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Question: The following table provides the average annual rate of return for portfolio A, the market portfolio, and the risk-free asset.
Average rate of return
Standard deviation of return
Beta
Portfolio A
10%
18%
0.6
Market Portfolio
12%
13%
1
Risk-free asset
6%
n/a
Required:
Question 1: Calculate both the Treynor measure and the Sharpe measure for both Portfolio A and the market portfolio. Discuss and compare the performances of Portfolio A and the market portfolio.
Question 2: Based on the performance results of Portfolio A and the market portfolio calculated in part (a), explain the reason for the conflicting results in details when using the Treynor measure versus the Sharpe measure.
Question 3: Describe how the Jensen measure of performance is calculated. Under what condition should it give a similar set of portfolio performance ranking as the Treynor measure and the Sharpe measure?
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