You are given the following information about a portfolio you are to manage.For the long term, you are bullish, but you think the market may fall over the next month. 
How many contracts should you buy or sell to hedge your position? Allow fractions of contracts in your answer.
Definitions:
Normally Distributed
A type of distribution in which the data's histogram has a bell-shaped curve, indicating that most values cluster around a central region, with fewer at the edges.
Standard Deviation
A statistical measure of the dispersion or spread of data points in a data set.
Tax Rebate
A refund on taxes paid, typically when the tax liability is less than the taxes paid.
Achievement Test
A test designed to assess a person's knowledge or proficiency in a particular area or subject.
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