Problem 2 (5 points): August 2022 S&P Mini Index Futures contracts are currently trading at $2,035. Below are the prices of the contract for the next five months. Assuming a continuously compounded risk-free rate of 8%, initial margin of 10% (maintenance margin 80% of initial), size of $100xIndex, and monthly marking to market (for one contract), fill in the table above for margin balance and margin calls. Date Close Margin Balance Pre- Balance Post Call Margin Call Margin Call Now $2,035 1 Month $1,950 2 Month $1,90 3 Month $1,985 4 Month $2,025 5 Month (maturity) $2,065