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Contribution Details

Type Working Paper
Scope Discipline-based scholarship
Title Closed form option pricing under generalized hermite expansions
Organization Unit
Authors
  • Gabriel Grigore Drimus
  • Ciprian Necula
  • Erich Walter Farkas
Language
  • English
Institution University of Zurich
Series Name SSRN
Number 2349868
ISSN 1556-5068
Number of Pages 15
Date 2013
Abstract Text In this article, we generalize the classical Edgeworth series expansion used in the option pricing literature. We obtain a closed-form pricing formula for European options by employing a generalized Hermite expansion for the risk neutral density. The main advantage of the generalized expansion is that it can be applied to heavy-tailed return distributions, a case for which the standard Edgeworth expansions are not suitable. We also show how the expansion coefficients can be inferred directly from market option prices.
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Keywords European options, generalized Hermite series expansion, calibration