Assume that the risk-free interest rate is 9% per annum with continuous compounding and that the stock index pays dividends monthly (at the end of the month) as follows. In February, May, August, and November, the dividend is 5 dollars, while in other months, it is 2 dollars. Suppose that the value of the index on July 31, 2000, is 300. 1. Calculate the forward price of a Forward contract that is deliverable on October 31, 2000. 2. Determine the value process of the above contract. 3. Calculate the futures price for a futures contract that is is maturing on December 31st, 2000. Assume that the risk-free interest rate is 9% per annum with continuous compounding and that the stock index pays dividends monthly (at the end of the month) as follows. In February, May, August, and November, the dividend is 5 dollars, while in other months, it is 2 dollars. Suppose that the value of the index on July 31, 2000, is 300. 1. Calculate the forward price of a Forward contract that is deliverable on October 31, 2000. 2. Determine the value process of the above contract. 3. Calculate the futures price for a futures contract that is is maturing on December 31st, 2000