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I have a question about finance.The question: Show using mathematical analysis if there is an arbitrage opportunity in the following scenario. Currently the price of

I have a question about finance.The question: Show using mathematical analysis if there is an arbitrage opportunity in the following scenario. Currently the price of crude oil is $45 per barrel, the six-months futures price is $47, and the risk-free interest rate is 2%. The storage cost of oil is 3%. I really don't know what position should I use? how to calculate the final profit?

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