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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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