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A path-independent method for barrier option pricing in hidden Markov models

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  • Rashidi Ranjbar, Hedieh
  • Seifi, Abbas

Abstract

This paper presents a method for barrier option pricing under a Black–Scholes model with Markov switching. We extend the option pricing method of Buffington and Elliott to price continuously monitored barrier options under a Black–Scholes model with regime switching. We use a regime switching random Esscher transform in order to determine an equivalent martingale pricing measure, and then solve the resulting multidimensional integral for pricing barrier options. We have calculated prices for down-and-out call options under a two-state hidden Markov model using two different Monte-Carlo simulation approaches and the proposed method. A comparison of the results shows that our method is faster than Monte-Carlo simulation methods.

Suggested Citation

  • Rashidi Ranjbar, Hedieh & Seifi, Abbas, 2015. "A path-independent method for barrier option pricing in hidden Markov models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 440(C), pages 1-8.
    • Handle: RePEc:eee:phsmap:v:440:y:2015:i:c:p:1-8
    DOI: 10.1016/j.physa.2015.08.003
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    Cited by:

    1. Godin, Frédéric & Lai, Van Son & Trottier, Denis-Alexandre, 2019. "Option pricing under regime-switching models: Novel approaches removing path-dependence," Insurance: Mathematics and Economics, Elsevier, vol. 87(C), pages 130-142.
    2. Gong, Xiaoli & Zhuang, Xintian, 2016. "Option pricing for stochastic volatility model with infinite activity Lévy jumps," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 455(C), pages 1-10.
    3. Frédéric Godiny & Van Son Lai & Denis-Alexandre Trottier, 2019. "Option Pricing Under Regime-Switching Models: Novel Approaches Removing Path-Dependence," Working Papers 2019-014, Department of Research, Ipag Business School.

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