Which of the following statements about the evaluation of portfolio performance is FALSE?
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Answer and Explanation
The SML is a passive strategy in that the investor invests in a combination of the market portfolio and the risk free asset. Jensens Alpha measures the value added return due to active management.
The SML is a passive strategy in that the investor invests in a combination of the market portfolio and the risk free asset. Jensens Alpha measures the value added return due to active management.
Of the Sharpe, Treynor, and Jensens Alpha measures, when measuring the risk/return performance of actively managed portfolios, which is the most appropriate to use?
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Jensens Alpha measures the value added of an active portfolio strategy.
Jensens Alpha measures the value added of an active portfolio strategy.
Of the Sharpe, Treynor, and Jensens Alpha measures, when dealing with a sector fund which will be added to the investors overall larger portfolio, which is the most relevant measurement technique to assess relative risk/return performance?
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The Treynor measure calculates excess return relative to systematic risk and should be used to evaluate portfolios that will be an addition to an overall larger portfolio. Sharpe ratio, which uses standard deviation as the risk measure, should be used to evaluate portfolios that will comprise the majority of the investors overall asset base.
The Sharpe ratio, Treynor measure, the M2 measure and Jensens Alpha techniques all measure the risk/return performance of portfolios. Which of the following statements about these measurement techniques is least accurate?
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Although it is true that the Sharpe ratio measures the slope of the CAL, the higher the slope the more desirable the portfolio. Your goal is to select the portfolio that has the highest Sharpe measure, which will also have the steepest slope. At any given risk level, the higher the slope the greater the return.
Although it is true that the Sharpe ratio measures the slope of the CAL, the higher the slope the more desirable the portfolio. Your goal is to select the portfolio that has the highest Sharpe measure, which will also have the steepest slope. At any given risk level, the higher the slope the greater the return.
Which of the following measures used to evaluate the performance of a portfolio manager is/are NOT subject to the assumptions of the capital asset pricing model (CAPM)?
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Both the Treynor measure and the Jensen's alpha assume that the CAPM is the underlying risk-adjustment model. The Sharpe measure on the other hand does not make this assumption. It uses total risk of a portfolio, unlike the Treynor measure and Jensen's alpha, which use the systematic (undiversifiable) risk as measured by beta to compute the risk-adjusted return of a portfolio.
Which of the following risk measures is NOT dependent on capital asset pricing model (CAPM)?
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The Sharpe measure uses standard deviation as its risk measure. The others use beta.
An analyst has gathered the following information about the performance of an equity fund and the S& 500 index over the same time period.
An analyst has gathered the following information about the performance of an equity fund and the S& 500 index over the same time period.
Equity Fund S& 500
Return 21% 24%
Standard Deviation 19% 17%
Beta 1.05 1.00
Risk-free rate is 4.50%
The Sharpe ratio for the equity fund is:
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(0.21 0.045)/0.19 = 0.87.
(0.21 0.045)/0.19 = 0.87.
An analyst has gathered the following information about the performance of an equity fund and the S& 500 index over the same time period.
Equity Fund S& 500
Return 13% 10.5%
Standard Deviation 22% 20%
Beta 1.21 1.00
Risk-free rate is 5.25%
The Treynor measure for the equity fund is:
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(0.13 0.0525)/1.21 = 0.064.
(0.13 0.0525)/1.21 = 0.064.
An analyst has gathered the following information about the performance of an equity fund and the S& 500 index over the same time period.
An analyst has gathered the following information about the performance of an equity fund and the S& 500 index over the same time period.
Equity Fund S& 500
Return 27% 29%
Standard Deviation 33% 20%
Beta 0.95 1.00
Risk-free rate is 4.00%
The Treynor measure and the Sharpe ratio, in that order, for the S& 500 are:
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Treynor measure: (0.29 0.04)/1.00 = 0.25 Sharpe ratio: (0.29 0.04)/0.20 = 1.25 Sharpe ratio: (0.29 0.04)/0.20 = 1.25
Treynor measure: (0.29 0.04)/1.00 = 0.25 Sharpe ratio: (0.29 0.04)/0.20 = 1.25
Sharpe ratio: (0.29 0.04)/0.20 = 1.25
An analyst has gathered the following information about the performance of an equity fund and the S& 500 index over the same time period.
