Pricing American Options Under Regime Switching Using Method of Lines

19 Pages Posted: 11 Feb 2016

See all articles by Carl Chiarella

Carl Chiarella

University of Technology, Sydney - UTS Business School, Finance Discipline Group

Christina Sklibosios Nikitopoulos

University of Technology Sydney - Business School; Financial Research Network (FIRN)

Erik Schlögl

University of Technology Sydney (UTS), Quantitative Finance Research Centre; University of Cape Town (UCT) - The African Institute of Financial Markets and Risk Management; Faculty of Science, Department of Statistics, University of Johannesburg; Financial Research Network (FIRN)

Hongang Yang

University of Technology Sydney (UTS)

Date Written: February 10, 2016

Abstract

This paper considers the American option pricing problem under regime-switching by using the method-of-lines (MOL) scheme. American option prices in each regime involve prices in all other regimes. We treat the prices from other regimes implicitly, thus guaranteeing consistency. Iterative procedures are required but very few iterative steps are needed in practice. Numerical tests demonstrate the robustness, accuracy and efficiency of the proposed numerical scheme. We compare our results with Buffington and Elliott (2002)'s analytical approximation under two regimes. Our MOL scheme provides improved results especially for out-of-the money options, possibly because they use a separation of variable approach to the PDEs which cannot hold around the early exercise region. We also compare our results with those of Khaliq and Liu (2009) and suggest that their implicit scheme can be improved.

Keywords: American option, regime switching, method of lines

JEL Classification: G13

Suggested Citation

Chiarella, Carl and Sklibosios Nikitopoulos, Christina and Schloegl, Erik and Yang, Hongang, Pricing American Options Under Regime Switching Using Method of Lines (February 10, 2016). Available at SSRN: https://ssrn.com/abstract=2731087 or http://dx.doi.org/10.2139/ssrn.2731087

Carl Chiarella

University of Technology, Sydney - UTS Business School, Finance Discipline Group ( email )

PO Box 123
Broadway, NSW 2007
Australia
+61 2 9514 7719 (Phone)
+61 2 9514 7711 (Fax)

HOME PAGE: http://www.business.uts.edu.au/finance/

Christina Sklibosios Nikitopoulos

University of Technology Sydney - Business School ( email )

15 Broadway, Ultimo
Sydney 2007, New South Wales
Australia

Financial Research Network (FIRN)

C/- University of Queensland Business School
St Lucia, 4071 Brisbane
Queensland
Australia

HOME PAGE: http://www.firn.org.au

Erik Schloegl

University of Technology Sydney (UTS), Quantitative Finance Research Centre ( email )

Ultimo
PO Box 123
Sydney, NSW 2007
Australia
+61 2 9514 2535 (Phone)

HOME PAGE: http://www.schlogl.com

University of Cape Town (UCT) - The African Institute of Financial Markets and Risk Management ( email )

Leslie Commerce Building
Rondebosch
Cape Town, Western Cape 7700
South Africa

Faculty of Science, Department of Statistics, University of Johannesburg ( email )

Auckland Park, 2006
South Africa

Financial Research Network (FIRN)

C/- University of Queensland Business School
St Lucia, 4071 Brisbane
Queensland
Australia

HOME PAGE: http://www.firn.org.au

Hongang Yang (Contact Author)

University of Technology Sydney (UTS) ( email )

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