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Contribution Details

Type Master's Thesis
Scope Discipline-based scholarship
Title Expansion Based Methods for Pricing Financial Options
Organization Unit
Authors
  • Yaqi Chen
Supervisors
  • Erich Walter Farkas
  • Ciprian Necula
Language
  • English
Institution University of Zurich
Faculty Faculty of Business, Economics and Informatics
Number of Pages 39
Date 2020
Abstract Text This paper focuses on the Edgeworth expansions for financial option valuation using Hermite polynomials and logistic polynomials with the calibration of S&P 500 index option data. Our approach expresses the value of an option by replicating an infinite series of polynomials, whose coefficients are composed of variance, skewness, kurtosis, and higher moments of the underlying density distribution. This new formula is a computationally convenient alternative compared with Fourier transform method. Our analysis establishes two different tail conditions in order to work with the convergence of different series. Hermite series diverges for fat-tailed distributions while logistic series converges. In this paper, Heston (1993) model is applied and calibrated on S&P 500 index option data. All the MATLAB codes to achieve the model is contained in the appendix.
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