An analyst has gathered the following information about the performance of an equity fund and the S& 500 index over the same time period.
Equity Fund S& 500
Return 32% 26%
Standard Deviation 41% 29%
Beta 0.98 1.00
Risk-free rate is 6.00%
The difference between the Sharpe ratio for the equity fund and the Sharpe ratio for the S& 500 is the:
The difference between the Sharpe ratio for the equity fund and the Sharpe ratio for the S& 500 is the:
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The equity fund Sharpe ratio: (0.32 0.06)/0.41 = 0.63 The S& 500 Sharpe ratio: (0.26 0.06)/0.29 = 0.69 The equity fund is (0.63 0.69) = -0.06 lower
The equity fund Sharpe ratio: (0.32 0.06)/0.41 = 0.63
The S& 500 Sharpe ratio: (0.26 0.06)/0.29 = 0.69
The equity fund is (0.63 0.69) = -0.06 lower
An analyst has gathered the following information about the performance of an equity fund and the S& 500 index over the same time period.
An analyst has gathered the following information about the performance of an equity fund and the S& 500 index over the same time period.
Equity Fund S& 500
Return -12% -16%
Standard Deviation 15% 19%
Beta 1.18 1.00
Risk-free rate is 6.00%
The difference between the Treynor measure for the equity fund and the Treynor measure for the S& 500 is:
The difference between the Treynor measure for the equity fund and the Treynor measure for the S& 500 is:
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The equity fund: (-0.12 0.06)/1.18 = -0.15 The S& 500: (-0.16 0.06)/1.00 = -0.22 The equity fund is (-0.15 (-0.22) = 0.07 higher
The equity fund: (-0.12 0.06)/1.18 = -0.15
The S& 500: (-0.16 0.06)/1.00 = -0.22
The equity fund is (-0.15 (-0.22) = 0.07 higher
Which of the following statements about fund performance is TRUE?
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The Sharpe ratio = (0.17 0.03)/).12 = 1.17. Note that focusing on maturity ranges or a particular market segment are definitions of style for a bond portfolio manager. Also, an investment style focusing on small capitalization stocks is likely to result in a portfolio with a higher beta and a lower dividend yield. Further, managers whose styles are specified for them should only get credit for the excess return that is due to security selection. Note that focusing on maturity ranges or a particular market segment are definitions of style for a bond portfolio manager. Also, an investment style focusing on small capitalization stocks is likely to result in a portfolio with a higher beta and a lower dividend yield. Further, managers whose styles are specified for them should only get credit for the excess return that is due to security selection.
The Sharpe ratio = (0.17 0.03)/).12 = 1.17. Note that focusing on maturity ranges or a particular market segment are definitions of style for a bond portfolio manager. Also, an investment style focusing on small capitalization stocks is likely to result in a portfolio with a higher beta and a lower dividend yield. Further, managers whose styles are specified for them should only get credit for the excess return that is due to security selection.
Note that focusing on maturity ranges or a particular market segment are definitions of style for a bond portfolio manager. Also, an investment style focusing on small capitalization stocks is likely to result in a portfolio with a higher beta and a lower dividend yield. Further, managers whose styles are specified for them should only get credit for the excess return that is due to security selection.
An analyst has generated the following information about risk/return performance using the Sharpe ratio and the Treynor measure:
An analyst has generated the following information about risk/return performance using the Sharpe ratio and the Treynor measure:
Equity Fund S& 500
Sharpe ratio 0.47 0.42
Treynor measure 0.31 0.34
Which of the following statements about the relative risk/return performance of the funds is TRUE? The:
Which of the following statements about the relative risk/return performance of the funds is TRUE? The:
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With either the Sharpe or Treynor methodology, a higher number means a higher risk-adjusted return. Since the Sharpe ratio is 0.05 higher, it outperformed the S& 500. Note that the key difference between the Sharpe and Treynor measures is that the Sharpe ratio measures return per unit of total risk, while Treynor measures return per unit of systematic risk.
