The aim of this paper is to deal with the optimal choice between extraction and storage of crude oil during time under a large panel of constraints for a fixed maturity T. We consider a manager that owns an oil field from which he can extract oil and decide to sell or to store it. This...

This paper introduces the Inverse Gamma (IGa) stochastic volatility model with time-dependent parameters, defined by the volatility dynamics dVt = κt.(θt − Vt).dt λt.Vt.dBt. This non-affine model is much more realistic than classical affine models like the Heston stochastic volatility...