QUESTION 3 (a) You have a well-diversified stock portfolio valued at $90,000,000 with a beta of 1.30. CME S\&P 500 put index March option contracts with strike price of 4440 and delta of 0.80 are available. The value of one full index point is $250. How many put option contracts will you need to long or short to hedge your portfolio position in case you are concerned that markets may decline in next few months? (2 marks) (b) Assume that you have a $50m well-diversified portfolio. The March index futures are quoted at 4531 and the S\&P 500 index is at 4589. The portfolio's beta is 0.90. The value of one full index point is \$250. (i) You are worried that release of further bad news about high inflation in the US may reduce the value of your portfolio. How many index futures contracts would you need to long or short to hedge your portfolio? (3 marks) (b) Assume that you have a $50m well-diversified portfolio. The March index futures are quoted at 4531 and the S\&P 500 index is at 4589. The portfolio's beta is 0.90. The value of one full index point is $250. (i) You are worried that release of further bad news about high inflation in the US may reduce the value of your portfolio. How many index futures contracts would you need to long or short to hedge your portfolio? (3 marks) (ii) Assume, that after taking positions in S\&P500 index, the markets fell by 2%. What is the gain or loss on the portfolio and futures? Assume that there are no margin requirements, and that settle price of March futures contracts is 4442 . (5 marks) (c) You anticipate that $50,000 worth shares of Pineapple that you own are likely to fall in value as you expect lower earnings announcement by the company's management. If you write 700 calls with a delta of 0.310 and buy 400 puts with a delta of 0.065, what is your net position assuming zero transaction costs? Assume that the multiplier is $250. (10 marks) (Total 20 Marks) END OF QUESTION 3