Suppose on March 1 you take a long position in a June S\&P 500 futures contract at 2,000 with a \(\$ 250\) multiplier.

a. How much cash or risk-free securities would you have to deposit to satisfy an initial margin requirement of \(4.00 \%\) ?

b. Calculate the values of your commodity account on the following days, given the following futures prices:
\[\begin{array}{|l|l|} \hline 3 / 2 & 2,100 \\ \hline 3 / 3 & 2,000 \\ \hline 3 / 4 & 1,900 \\ \hline 3 / 5 & 1,800 \\ \hline 3 / 8 & 2,000 \\ \hline 3 / 9 & 2,100 \\ \hline \end{array}\]

c. If the maintenance margin requirement specifies keeping the value of the commodity account equal to \(100 \%\) of the initial margin requirement each day, how much cash would you need to deposit in your commodity account each day?