Parametrix approximations for option prices

Corielli, Francesco ; Pascucci, Andrea (2007) Parametrix approximations for option prices. [Preprint]

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Abstract

We propose the use of a classical tool in PDE theory, the parametrix method, to build approximate solutions to generic parabolic models for pricing and hedging contingent claims. We obtain an expansion for the price of an option using as starting point the classical Black\&Scholes formula. The approximation can be truncated to any number of terms and easily computable error measures are available.

Abstract

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