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 1.00 20 60 Stock B 2.50 18 40 Macro Forecasts Expected Return (%) Standard Deviation (%) Asset T-bills 5 о Passive Equity Portfolio (m) 12 25 a. Calculate expected excess returns, alpha values, and residual variances for these stocks. Instruction: Enter your answer as a percentage (rounded to two decimal places) for expected excess returns and alpha values. Expected excess return on stock A Expected excess return on stock B Alpha of stock A Alpha of stock B Instruction: Enter your answer as a decimal number rounded to two decimal places for residual variances. Residual variance of stock A Residual variance of stock B 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)? Micro Forecasts Residual Standard Deviation (% Asset Expected Return (%) Beta Stock A 20 1.00 60 Stock B 18 2.50 40 Macro Forecasts Expected Return (%) Asset Standard Deviation (%) O0 T-bills Passive Equity Portfolio (m) 12 25 a. Calculate expected excess returns, alpha values, and residual variances for these stocks. Instruction: Enter your answer as a percentage (rounded to two decimal places) for expected excess returns and alpha values. Expected excess return on stock A Expected excess return on stock B Alpha of stock A Alpha of stock B Instruction: Enter your answer as a decimal number rounded to two decimal places for residual variances. Residual variance of stock A Residual variance of stock B 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)? What's the M2 of the optimal portfolio?

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Chapter8: Risk And Rates Of Return
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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 Deviation (%)
Stock A
1.00
20
60
Stock B
2.50
18
40
Macro Forecasts
Expected Return (%)
Standard Deviation (%)
Asset
T-bills
5
о
Passive Equity Portfolio (m)
12
25
a. Calculate expected excess returns, alpha values, and residual variances for these stocks.
Instruction: Enter your answer as a percentage (rounded to two decimal places) for expected excess returns and alpha values.
Expected excess return on stock A
Expected excess return on stock B
Alpha of stock A
Alpha of stock B
Instruction: Enter your answer as a decimal number rounded to two decimal places for residual variances.
Residual variance of stock A
Residual variance of stock B
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)?
Transcribed Image Text: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 1.00 20 60 Stock B 2.50 18 40 Macro Forecasts Expected Return (%) Standard Deviation (%) Asset T-bills 5 о Passive Equity Portfolio (m) 12 25 a. Calculate expected excess returns, alpha values, and residual variances for these stocks. Instruction: Enter your answer as a percentage (rounded to two decimal places) for expected excess returns and alpha values. Expected excess return on stock A Expected excess return on stock B Alpha of stock A Alpha of stock B Instruction: Enter your answer as a decimal number rounded to two decimal places for residual variances. Residual variance of stock A Residual variance of stock B 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)?
Micro Forecasts
Residual Standard Deviation (%
Asset
Expected Return (%)
Beta
Stock A
20
1.00
60
Stock B
18
2.50
40
Macro Forecasts
Expected Return (%)
Asset
Standard Deviation (%)
O0
T-bills
Passive Equity Portfolio (m)
12
25
a. Calculate expected excess returns, alpha values, and residual variances for these stocks.
Instruction: Enter your answer as a percentage (rounded to two decimal places) for expected excess returns and alpha values.
Expected excess return on stock A
Expected excess return on stock B
Alpha of stock A
Alpha of stock B
Instruction: Enter your answer as a decimal number rounded to two decimal places for residual variances.
Residual variance of stock A
Residual variance of stock B
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)?
What's the M2 of the optimal portfolio?
Transcribed Image Text:Micro Forecasts Residual Standard Deviation (% Asset Expected Return (%) Beta Stock A 20 1.00 60 Stock B 18 2.50 40 Macro Forecasts Expected Return (%) Asset Standard Deviation (%) O0 T-bills Passive Equity Portfolio (m) 12 25 a. Calculate expected excess returns, alpha values, and residual variances for these stocks. Instruction: Enter your answer as a percentage (rounded to two decimal places) for expected excess returns and alpha values. Expected excess return on stock A Expected excess return on stock B Alpha of stock A Alpha of stock B Instruction: Enter your answer as a decimal number rounded to two decimal places for residual variances. Residual variance of stock A Residual variance of stock B 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)? What's the M2 of the optimal portfolio?
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