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The main purpose of this paper is to provide a mathematical model for oil future contracts. The study basis has put on the Schwartz Model (1997), but it is clear that with the small change, it is applicable for Iranian Oil Industry Futures. The Schwartz Model has considered only short jumps in the prices, but with recent oil price volatilities having significant effects on oil properties, it is necessary to include both short and long jumps in the model. According to these conditions, the model designed results in a complicated mathematical problem, which forms a Partial Differential Equation (DPE) having integral terms, and boundary and initial conditions. There is no closed solution for such equation. Thus, it should be solved by numerical methods. In the other hand, there is no access to real data for Iranian Oil Market, so we used a simulation model, but it will be possible to use an applied model in Iranian Oil Industry with real data in the future. 

Keywords: Oil Futures, Oil Industry Derivatives, Convenience Yields, Financial Mathematics, Mathematical Models

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