EBK INVESTMENTS
11th Edition
ISBN: 9781259357480
Author: Bodie
Publisher: MCGRAW HILL BOOK COMPANY
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Chapter 24, Problem 16PS
Summary Introduction
To analyze: The reasons of difference in ranking for Fund A as compared to fund D as per the given circumstances.
Introduction:
Risk measure: It is used to calculate the amount of asset that needs to be kept as a reserve. These reserves will be helpful in case of any financial crisis. Some of the risk measurement tools are Sharpe ratio, Treynor’s ratio etc..
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An investor who uses only the Treynor ratio to evaluate the performance of a mutual fund is most likely to conclude:
a. Total risk is more important than systematic risk
b. The fund is not well-diversified.
c. A measure of market portfolio performance is essential to evaluate the fund
d. The beta of the fund captures the relevant risk of the fund.
Performance evaluation allows us to assess the performance of fund managers going beyond historical returns. In particular, we recognize that risk is anhinportant factor when assessing the performance of fund managers and hence it should be taken into account when evaluating fund managers. However,there are many measures used to assess this risk adjusted performance.a. Identify circumstances in which the Sharpe and Treynor indices can provide conflicting fund rankings and discuss why this is the case.b. Describe Jensen's alpha and the Carhart (1997) model.c. Describe how the information ratio is calculated and what it attempts to measure.
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
Chapter 24 Solutions
EBK INVESTMENTS
Ch. 24 - Prob. 1PSCh. 24 - Prob. 2PSCh. 24 - Prob. 3PSCh. 24 - Prob. 4PSCh. 24 - Prob. 5PSCh. 24 - Prob. 6PSCh. 24 - Prob. 7PSCh. 24 - Prob. 8PSCh. 24 - Prob. 9PSCh. 24 - Prob. 10PS
Ch. 24 - Prob. 11PSCh. 24 - Prob. 12PSCh. 24 - Prob. 13PSCh. 24 - Prob. 14PSCh. 24 - Prob. 15PSCh. 24 - Prob. 16PSCh. 24 - Prob. 17PSCh. 24 - Prob. 18PSCh. 24 - Prob. 19PSCh. 24 - Prob. 20PSCh. 24 - Prob. 21PSCh. 24 - Prob. 22PSCh. 24 - Prob. 1CPCh. 24 - Prob. 2CPCh. 24 - Prob. 3CPCh. 24 - Prob. 4CPCh. 24 - Prob. 5CPCh. 24 - Prob. 6CPCh. 24 - Prob. 7CPCh. 24 - Prob. 8CPCh. 24 - Prob. 9CPCh. 24 - Prob. 10CPCh. 24 - Prob. 11CPCh. 24 - Prob. 12CPCh. 24 - Prob. 13CPCh. 24 - Prob. 14CP
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- Fund 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_forward28) A manager who evaluates portfolios' investment performance adjusted for market risk is most likely to rank portfolios based on their: Select one or more: Sharpe ratio Treynor measure Jensen's Alpha measure M-squared measuresarrow_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_forward
- a. Using the data in the table below and calculate the following performance measures. i. Sharpe ratio ii. Treynor measure iii. Jensen's alpha iv. M-squared measure v. T-squared measure, and vi. Appraisal ratio (information ratio) Average Standard Beta Unsystematic Fund Return Deviation Coefficient Risk A 0.240 0.800 0.900 0.220 0.017 B 0.200 0.170 0.450 C 0.380 0.290 0.400 0.290 1.200 0.074 0.260 0.180 1.100 0.026 E 0.900 0.121 F 0.460 0.190 0.180 0.153 0.120 0.320 1.100 G 0.250 0.700 Market 0.220 1.000 0.000 Risk-free return 0.050 0.000arrow_forwardYou 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 isarrow_forwardRichard Roll, in an article on using the capital asset pricing model (CAPM) to evaluate portfolio performance, indicated that it may not be possible to evaluate portfolio management ability if there is an error in the benchmark used.a. In evaluating portfolio performance, describe the general procedure, with emphasis on the benchmark employed.b. Explain what Roll meant by benchmark error and identify the specific problem with this benchmark.c. Draw a graph that shows how a portfolio that has been judged as superior relative to a “measured” security market line (SML) can be inferior relative to the “true” SML.d. Assume that you are informed that a given portfolio manager has been evaluated as superior when compared to the Dow Jones Industrial Average, the S&P 500, and the NYSE Composite Index. Explain whether this consensus would make you feel more comfortable regarding the portfolio manager’s true ability.e. Although conceding the possible problem with benchmark errors as set forth…arrow_forward
- 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.arrow_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_forwardcalculate 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_forward
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