As the chief investment officer for a money management firm specializing in taxable individual investors, you are trying to establish a strategic asset allocation for two different clients. You have established that Ms. A has a risk-tolerance factor of 8, while Mr. B has a risktolerance factor of 27. The characteristics for four model portfolios follow: ASSET MIX Portfolio Stock Bond ER o^2 1 5% 95% 8% 5% 2 25% 75% 9% 10% 3 70% 30% 10% 16% 4 90% 10% 11% 25% a. Calculate the expected utility of each prospective portfolio for each of the two clients. b. Which portfolio represents the optimal strategic allocation for Ms. A? Which portfolio is optimal for Mr. B? Explain why there is a difference in these two outcomes. c. For Ms. A, what level of risk tolerance would leave her indifferent between having Portfolio 1 or Portfolio 2 as her strategic allocation? Demonstrate.
As the chief investment officer for a money management firm specializing in taxable individual investors, you are trying to establish a strategic asset allocation for two different clients. You have established that Ms. A has a risk-tolerance factor of 8, while Mr. B has a risktolerance factor of 27. The characteristics for four model portfolios follow: ASSET MIX Portfolio Stock Bond ER o^2 1 5% 95% 8% 5% 2 25% 75% 9% 10% 3 70% 30% 10% 16% 4 90% 10% 11% 25% a. Calculate the expected utility of each prospective portfolio for each of the two clients. b. Which portfolio represents the optimal strategic allocation for Ms. A? Which portfolio is optimal for Mr. B? Explain why there is a difference in these two outcomes. c. For Ms. A, what level of risk tolerance would leave her indifferent between having Portfolio 1 or Portfolio 2 as her strategic allocation? Demonstrate.
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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| As the chief investment officer for a money management firm specializing in taxable individual investors, you are trying to establish a strategic asset allocation for two different clients. You have established that Ms. A has a risk-tolerance factor of 8, while Mr. B has a risktolerance factor of 27. The characteristics for four model portfolios follow: |
| ASSET MIX | ||||
| Portfolio | Stock | Bond | ER | o^2 |
| 1 | 5% | 95% | 8% | 5% |
| 2 | 25% | 75% | 9% | 10% |
| 3 | 70% | 30% | 10% | 16% |
| 4 | 90% | 10% | 11% | 25% |
| a. Calculate the expected utility of each prospective portfolio for each of the two clients. |
| b. Which portfolio represents the optimal strategic allocation for Ms. A? Which portfolio is optimal for Mr. B? Explain why there is a difference in these two outcomes. |
| c. For Ms. A, what level of risk tolerance would leave her indifferent between having Portfolio 1 or Portfolio 2 as her strategic allocation? Demonstrate. |
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