• DocumentCode
    19428
  • Title

    A Smoothed Perturbation Analysis of Parisian Options

  • Author

    Heidergott, Bernd ; Leahu, Haralambie ; Volk-Makarewicz, Warren M.

  • Author_Institution
    Dept. of Econ., Vrije Univ., Amsterdam, Netherlands
  • Volume
    60
  • Issue
    2
  • fYear
    2015
  • fDate
    Feb. 2015
  • Firstpage
    469
  • Lastpage
    474
  • Abstract
    In this technical note we provide a smoothed perturbation analysis (SPA) estimator of the sensitivity of a discrete time Parisian option with respect to the barrier level. The analysis put forward is of interest in a broader context than that of exotic options as we provide an SPA analysis for a problem where the critical event for the SPA estimator is based on an entire sample path, which is a novelty in the literature. Numerical examples illustrate the performance of the estimator.
  • Keywords
    perturbation theory; pricing; sensitivity analysis; SPA analysis; SPA estimator; discrete time Parisian option; exotic options; smoothed perturbation analysis; Contracts; Estimation; Monte Carlo methods; Sensitivity; Silicon; Standards; Tin; Option pricing; Parisian option; sensitivity analysis; smoothed perturbation analysis;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2014.2326717
  • Filename
    6820745