Review of Quantitative Finance and Accounting

, Volume 26, Issue 1, pp 55–66

The GARCH Option Pricing Model: A Modification of Lattice Approach

Article

DOI: 10.1007/s11156-006-7033-2

Cite this article as:
Wu, CC. Rev Quant Finan Acc (2006) 26: 55. doi:10.1007/s11156-006-7033-2

Abstract

Ritchken and Trevor (1999) proposed a lattice approach for pricing American options under discrete time-varying volatility GARCH frameworks. Even though the lattice approach worked well for the pricing of the GARCH options, it was inappropriate when the option price was computed on the lattice using standard backward recursive procedures, even if the concepts of Cakici and Topyan (2000) were incorporated. This paper shows how to correct the deficiency and that with our adjustment, the lattice method performs properly for option pricing under the GARCH process.

Key Words

GarchAmerican optionslattice algorithmtrinomial trees.

Copyright information

© Springer Science + Business Media, Inc. 2006

Authors and Affiliations

  1. 1.Department of International TradeChung Yuan UniversityChung-LiTaiwan