With either the Sharpe or Treynor methodology, a higher number means a higher risk-adjusted return. Since the Sharpe ratio is 0.05 higher, it outperformed the S& 500. Note that the key difference between the Sharpe and Treynor measures is that the Sharpe ratio measures return per unit of total risk, while Treynor measures return per unit of systematic risk.
An analyst has gathered the following information about the performance of an equity fund and the S& 500 index over the same time period. Using Jensens Alpha to measure the risk/return performance of the Equity fund and the S& 500, which of the following conclusions is TRUE? The:
An analyst has gathered the following information about the performance of an equity fund and the S& 500 index over the same time period. Using Jensens Alpha to measure the risk/return performance of the Equity fund and the S& 500, which of the following conclusions is TRUE? The:
Equity Fund S& 500
Return 23% 27%
Standard Deviation 15% 19%
Beta 1.09 1.00
Risk-free rate is 3.50%
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Jensens Alpha: 0.23 [0.035 + (0.27 0.035)1.09] = -0.0612 or -6.12%. The negative means it underperformed the S& 500.
Jensens Alpha: 0.23 [0.035 + (0.27 0.035)1.09] = -0.0612 or -6.12%. The negative means it underperformed the S&P 500.
Which of the following statements about risk/return investment manager performance measures is FALSE?
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The Treynor measure does not include company-specific risk, it uses beta in the denominator, which only measures systematic risk. Note that the Sharpe measure uses standard deviation in its denominator, which is a measure of total risk.
The Treynor measure does not include company-specific risk, it uses beta in the denominator, which only measures systematic risk. Note that the Sharpe measure uses standard deviation in its denominator, which is a measure of total risk.
The following performance data for an actively managed portfolio and the S& 500 Index is reported:
Actively Managed Portfolio S& 500 Return 50% 20% Standard deviation 18% 15% Beta 1.1 1.0 Risk-free rate = 6 percent.
Determine the Sharpe measure, Treynor measure, and Jensen's alpha for the actively managed portfolio.
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Sharpe measure for active portfolio = (0.50 - 0.06)/0.18 = 2.44 Treynor measure for active portfolio = (0.50 - 0.06)/1.1 = 0.40 Alpha for active portfolio = 0.50 [0.06+(0.20 - 0.06) x 1.1)] = 0.29
Treynor measure for active portfolio = (0.50 - 0.06)/1.1 = 0.40
Alpha for active portfolio = 0.50 [0.06+(0.20 - 0.06) x 1.1)] = 0.29
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Sharpe measure for S& portfolio = (0.20 - 0.06)/0.15 = 0.93 Treynor Measure for S& portfolio = (0.20 - 0.06)/1.0 = 0.14 Alpha for S& portfolio = 0 Hence, the portfolio manager outperforms based on all the three performance evaluation methods.
Treynor Measure for S& portfolio = (0.20 - 0.06)/1.0 = 0.14
Alpha for S& portfolio = 0
Hence, the portfolio manager outperforms based on all the three performance evaluation methods.
The ratio of return to systematic risk for an investment portfolio is 0.70, while the market is 0.50. This information suggests that the portfolio:
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Risk-averse investors prefer a portfolio with a higher ratio of return to systematic risk to a portfolio with a lower ratio. In this case, we can also say that the portfolio would plot above the SML since the portfolio's ratio is above that of the market. Since portfolios that plot above the SML are undervalued, they are likely to provide an above average return. Note: The ratio (Treynor's Measure) implicitly assumes a diversified portfolio, hence the use of beta (or systematic risk) in the denominator.
The Sharpe Ratio is correctly defined as a measure of a funds:
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The Sharpe ratio is defined as a funds excess return (funds return minus the risk-free rate) divided by the total risk (standard deviation).
