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Find the value of a swap contract where an oil refinery receives monthly the spot value of N barrels of oil during 12 months

 

Find the value of a swap contract where an oil refinery receives monthly the spot value of N barrels of oil during 12 months in return for a fixed payment of X per barrel. Assume there are no storage costs and the current value of a barrel of oil is So and the annual risk-free rate is r with discrete compounding.

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