• Media type: E-Article
  • Title: Maximum entropy evaluation of asymptotic hedging error under a generalised jump-diffusion model
  • Contributor: Fard, Farzad Alavi [Author]; Doko Tchatoka, Firmin [Author]; Sriananthakumar, Sivagowry [Author]
  • imprint: Basel: MDPI, 2021
  • Language: English
  • DOI: https://doi.org/10.3390/jrfm14030097
  • ISSN: 1911-8074
  • Keywords: maximum entropy density ; G13 ; generalised jump ; asymptotic hedging error ; C13 ; esscher transform ; expected shortfall ; kernel biased ; C51 ; value-at-risk
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  • Description: In this paper we propose a maximum entropy estimator for the asymptotic distribution of the hedging error for options. Perfect replication of financial derivatives is not possible, due to market incompleteness and discrete-time hedging. We derive the asymptotic hedging error for options under a generalised jump-diffusion model with kernel bias, which nests a number of very important processes in finance. We then obtain an estimation for the distribution of hedging error by maximising Shannon's entropy subject to a set of moment constraints, which in turn yields the value-at-risk and expected shortfall of the hedging error. The significance of this approach lies in the fact that the maximum entropy estimator allows us to obtain a consistent estimate of the asymptotic distribution of hedging error, despite the non-normality of the underlying distribution of returns.
  • Access State: Open Access
  • Rights information: Attribution (CC BY)