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Business, 18.02.2021 20:40 dragongacha777

A fund manager manager is concerned about the performance of the market over the next two months and plans to use three-month futures contracts on a well-diversified index to hedge its risk. Additional information is as follows: 1. The portfolio is worth $50 million beta with beta of 0.87.
2. The current level of the index is 1250, and one contract is on 250 times the index.
3. The risk-free rate is 6% per annum.
4. The dividend yield on the index is 3% per annum.
5. The current 3-month futures price is 1259.
(a) What position should the fund manager take to eliminate all exposure to the market over the next three months?
(b) Calculate the effect of your strategy on the fund manager?s returns if the level of the market in three months is 1,700, 1,800, 1,900, and 2,000. Assume that the one-month futures price is 0.20% lower than the index level at this time.

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