please give a detailed answer (with all calculations)

se proti 3 8.You are the manager of a stock portfolio worth $10,500,000. It has a beta of 1.15. During the next three months, you expect a correction in the market that will take the market down about 5 percent; thus, your portfolio is expected to fall about 5.75 percent (5 percent times a beta of 1.15). You wish to lower the beta to 1. An S&P500 futures contract with the appropriate expiration is priced at 415.75 with a multiplier of $500. a. Should you buy or sell futures? How many contracts should you use? b. In three months, the portfolio has fallen in value to $9,870,000. The futures has fallen to 402.35. Determine the profit and portfolio return over the quarter. How close did you come to the desired result? c. Repeat questions a. and b. when you want to lower the beta to 0