Essentials of Investments (The Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
10th Edition
ISBN: 9780077835422
Author: Zvi Bodie Professor, Alex Kane, Alan J. Marcus Professor
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 5, Problem 4CP
Use the following data in answering CFA Questions 4-6.
Investment Expected Return,E®Standard Deviation, 6
10. 120.30
20. 10.50
30. 210.16
4. 0.24 0.21
Suppose investor “satisfaction” with a portfolio increases with expected return and decreases with variance according to the following “utility” formula: U = E® − ½ A2where A denotes the investor’s risk aversion.
4. Based on the formula for investor satisfaction or “utility,” which investment would you select if you were risk averse with A = 4? (LO 54)
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Portfolios A and B are both well-diversified. The risk-free rate is 8%. The return for the market is 10%.
Portfolio A has an expected return of 15% and beta of 1.1. Portfolio B has an expected return of 9% and beta
of 0.20. Portfolio A's variance is 9%, whilst Portfolio B's variance is 5.5%.
Calculate for Portfolio A and Portfolio B the following:
1. Sharpe's Measure,
2. Treynor's Measure,
3. Jensen's Measure.
Which is the better portfolio according to each measure?
On the basis of the utility formula below, which investment would you select if you were risk averse with A = 4?
Investment
Expected return E(r)
Standard deviation
σ
1
0.12
0.30
2
0.15
0.50
3
0.21
0.16
4
0.24
0.21
Suppose the utility function is U = E(r) - 0.5Ao2. Draw the indifference curve corresponding to
a utility level of 0.2 for an investor with a risk aversion coefficient of 3. Please note the vertical
line indicates expected return, and plot standard deviation on the horizontal line.
Chapter 5 Solutions
Essentials of Investments (The Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
Ch. 5 - Prob. 1PSCh. 5 - Prob. 2PSCh. 5 - When estimating a Sharpe ratio, would it make...Ch. 5 - You’ve just decided upon your capital allocation...Ch. 5 - Prob. 5PSCh. 5 - The stock of Business Adventures sells for $40 a...Ch. 5 - Prob. 7PSCh. 5 - a. Suppose you forecast that the standard...Ch. 5 - Using the historical risk premiums as your guide,...Ch. 5 - What has been the historical average real rate of...
Ch. 5 - Consider a risky portfolio. The end-of-year cash...Ch. 5 - For Problems 12-16, assume that you manage a risky...Ch. 5 - For Problems 12-16, assume that you manage a risky...Ch. 5 - For Problems 12-16, assume that you manage a risky...Ch. 5 - For Problems 12-16, assume that you manage a risky...Ch. 5 - For Problems 12-16, assume that you manage a risky...Ch. 5 - Prob. 17PSCh. 5 - You manage an equity fund with an expected risk...Ch. 5 - What is the reward-to--volatility (Sharpe) ratio...Ch. 5 - Download the annual returns on the combined...Ch. 5 - A portfolio of nondividend-paying stocks earned a...Ch. 5 - Which of the following statements about the...Ch. 5 - Which of the following statements reflects the...Ch. 5 - Use the following data in answering CFA Questions...Ch. 5 - Prob. 5CPCh. 5 - Lise the following data in answerifng CFA Question...Ch. 5 - Use the following scenario analysis for stocks X...Ch. 5 - Prob. 8CPCh. 5 - Use the following scenario analysis for stocks X...Ch. 5 - 10. Probabilities for three states of the economy...Ch. 5 - 11. An analyst estimates that a stock has the...Ch. 5 - Prob. 1WMCh. 5 - Prob. 2WMCh. 5 - Prob. 3WM
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