Question: A portfolio manager summarizes the input from the macro and micro forecasts in the following table: Micro Forecasts Asset Expected Return (%) Beta Residual Standard
A portfolio manager summarizes the input from the macro and micro forecasts in the following table:
Micro Forecasts
| Asset | Expected Return (%) | Beta | Residual Standard Deviation (%) |
| Stock A | 20 | 1.50 | 60 |
| Stock B | 18 | 2.00 | 40 |
Macro Forecasts
| Asset | Expected Return (%) | Standard Deviation (%) |
| T-bills | 5 | 0 |
| Passive Equity Portfolio (m) | 16 | 25 |
1A. Calculate the expected alpha values for stock A and Stock B.
Suppose that the portfolio manager follows the Treynor-Black model, and constructs an active portfolio (p) that consists of the above two stocks. The alpha of the active portfolio (p) is -18%, and its residual standard deviation is 150%.
1B. What is the Sharpe ratio for the optimal portfolio (consisting of the passive equity portfolio and the active portfolio (p) and what's the M2 of the optimal portfolio?
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