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You own $100 million of stocks and want to use E-mini SP500 futures to hedge your portfolio's risk. One E-mini SP500 futures contract's notional value

You own $100 million of stocks and want to use E-mini SP500 futures to hedge your portfolio's risk. One E-mini SP500 futures contract's notional value is ($50 SP500 index). Assume the current SP500 index is 3066 and your portfolio = 1.4. How many E-mini SP500 futures do you need to long/short in order to minimize the variance of the hedged portfolio? (Assume you can take fractions of a futures contract.)

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