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You are given the following information: One share of stock XYZ currently sells for $ 1 , 0 0 0 . The stock does not

You are given the following information:
One share of stock XYZ currently sells for $1,000.
The stock does not pay any dividends.
The annual risk-free interest rate, compounded continuously, is 5%.
You want to lock in the ability to buy this index in one year at exactly the price of $1,025. There are no futures or forwards available to you, but you can buy and/or sell European put and call options with a strike price of $1,025. Assume that there are no arbitrage opportunities. What is the cost of establishing this position?

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