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 | 18 | 2.00 | 50 |
| Stock B | 16 | 3.00 | 50 |
| Macro Forecasts | ||
| Asset | Expected Return (%) | Standard Deviation (%) |
| T-bills | 4 | 0 |
| Passive Equity Portfolio (m) | 14 | 20 |
Instruction: for part b, enter your response as a decimal number rounded to four decimal places.
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%.
What is the Sharpe ratio for the optimal portfolio (consisting of the passive equity portfolio and the active portfolio (p))? ( )
How much of the Sharpe ratio is contributed by the active portfolio? ( )
Whats the M2 of the optimal portfolio? ( )
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