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What is part b, m^2? A portfolio manager summarizes the input from the macro and

ID: 2783901 • Letter: W

Question

What is part b, m^2?

A portfolio manager summarizes the input from the macro and micro forecasts in the following table: icro Forecasts Asset Stock A 18 Stock B 16 Ex Return Beta Residual Standard Deviation Macro Forecasts Asset T-bills Passive Equity Portfolio (m) Return Standard Deviation 14 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 14.00 % 2.00 % -6.00 % 18.00 % Instruction: Enter your answer as a decimal number rounded to two decimal places for residual variances Residual variance of stock A 2500.00 Residual variance of stock B 2500.00 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))? 0.1200 What's the M2 of the optimal portfolio?

Explanation / Answer

Answer; The M square also jnowns as Modigliani risk adjuste performance measure is calculated multiplying Sharpe Ratio by standard deviation

Hence in above Case

Sharpe Ratio = -0.1200

Standar deviation=150%

M square=-0.1200 * 150% = -0.18

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