please include formulas

4. A fund manager has a portfolio worth $60 million with a beta of 0.7. The manager thinks the stock market will increase significantly in the next two months and wants to increase her beta by 50% during this time. She intends to use the S&P 500 index futures contract to accomplish this. The price of the S&P futures that expires in 2 months is 4476. The current level of the S&P 500 index is 4484. The value of one futures contract equals 50 times the current level of the S&P 500. The risk-free rate is 4% per year. The S&P 500 dividend yield is 3% per year. What should the fund manager do to obtain her target beta