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. Now suppose that the manager misestimates the beta of Waterworks stock, believing it to be 0.50 instead of 0.75 . The standard deviation of the monthly market rate of return is 5%. Required: a. If he holds a $6 million portfolio of Waterworks stock and wishes to hedge market exposure for the next month using one-month maturity S\&P 500 futures contracts, what is the standard deviation of the (now improperly) hedged portfolio? The S\&P 500 currently is at 3,000 and the contract multiplier is \$50. (Do not round intermediate calculations. Round your percentage answer to 2 decimal places.) b. What is the probability of incurring a loss over the next month if the monthly market return has an expected value of 1% and a standard deviation of 5\%? (Do not round intermediate calculations. Round your percentage answer to 2 decimal places.)