Essentials of Investments (The Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
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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Chapter 5, Problem 4CP

Use the following data in answering CFA Questions 4-6.
Investment Expected Return,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.

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Essentials of Investments (The Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)

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Portfolio return, variance, standard deviation; Author: MyFinanceTeacher;https://www.youtube.com/watch?v=RWT0kx36vZE;License: Standard YouTube License, CC-BY