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

A portfolio manager summarizes the input from the macro and micro forecasters in the following table:

Micro Forecasts

Asset Expected Return (%) Beta Residual Standard Deviation (%)
Stock A 28 1.5 40
Stock B 22 2.0 62
Stock C 21 0.9 51
Stock D 16 1.0 46

Macro Forecasts

Asset Expected Return (%) Standard Deviation (%)
T-bills 8 0
Passive equity portfolio 20 25

a. Calculate expected excess returns, alpha values, and residual variances for these stocks. (Negative values should be indicated by a minus sign. Do not round intermediate calculations. Round "Alpha values" to 1 decimal place.)

b. Compute the proportion in the active portfolio and the passive index. (Negative values should be indicated by a minus sign. Do not round intermediate calculations. Enter your answer as decimals rounded to 4 places.)

c. What is the Sharpe ratio for the optimal portfolio? (Do not round intermediate calculations. Enter your answer as decimals rounded to 4 places.)

d. By how much did the position in the active portfolio improve the Sharpe ratio compared to a purely passive index strategy? (Do not round intermediate calculations. Enter your answer as decimals rounded to 4 places.)

e. What should be the exact makeup of the complete portfolio (including the risk-free asset) for an investor with a coefficient of risk aversion of 3.0? (Do not round intermediate calculations. Round your answers to 2 decimal places.)

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