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Micro Forecasts Asset Expected Return (%) Beta Residual Standard Deviation (%) Stock A 23 1.5 60 Stock B 19 1.8 72 Stock C 18 1.0

Micro Forecasts

Asset Expected Return (%) Beta Residual Standard Deviation (%)
Stock A 23 1.5 60
Stock B 19 1.8 72
Stock C 18 1.0 61
Stock D 13 1.0 56

Macro Forecasts

Asset Expected Return (%) Standard Deviation (%)
T-bills 8 0
Passive equity portfolio 17 23

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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