Concept explainers
Bill 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 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 |
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B |
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C |
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D |
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The difference in rankings for Funds A and D is most likely due to:
a. A lack of diversification in Fund A as compared to Fund D.b. Different benchmarks used to evaluate each fund's performance.c. A difference in risk premiums.
Use the following information to answer Problems 17 through 20: Prime Management CO. is looking at how best to evaluate the performance of its managers. Prime has been hearing more and more about benchmark portfolios and is interested in trying this approach. As such the company hired Sally Jones, CFA, as a consultant to educate the managers on the best methods for constructing a benchmark portfolio, how to choose the best benchmark, whether the style of the fund under management matters, and what they should do with their global funds in terms of benchmarking.
For the sake of discussion, Jones put together some comparative two-year performance numbers that relate to Primo’s current domestic funds under management and a potential benchmark.
Weight | Return | |||
Style Category | Prime | Benchmark | Prime | Benchmark |
Large-cap growth |
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Mid-cap growth |
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Small-cap growth |
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AS part of her analysis, Jones also takes a look at one of Primo’s global funds. In this particular portfolio, Prime is invested
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Chapter 18 Solutions
Connect 1-Semester Access Card for Essentials of Investments
- 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 0.000arrow_forwardYou 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 ratioarrow_forwardA 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.arrow_forward
- 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.arrow_forwardIt 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 Indexarrow_forwardUse the following data to answer the question regarding the performance of Guardian Stock Fund and the market portfolio. The risk-free return during the sample period was 4%. Guardian Market Portfolio Average return 14 % 10 % Standard deviation of returns 27 % 21 % Beta 1.5 1 Residual standard deviation 4 % 0 % Calculate the information ratio measure of performance for Guardian Stock Fund. (Round your answer to 2 decimal places. Do not round intermediate calculations.)arrow_forward
- You want to evaluate two mutual funds using the information ratio measure for performance evaluation. The risk-free return during the sample period is 5.00%, and the average return on the market portfolio is 18.00%. The average returns, residual standard deviations, and betas for the three funds are given below. Average Return Fund A 18% Fund B 21% Residual Standard Deviation 4.00% 27% 1.25% 27% Standard Deviation What is Fund A's Sharpe Ratio? [Select] Beta 0.75 1.00 What is Fund A's Information Ratio? [Select]arrow_forwardConsider 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.arrow_forwardFund 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 Stocks 0.5 Bonds 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? 0.4 Return from F O a. -0.005, -0.008 O b. 0.003; 0.004 O c. 0.012, 0.008 O d. 0.008; 0.012 10% Return from B 3% 8% 5%arrow_forward
- You have just been appointed as a fund manager for Gate Way Fund, of which you will be responsible of a portfolio that consists of two assets. The analysts have provided you with the expected returns and standard deviations of returns of which are listed in the table below: Asset A Asset B Expected Return 7% 11% Standard Deviation 15% 21% Calculate the expected return of the portfolio if half is invested in asset A. If the covariance of the two assets is 28, calculate the correlation coefficient of the portfolio. Calculate the variance of the portfolio if the investments in the two assets classes is equal. Calculate the standard deviation of the portfolio if the assets are equally weighted. The two asset portfolio model can be extended to a portfolio with more assets. Explain the implications of this approach for the understanding of portfolio risk and discuss the practical problems of applying the model in this fashion.arrow_forwardFill 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 & Darrow_forwardUse the following data to answer the question regarding the performance of Guardian Stock Fund and the market portfolio. The risk- free return during the sample period was 5%. Average return Standard deviation of returns Beta Residual standard deviation Guardian 14% 26% Information ratio 1.2 4% Market Portfolio 10% 21% 1 0% Calculate the information ratio measure of performance for Guardian Stock Fund. (Round your answer to 2 decimal places. Do not round intermediate calculations.)arrow_forward
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