Essentials Of Investments
11th Edition
ISBN: 9781260013924
Author: Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher: Mcgraw-hill Education,
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Chapter 7, Problem 2PS
Consider the statement: “If we can identify a portfolio with a higher Sharpe ratio than the S&P 500 Index portfolio, then we should reject the single-index
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Which two portfolios lie on the same indifference curve? Ignore feasibility.
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What are the different types of expected return and related risk, for individual assets and for portfolios as a whole. Explain carefully what each type represents and give examples in each case. What type of expected returns does the CAPM model capture? What type of expected return and risk you are exposed to if you have the FTSE 100 INDEX only in the portfolio?
You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset:
Rp
15.0%
14.0
8.3
11.2
4.8
Portfolio
X
Y
Z
Market
Risk-free
op
Portfolio
X
Y
Z
Market
31%
26
16
21
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What are the Sharpe ratio, Treynor ratio, and Jensen's alpha for each portfolio? (A negative value should be indicated by a minus
sign. Leave no cells blank - be certain to enter "0" wherever required. Do not round intermediate calculations. Round your rati
answers to 5 decimal places. Enter your alpha answers as a percent rounded to 2 decimal places.)
Sharpe Ratio
32.90323
35.38462
21.87500
1.85
1.25
.85
1.00
0
Treynor Ratio
5.51351
7.36000
4.11765
Jensen's Alpha
-1.64%
1.20 %
-1.94%
%
Chapter 7 Solutions
Essentials Of Investments
Ch. 7 - Prob. 1PSCh. 7 - Consider the statement: “If we can identify a...Ch. 7 - Are the following true or false? Explain. (LO 7-5)...Ch. 7 - Here are data on two companies. The T-bill rate is...Ch. 7 - Characterize each company in the previous problem...Ch. 7 - What is the expected rate of return for a stock...Ch. 7 - Kaskin, Inc., stock has a beta of 1.2 and Quinn,...Ch. 7 - What must be the beta of a portfolio with E(rf)) =...Ch. 7 - The market price of a security is $40. Its...Ch. 7 - You arc a consultant to a large manufacturing...
Ch. 7 - Consider the following table, which gives a...Ch. 7 - Prob. 13PSCh. 7 - Prob. 14PSCh. 7 - If the simple CAPM is valid, which of the...Ch. 7 - Prob. 16PSCh. 7 - If the simple CAPM is valid, which of the...Ch. 7 - Prob. 18PSCh. 7 - Prob. 19PSCh. 7 - Prob. 20PSCh. 7 - In problem 2123 below, assume the risk-free rate...Ch. 7 - Prob. 22PSCh. 7 - In problem 2123 below, assume the risk-free rate...Ch. 7 - Two investment advisers are comparing performance....Ch. 7 - Suppose the yield on short-term government...Ch. 7 - Based on current dividend yields and expected...Ch. 7 - Consider the following data for a single index...Ch. 7 - Assume both portfolios A and B are well...Ch. 7 - Prob. 29PSCh. 7 - Prob. 30PSCh. 7 - Et
Ch. 7 - Suppose two factors are identified for the U.S....Ch. 7 - Suppose there are two independent economic...Ch. 7 - As a finance intern at Pork Products, Jennifer...Ch. 7 - Suppose the market can be described by the...Ch. 7 - Which of the following statements about the...Ch. 7 - Kay, a portfolio n1anacr at Collins Asset...Ch. 7 - Prob. 3CPCh. 7 - Jeffrey Bruner, CFA, uses the capital asset...Ch. 7 - Prob. 5CPCh. 7 - According to CAPM, the expected rate of a return...Ch. 7 - Prob. 7CPCh. 7 - Prob. 8CPCh. 7 - 9. Briefly explain whether investors should expect...Ch. 7 - Assume that both X and Y are well-diversified port...Ch. 7 - Prob. 11CPCh. 7 - 12. A zero-investment, well-diversified portfolio...Ch. 7 - 13. An investor takes as large a position as...Ch. 7 - In contrast to the capital asset pricing model,...Ch. 7 - Prob. 1WMCh. 7 - Prob. 2WMCh. 7 - Prob. 3WMCh. 7 - a. Which of the stocks would you classify as...
