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A portfolio manager summarizes the input from the macro and micro forecasters in the following table. Micro Forecasts Assets Expected Return (%) Beta Residual Standard
A portfolio manager summarizes the input from the macro and micro forecasters in the following table.
Micro Forecasts | |||
Assets | Expected Return (%) | Beta | Residual Standard deviation (%) |
Stock A | 20% | 1.30 | 58.0% |
Stock B | 18% | 1.80 | 71.0% |
Stock C | 17% | 0.70 | 60.0% |
Stock D | 12% | 1.00 | 55.0% |
Macro Forecasts | |||
Asset | Expected Return (%) | Beta | Residual Standard deviation (%) |
T-bills | 8% | 0.00 | 0% |
Passive Portfolio(M) | 16% | 1 | 23% |
- Calculate expected excess returns, alpha values, and residual variances for these stocks.
- Construct the optimal risk portfolio, which is composed of risk-free rate, passive market portfolio and active portfolio of Stock A-D.
- What is the Sharpe Ratio for the Optimal Portfolio that you find in Part b?
- By how much did the position in the active portfolio improve the Sharpe ratio compared to a purely passive index strategy?
- What should be the exact components of the complete optimal Portfolio for an investor with a coefficient of risk aversion of 2.8?
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