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A regime-switching model with the volatility smile for two-asset European options

Authors
Kim, JunseokJeong, DaraeShin, Dong-Hoon
Issue Date
3월-2014
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Keywords
Regime-switching model; Finite difference method; Operator splitting method; Volatility smile
Citation
AUTOMATICA, v.50, no.3, pp.747 - 755
Indexed
SCIE
SCOPUS
Journal Title
AUTOMATICA
Volume
50
Number
3
Start Page
747
End Page
755
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/99236
DOI
10.1016/j.automatica.2013.12.019
ISSN
0005-1098
Abstract
In this paper, we consider a numerical European-style option pricing method under two regime-switching underlying assets depending on the market regime. For a risk neutral market condition, we consider regime-switching model with two assets using a Feynman-Kac type formula. And to solve the option problem with regime-switching model, we apply an operator splitting method. Numerical examples show the volatility smile and the volatility term structure under varying parameters on a two state regime switching model. (C) 2014 Elsevier Ltd. All rights reserved.
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