s performance. a difference in risk premiums.

ill Smith is evaluating the performance of four large-cap equity portfolios: Funds A, B, C, and D. As part of his analysis, Smith computed the Sharpe ratio and the Treynor's measure for all four funds. Based on his finding, the ranks assigned to the four funds are as follows: Fund Treynor Measure Rank Sharpe Ratio Rank A 1 4 B 2 3 C 3 2 D 4 1 Required: The difference in rankings for Funds A and D is most likely due to: multiple choice a lack of diversification in Fund A as compared to Fund D. different benchmarks used to evaluate each fund’s performance. a difference in risk premiums.

Intermediate Financial Management (MindTap Course List)

13th Edition

ISBN:9781337395083

Author:Eugene F. Brigham, Phillip R. Daves

Publisher:Eugene F. Brigham, Phillip R. Daves

Chapter2: Risk And Return: Part I

Section: Chapter Questions

Problem 7MC

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Fund	Treynor Measure Rank	Sharpe Ratio Rank
A	1	4
B	2	3
C	3	2
D	4	1

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Rank the following funds based on Sharpe Ratio, Treynor Ratio, Jensen’s Alpha, Sortino Ratio, M squared. Explain the difference in ranking of the funds if any as per various measures. Compare each of the fund with the benchmark index and explain the better or poor performance of the funds. The average return on the risk-free securities is 6% during the period of measurement. Mutual Fund Return (%) Total Standard Deviation (%) Downside Standard Deviation (%) Correlation with market Contra Fund 25 15 12 0.65 Equity Minimum Variance Fund 28 18 15 0.75 Focused Equity Fund 21 15 13 0.72 Midcap Fund 30 17 16 0.68 Benchmark Index 27 16 14
Review the table below listing performance metrics for selected assets. The metrics are defined in the same way as in CAPM. Compute the CAPM alpha for the four assets (data attached as image).
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 0.000
a. Using the data in the table below and calculate the following performance measures
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 portfolio
You want to evaluate three mutual funds using the Sharpe measure for performance evaluation. The risk-free return during the sample period is 4%. The average returns, standard deviations, and betas for the three funds are given below, as are the data for the S&P 500 Index. Average Return Standard Deviation Beta Fund A 18 % 38 % 1.6 Fund B 15 % 27 % 1.3 Fund C 11 % 24 % 1.0 S&P 500 10 % 22 % 1.0 The fund with the highest Sharpe measure is
A fund manager can invest in any combination of the three assets with the following expected returns and standard deviations: Asset 1: r1 = 2%, σ1 = 2% Asset 2: r2 = 6%, σ2 = 6% Asset 3: r3 = 4%, σ3 = 4% All three assets returns are uncorrelated: p12 = p13 =p 23 = 0 . Find a portfolio consisting of these three assets that achieves an expected return of 4% with the lowest risk possible. Show all steps.
The following data are available for two assets A and B: E(rA) = 13% E(rB) = 15% s(rA) = 22% s(rB) = 24% rA,B = 0 Let WA and WB denote the proportions of funds invested in assets A and B such that WA + WB=1. If portfolio has to be a minimum risk portfolio, find the weights.
Consider two portfolios, Portfolio A and Portfolio B, with the following performance metrics: - Portfolio A has a Sharpe Ratio of 0.8, a Treynor Ratio of 1.2, and a Jensen's Alpha of 0.5. - Portfolio B has a Sharpe Ratio of 1.2, a Treynor Ratio of 0.9, and a Jensen's Alpha of -0.2. Which of the following statements is correct regarding the performance of these portfolios? Portfolio A has a higher risk-adjusted return when the risk is measured by the beta. Portfolio B outperforms the risk-adjusted return suggested by CAPM. Portfolio A and B have similar risk-adjusted returns, but Portfolio B exhibits negative abnormal returns. Portfolio B has a higher risk-adjusted return when the risk is measured by the standard deviation. Portfolio A outperforms Portfolio B in terms of both risk-adjusted return and abnormal returns suggested by CAPM.
It measures how much rate of return the fund manager/fund generates per unit of systematic risk (beta)? a.PSE b.Jensen Index c.Treynor Index d. Sharpe Index
You wish to evaluate which of the two equity funds delivered a better risk adjusted return in terms of Sharpe ratio with the risk free rate currently at 1.58% UIT Fund Fund Return Standard Deviation Equity Fund A 8.60% 20.12% Equity Fund B 8.91% 18.12% Calculate the Sharpe ratios for both equity funds A and B and state which fund had superior risk-adjusted performance during this period, as measured by the Sharpe ratio