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Contribution Details

Type Journal Article
Scope Discipline-based scholarship
Title Model risk for European-style stock index options
Organization Unit
Authors
  • Ramazan Gençay
  • Rajna Gibson
Item Subtype Original Work
Refereed Yes
Status Published in final form
Language
  • English
Journal Title IEEE Transactions on Neural Networks
Publisher Institute of Electrical and Electronics Engineers
Geographical Reach international
ISSN 1045-9227
Volume 18
Number 1
Page Range 193 - 202
Date 2007
Abstract Text In empirical modeling, there have been two strands for pricing in the options literature, namely the parametric and nonparametric models. Often, the support for the nonparametric methods is based on a benchmark such as the Black-Scholes (BS) model with constant volatility. In this paper, we study the stochastic volatility (SV) and stochastic volatility random jump (SVJ) models as parametric benchmarks against feedforward neural network (FNN) models, a class of neural network models. Our choice for FNN models is due to their well-studied universal approximation properties of an unknown function and its partial derivatives. Since the partial derivatives of an option pricing formula are risk pricing tools, an accurate estimation of the unknown option pricing function is essential for pricing and hedging. Our findings indicate that FNN models offer themselves as robust option pricing tools, over their sophisticated parametric counterparts in predictive settings. There are two routes to explain the superiority of FNN models over the parametric models in forecast settings. These are nonnormality of return distributions and adaptive learning.
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Digital Object Identifier 10.1109/TNN.2006.883005
Other Identification Number merlin-id:5972
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