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On July 1, an investor holds 50,000 shares of a certain stock. The market price is $29 per share. The investor is interested in hedging

On July 1, an investor holds 50,000 shares of a certain stock. The market price is $29 per share. The investor is interested in hedging against movements in the market over the next month and decides to use the September Mini S&P 500 futures contract. The index futures price is 1,881 and one contract is for delivery of $50 times the index. The beta of the stock is 1.3. How many futures contract does he have to purchase?

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