Question: A portfolio manage summarizes the input from the macro and micro forecasts in the following table: Micro Forecasts Asset Expected Return (%) Beta Residual Standard

A portfolio manage summarizes the input from the macro and micro forecasts in the following table:

Micro Forecasts

AssetExpected Return (%)BetaResidual Standard Deviation (%)
Stock A182.0050
Stock B163.0050

Macro Forecasts

AssetExpected Return (%)Residual Standard Deviation (%)
T-bills40
Passive Equity Portfolio (m)1420

a). Calculate expected excess returns, alpha values, and residual variances for these stocks.

b). Suppose that the portfolio manager follows the Treynor-Black model and constructs an active portfolio (p) that consists of the above expected return -18%, and its residual standard deviation is 150%.

c). What is the Sharpe ratio for the optimal portfolio (consisting of the passive equity portfolio and the active portfolio(p))?

d). How much of the Sharpe ratio is contributed by the active portfolio?

e). What’s the M2 of the optimal portfolio?

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