On September 1, an investor holds 10,000 shares of a certain stock. The market price...

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Finance

On September 1, an investor holds 10,000 shares of a certain stock. The market price is $62.50 per share. The investor is interested in hedging against movements in the market over the next month and decides to use the September S&P 500 futures contract. The futures price on the index is currently 1,000 and one contract is for delivery of $250 times the index. The beta of the stock is 0.8. Using the information above, answer the following questions:

i) With a hedging motive, which position should the investor take in S&P500 futures and in how many contracts?

ii) If the market goes down and the index settles at 750 next month, what will be the gain/loss on the investors stock portfolio?

Will her futures position help her recover the loss? Explain through relevant computations.

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