Path Dependent Option Pricing: The Path Integral Partial Averaging Method

@article{Matacz1999PathDO,
  title={Path Dependent Option Pricing: The Path Integral Partial Averaging Method},
  author={Andrew Matacz},
  journal={Derivatives eJournal},
  year={1999}
}
  • A. Matacz
  • Published 1 November 1999
  • Mathematics
  • Derivatives eJournal
In this paper I develop a new computational method for pricing path dependent options. Using the path integral representation of the option price, I show that in general it is possible to perform analytically a partial averaging over the underlying risk-neutral diffusion process. This result greatly eases the computational burden placed on the subsequent numerical evaluation. For short-medium term options it leads to a general approximation formula that only requires the evaluation of a one… 

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