6. If you had $4,000 in a margin account at the beginning of the day, what is in the account at the end of the day if you take a long position at the open and close at the low price? \begin{tabular}{|c|c|c|c|c|c|c|c|c|} \hline \multicolumn{9}{|c|}{ Contract Unit: $100,000, Priced in 32nds } \\ \hline & & Last & Change & Prior Settle & Open & High & Low & Volume \\ \hline \begin{tabular}{l} Dec-22 \\ ZBZ2 \end{tabular} & OPT & 12115 & 028(0.72%) & 12211 & 12215 & 12220 & 12029 & 228,281 \\ \hline \begin{tabular}{l} Mar-23 \\ ZBH3 \end{tabular} & OPT & 12116 & 020(0.51%) & 12204 & 122202 & 12210 & 12022 & 511 \\ \hline \end{tabular} 1. If you are a bank that is trying to protect your bond portfolio against the Fed's rate increases, would you take a long or a short position in T-bond futures? 2. If you took a long position at the March open and closed at the last, what is your dollar gain or loss? 3. If you took a short position at the March contract high and closed at the low, what is your dollar gain or loss? 4. If you started with $2,500 initial margin, how much would be in your account at the end of the day, if you took a short position at the March high and closed at the low? 6. If you had $4,000 in a margin account at the beginning of the day, what is in the account at the end of the day if you take a long position at the open and close at the low price? \begin{tabular}{|c|c|c|c|c|c|c|c|c|} \hline \multicolumn{9}{|c|}{ Contract Unit: $100,000, Priced in 32nds } \\ \hline & & Last & Change & Prior Settle & Open & High & Low & Volume \\ \hline \begin{tabular}{l} Dec-22 \\ ZBZ2 \end{tabular} & OPT & 12115 & 028(0.72%) & 12211 & 12215 & 12220 & 12029 & 228,281 \\ \hline \begin{tabular}{l} Mar-23 \\ ZBH3 \end{tabular} & OPT & 12116 & 020(0.51%) & 12204 & 122202 & 12210 & 12022 & 511 \\ \hline \end{tabular} 1. If you are a bank that is trying to protect your bond portfolio against the Fed's rate increases, would you take a long or a short position in T-bond futures? 2. If you took a long position at the March open and closed at the last, what is your dollar gain or loss? 3. If you took a short position at the March contract high and closed at the low, what is your dollar gain or loss? 4. If you started with $2,500 initial margin, how much would be in your account at the end of the day, if you took a short position at the March high and closed at the low