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- 4.What is the expected return, Standard denation and Coeknicient of vanation of an equally werghted port folLo OF technology, T-bills and inernatin et Funds? tiDW does your Dort folio risk and return compane to that Of the Spp500 index?arrow_forwardThe following figures show the optimal portfolio choice for two investors with different levels of risk-aversion graphically. Which statement is correct? E[R] 0.3 0.25 0.2 0.15 0.1 0.05 0 0 0.05 0.1 0.15 Figure 1 0.2 0.25 0.3 0.35 o(R) 0.4 0.45 [H]Z 0.3 0.25 0.2 0.15 0.1 0.05 0 0 0.05 0.1 Figure (2) shows an investor that borrows in risk-free rate and invests in the risky asset. Figure (1) shows an investor with a conservative investment behavior. In the optimal point of both figures, the highest indifference curve is tangent to the efficient frontier. In Figure (1), more aggressive investment decision led to a higher Sharpe ratio. 0.15 Figure 2 0.2 0.25 o (R) 0.3 0.35 0.4 0.45arrow_forwardWhich of the following statements is false regarding the portfolio selection problem? Question 10 options: A) The problem typically includes both greater-than-or-equal-to and less-than-or-equal-to constraints. B) The typical objective is to maximize the expected return on investment. C) Typical applications include banks, mutual funds, investment services, and insurance companies. D) The constraints only pertain to risk.arrow_forward
- 2. Based on the chart above, which portfolio is “better” based on Markowitz approach to portfolio construction? A. A, because it has zero risk B. B, because it is safe than C C. C, because it has higher return D. B & C are equally good because both have same “return relative to the risk taken” and the choice between the two is a matter of investors preferencearrow_forwardThe CAPM states that the expected (required) return on an asset is : E(Ri)=Rf+βi[E(RM)−Rf] where the term in square brackets is the risk-premium earned by the market portfolio. Therefore, the beta of the market portfolio (βM) must be equal to __________ . A) zero B) 0.5 C) 1.0 D) an unknown estimatearrow_forward4. Which of the following statements about the Sharpe ratio is false? (a) The Sharpe ratio is equal to the excess return of a portfolio over the market return divided by the total risk of the portfolio. (b) The Sharpe ratio can be used to evaluate absolute performance of undiversified portfolios. (c) The Sharpe ratio considers both the systematic and unsystematic risks of a portfolio. (d) The Sharpe ratio is derived from the capital market line.arrow_forward
- (Figure in attachment!!!) Problem 4: For each of the following statements, judge if it is true or false, andprovide a detailed explanation behind your answers.a) Roll’s critique is that the market is never truly in equilibrium and henceone can never truly test whether the CAPM holds.b) The figure below shows the risk and expected return of 4 given assets.Consider an investor with “Mean-Variance” preferences, and the statement:“If the investor is indifferent between assets A and D, then she prefers Cto B; but if she is indifferent between B and C, she prefers A to D.”.c) Suppose you make a “scatter plot”, each point representing a pair ofcontemporaneous returns from a time series of returns on the marketportfolio and a single asset. If the CAPM holds, you would expect all points to line up perfectly on a straight line, the slope of which is theasset’s beta.PS: (Problem 4 figure in attachment!!!)arrow_forwardYou are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: Portfolio Rp X 15.0% Y 14.0 Z 9.0 Market 10.3 Risk-free 4.2 op 32% 27 17 22 0 Portfolio X Y Z Market 6p 1.40 1.10 0.75 1.00 What are the Sharpe ratio, Treynor ratio, and Jensen's alpha for each portfolio? (A negative value should be indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Do not round intermediate calculations. Leave your ratio answers as a decimal rounded to 5 places (e.g., 0.23546). Enter your alpha answers as a percent rounded to 2 decimal places (e.g., 0.22%).) Sharpe Ratio Treynor Ratio Jensen's Alpha % % % %arrow_forwardYou are given the following Information concerning three portfollos, the market portfolio, and the risk-free asset Portfolio Rp Op X 13.0% Y 12.0 Z Market Risk-free 7.2 11.0 5.6 24 ཝིཙྪཱཙྪལ༤ 39% 1.75 1.30 .85 1.00 0 What are the Sharpe ratio, Treynor ratio, and Jensen's alpha for each portfolio? (A negative value should be Indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Do not round Intermediate calculations. Round your ratio answers to 5 decimal places. Enter your alpha answers as a percent rounded to 2 decimal places.) Portfolio Sharpe Ratio Treynor Ratio Jensen's Alpha X % Y % Z % Market %arrow_forward
- You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: Rp 15.5% op 36% вр 1.35 1.15 14.5 7.4 0.60 11.7 1.00 7.0 Portfolio X Y Z Market Risk-free What are the Sharpe ratio, Treynor ratio, and Jensen's alpha for each portfolio? Note: A negative value should be indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Do not round intermediate calculations. Round your ratio answers to 5 decimal places. Enter your alpha answers as a percent rounded to 2 decimal places. Portfolio X Y Z Market 31 21 26 0 X Answer is complete but not entirely correct. Jensen's Alpha 2.16 2.10 -2.42 0 Sharpe Ratio 23.61111 24.19355 X 1.90476 x 18.07692 x Treynor Ratio 11.48148 x 6.52174 X 0.66667 4.70000 % % % %arrow_forwardThe following figures show the optimal portfolio choice for two investors with different levels of risk-aversion graphically. Which statement is correct? E[R] 0.3 0.25 0.2 0.15 0.1 0.05 0 0 0.05 0.1 0.15 Figure 1 0.2 0.25 0.3 0.35 0.4 0.45 o (R) E[R] Figure (1) shows an investor with a conservative investment behavior. 0.3 0.25 0.2 0.15 0.1 0.05 0 0 Figure (2) shows an investor that borrows in risk-free rate and invests in the risky asset. 0.05 0.1 0.15 In the optimal point of both figures, the highest indifference curve is tangent to the efficient frontier. O In Figure (1), more aggressive investment decision led to a higher Sharpe ratio. Figure 2 0.2 0.25 o(R) 0.3 0.35 0.4 0.45arrow_forwardYou are given the following Information concerning three portfolios, the market portfollo, and the risk-free asset: Portfolio X Y Z Market Risk-free Rp 14.10% 13.10 8.50 12.00 7.20 Information ratio op 39.00% 34.00 1.15 0.90 1.00 0 Assume that the tracking error of Portfolio X is 8.90 percent. What is the information ratio for Portfolio X? Note: A negative value should be indicated by a minus sign. Do not round Intermediate calculations. Round your answer to 4 decimal places. 6p 1.50 24.00 29.00 0arrow_forward
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