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A fund manager has a portfolio worth $ 5 0 million with a beta of 0 , 8 7 . The manager is concerned about

A fund manager has a portfolio worth $50 million with a beta of 0,87. The manager is concerned about the performance of the market over the next two months and plans to use index futures contracts on a well-diversified index to hedge its risk. The current level of the index is 1250, one contract is on 250 times the index, the risk-free rate is 6% per annum, and the dividend yield on the index is 3% per annum. The current 2 month futures price is 1259. In two months, assume the index price is 1000, and the index futures prices is 1002.5.
Suppose you sold short 138 contracts to hedge.
What is the combine gain or loss on the index futures and the manager's portfolio?
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