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Suppose you have portfolio with the delta, gamma and vega given below. You also have three potential hedge instruments: one futures contract and two options.

Suppose you have portfolio with the delta, gamma and vega given below. You also have three potential hedge instruments: one futures contract and two options. The delta, gamma and vega for one contract of each hedge instrument is provided below. Find a hedge that is delta neutral. Next, craft a hedge that is delta and gamma neutral. Third, craft a hedge that is delta and vega neutral. Finally, find a hedge that is delta, gamma and vega neutral

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