We establish an explicit pricing formula for a class of non-Gaussian models (the Levy-stable, or Log-Levy model with finite moments and stability parameter between 1 and 2) allowing a straightforward evaluation of an European option, without numerical simulations and with as much accuracy as one wishes. The formula can be used by any practitioner, even if not familiar with the underlying multidimensional residue theory. We make some practical examples and also introduce extensions to other Levy-related models.
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