The standard deviation of monthly changes in the spot price of jet fuel $($in dollars per barrel$)$ is $1\mathrm{.}2.$

The standard deviation of monthly changes in the futures price of crude oil $($the futures contract with

the most similar underlying$)$ is $1\mathrm{.}4.$ The correlation between the futures price changes and the spot

price changes is $0\mathrm{.}7.$ It is now October $15.$ An airline is committed to purchasing $200,000$ barrels of jet

fuel on November $15.$ The producer wants to use the December crude oil futures contracts to hedge its

risk. Each contract is for the delivery of $100,000$ barrels of crude oil.Describe the optimal forward contract specification