22 The following is part of the computer output from a regression of monthly returns on Waterworks stock against the S&P 500 Index. A hedge fund manager believes that Waterworks is underpriced, with...


22<br>The following is part of the computer output from a regression of monthly returns on Waterworks stock against the S&P 500 Index. A<br>hedge fund manager believes that Waterworks is underpriced, with an alpha of 2% over the coming month.<br>Standard Deviation<br>of Residuals<br>0.05 (i.e., 58 monthly)<br>Beta<br>R-square<br>0.65<br>0.62<br>X 01:57:28<br>Required:<br>a. Suppose you hold an equally weighted portfolio of 100 stocks with the same alpha, beta, and residual standard deviation as<br>Waterworks. Assume the residual returns (the e terms in Equations 20.1 and 20.2) on each of these stocks are independent of each<br>other. What is the residual standard deviation of the portfolio? (Round your percentage answer to 2 decimal places.)<br>Residual standard deviation<br>b. Recalculate the probability of a loss on a market-neutral strategy involving equally weighted, market-hedged positions in the 100<br>stocks over the next month. Assume the risk-free rate is 0.1% per month, (Do not round intermediate calculations. Round your<br>percentage answer to 5 decimal places.)<br>%<br>Probability of a loss<br>

Extracted text: 22 The following is part of the computer output from a regression of monthly returns on Waterworks stock against the S&P 500 Index. A hedge fund manager believes that Waterworks is underpriced, with an alpha of 2% over the coming month. Standard Deviation of Residuals 0.05 (i.e., 58 monthly) Beta R-square 0.65 0.62 X 01:57:28 Required: a. Suppose you hold an equally weighted portfolio of 100 stocks with the same alpha, beta, and residual standard deviation as Waterworks. Assume the residual returns (the e terms in Equations 20.1 and 20.2) on each of these stocks are independent of each other. What is the residual standard deviation of the portfolio? (Round your percentage answer to 2 decimal places.) Residual standard deviation b. Recalculate the probability of a loss on a market-neutral strategy involving equally weighted, market-hedged positions in the 100 stocks over the next month. Assume the risk-free rate is 0.1% per month, (Do not round intermediate calculations. Round your percentage answer to 5 decimal places.) % Probability of a loss

Jun 10, 2022
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