You are day$-$trading the S&P E$-$Mini contract with $$5,750\mathrm{.}00$ of equity in your account. Contract

specs are as follows:

Based on your new sophisticated algorithm, there is an $85\%$ chance that the $S$ & P will fall over

the next half hour, so you go all in by selling $6$ June contracts. The market rises $5$ tics, and then

plunges $50$ tics when you flatten your position $($buy to close them all$).$ What was your gross profit

or loss for the day?

After the trade in Problem $2,$ you decide to buy October Copper futures $($HGV$-).$ Contract specs

are as follows:

a$.$ How many contracts can you $($safely$)$ buy?

b$.$ If HGV then declines $$0\mathrm{.}0455$ per pound, what is the market$-$to$-$market equity in the

account?