Suppose you are a fund manager managing a portfolio worth $1million with Beta equal 1.5. The current index is 1000. You want to change the beta of your portfolio to 0.5 for two months by using index future with three months maturity. Each point in index future means $50. What are your actions? Two months later, the index is 1100, please evaluate total value of your portfolio. The risk-free interest rate is 5% (continuously compounded).