If a portfolio had an alpha of −10 bps, then the portfolio:
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Recall that Jensens alpha measures excess return for a given level of risk. It is a risk-adjusted measure of return.
The Treynor measure is correctly defined as a measure of a funds:
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The Treynor measure is defined as a funds excess return (funds return minus the risk-free rate) divided by its systematic risk (beta).
Jensens alpha for a portfolio measures the:
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Jensens alpha measures the return above the required rate of return based on the funds systematic risk. Said differently, Jensens alpha is the amount of return earned by the fund over and above the return predicted for the fund based on the capital asset pricing model, given the funds systematic risk.
The following information is available for the Trumark Fund:
What is the Sharpe ratio for the Trumark Fund?
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Sharpe Ratio = Sj = (Rj
RF) / σj = (12 - 4.50) / 16.80 = 0.45
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Treynor measure = Tj = (Rj
RF) / βj = (.12 - .0450) / 1.35 = 0.0556
[此贴子已经被作者于2008-9-17 18:19:55编辑过]
接着上一帖的题
Using the Sharpe Measure, rank the four funds in terms of the risk-adjusted excess returns starting with the highest performing fund and ending with the lowest performing fund:
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Thus the ranking is 1) Adams 2) Bould 3) Dixon 4) Winterburn.
Thus the ranking is 1) Adams 2) Bould 3) Dixon 4) Winterburn.Thus the ranking is 1) Adams 2) Bould 3) Dixon 4) Winterburn.[此贴子已经被作者于2008-9-17 18:26:57编辑过]
Bill Carter, CFA and Bob Walters, CFA are analyzing the recent return of several funds they have been assigned to manage. The funds are Fund A, Fund B, Fund C, and Fund D as indicated in the table below.
Fund A | Fund B | Fund C | Fund D | Market | ||
Return | 7.80% | 7.20% | 8.20% | 7.60% | 7.00% | |
Beta | 1.10 | 0.90 | 1.20 | 1.05 | 1.00 | |
Return Std.Dev. | 4.00% | 3.44% | 4.15% | 3.50% | 3.55% | |
Tracking Error* | 0.82% | 0.45% | 1.02% | 0.67% | ||
*Tracking error is the standard deviation of the difference between the Fund Return and the Market Index Return |
The risk-free rate of return for the relevant period was 3.5%.
The management of the firm that Carter and Walters works for is very proud of the fact that all of the four funds had a higher return than the overall market as indicated on the table. The firms management wants to advertise how, using the market as a benchmark, these funds have had returns higher than that benchmark. The firms management asks Carter and Walters to compute several performance measures such as the Treynor measure, the Sharpe ratio, and the M2 measure. The firms management also asks for the construction of quality control charts.
In going over the results, Carter is skeptical of the results and using the market as a benchmark because that benchmark was not specified in advance. Walters says that he is skeptical too because it is not clear if the market is an appropriate benchmark in all cases. They want to proceed cautiously because the firms management recently instituted policies for manager continuation. For each manager, the firms management has set up the null hypothesis that a manager has no skill and the alternative hypothesis is that the manager has skill in adding value.
Carter and Walters discuss constructing a custom benchmark for some of these or other funds they might manage. A few of these funds hold cash positions to take advantage of good investment opportunities when they arise. Carter says that the benchmark they construct should include cash in the weighting scheme. They set aside a few weeks to construct a preliminary benchmark for several funds. Walters wants to be thorough, because once they construct the benchmark, he doesnt plan to make any modifications to the custom benchmark.
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Since all of the funds returns are higher than the benchmark for the period, all of the funds would have a positive end point for the cumulative value-added line.
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Their objections are both justified. A benchmark should be specified in advance and deemed appropriate for the style of the fund.
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Carter is correct in that a custom benchmark should include an appropriate weight for cash holdings. Walters is wrong in that a benchmark should be modified on a preset schedule.
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In this case, we assume a manager does not add value and try to gather information that the manager does. Without sufficient evidence to prove value is added, the manager would be fired. Random noise could lead to this conclusion even though the manager does add value.
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