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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