$(3$ pts$)$ A single S&P $500$ futures contract delivers $250$ units of indices. Assume the current

futures price $($per unit index$)$ is $$2,460\mathrm{.}61.$ An investor takes a short position in $10S$&$P500$

futures contracts. Suppose the investor is required to deposit a $10\%$ initial margin and that

the maintenance margin is set to $80\%$ of the initial marginal. The margin balance earns a

continuously compounded interest rate of $3\%.$ If the futures price of S&P $500$ index on the

first $5$ days are respectively

Calculate the margin balances at the close of each day. What is the total profit if closing on

Day $5?$ You can perform the calculations using Excel and attach your spread sheet.