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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
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 Beta R-square of Residuals 8.75 8.65 0.83 (1.e., 3% monthly) 0-1. If he holds a $8.8 million portfolio of Waterworks stock and wishes to hedge market exposure for the next month using one-month maturity S&P 500 futures contracts, how many contracts should he enter? The S&P 500 currently is at 2,000 and the contract multiplier is $50. Number of contracts a-2. Should he buy or sell contracts? Sell OBuy b. Assuming that monthly returns are approximately normally distributed, what is the probability that this market-neutral strategy will lose money over the next month? Assume the risk-free rate is 0.9% per month. (Do not round Intermediate calculations. Round your answer to 2 decimal places.) Probability 96
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