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UAL fears that oil prices will go up. Considering below information, what is the optimal number of futures contracts UAL should buy? Correlation between oil

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UAL fears that oil prices will go up. Considering below information, what is the optimal number of futures contracts UAL should buy? Correlation between oil spot and future prices 0.96 Standard deviation of oil futures 5 Standard deviation of oil spot prices 6 Oil futures contract size 42.000 gallons Gallons needed by UAL 6,558,186 gallons Please state your answer as an integer (i.e. you cannot buy 1.2 contracts, it is either 1 or 2 contracts)

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