1.A company has a $36 million portfolio with a beta of 1.2. The futures price for a contract on the S&P index is 2149. Futures contracts on $250 times the index can be traded. How many futures contracts does the company need to go long or short to reduce the beta to 0.9?

2.A company has a $36 million portfolio with a beta of 1.2. The futures price for a contract on the S&P index is 2149. Futures contracts on $250 times the index can be traded. How many futures contracts does the company need to go long or short to increase the beta to 1.8?

3.What rate of interest with continuous compounding is equivalent to 15% per annum with monthly compounding?

4.An interest rate is 15% per annum with continuous compounding. What is the equivalent rate with annual compounding?