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Option pricing under regime-switching models: Novel approaches removing path-dependence

Title:

Option pricing under regime-switching models: Novel approaches removing path-dependence

Godin, Frédéric, Lai, Van Son and Trottier, Denis-Alexandre (2019) Option pricing under regime-switching models: Novel approaches removing path-dependence. Insurance: Mathematics and Economics . ISSN 01676687 (In Press)

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Official URL: http://dx.doi.org/10.1016/j.insmatheco.2019.04.006

Abstract

A well-known approach for the pricing of options under regime-switching models is to use the regime-switching Esscher transform (also called regime-switching mean-correcting martingale measure) to obtain risk-neutrality. One way to handle regime unobservability consists in using regime probabilities that are filtered under this risk-neutral measure to compute risk-neutral expected payoffs. The current paper shows that this natural approach creates path-dependence issues within option price dynamics. Indeed, since the underlying asset price can be embedded in a Markov process under the physical measure even when regimes are unobservable, such path-dependence behavior of vanilla option prices is puzzling and may entail non-trivial theoretical features (e.g., time non-separable preferences) in a way that is difficult to characterize. This work develops novel and intuitive risk-neutral measures that can incorporate regime risk-aversion in a simple fashion and which do not lead to such path-dependence side effects. Numerical schemes either based on dynamic programming or Monte-Carlo simulations to compute option prices under the novel risk-neutral dynamics are presented.

Divisions:Concordia University > Faculty of Arts and Science > Mathematics and Statistics
Item Type:Article
Refereed:Yes
Authors:Godin, Frédéric and Lai, Van Son and Trottier, Denis-Alexandre
Journal or Publication:Insurance: Mathematics and Economics
Date:30 April 2019
Digital Object Identifier (DOI):10.1016/j.insmatheco.2019.04.006
Keywords:Option pricing; Regime-switching models; Hidden Markov models; Esscher transform; Path-dependence
ID Code:985344
Deposited By: Michael Biron
Deposited On:17 May 2019 17:17
Last Modified:16 Apr 2021 01:00

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