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Pricing of perpetual Bermudan options

Author

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  • S. I. Boyarchenko
  • S. Z. Levendorskii

Abstract

We consider perpetual Bermudan options and more general perpetual American options in discrete time. For wide classes of processes and pay-offs, we obtain exact analytical pricing formulae in terms of the factors in the Wiener-Hopf factorization formulae. Under additional conditions on the process, we derive simpler approximate formulae.

Suggested Citation

  • S. I. Boyarchenko & S. Z. Levendorskii, 2002. "Pricing of perpetual Bermudan options," Quantitative Finance, Taylor & Francis Journals, vol. 2(6), pages 432-442.
    • Handle: RePEc:taf:quantf:v:2:y:2002:i:6:p:432-442
    DOI: 10.1080/14697688.2002.0000010
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    Citations

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    Cited by:

    1. Boyarchenko, Svetlana & Levendorskii[caron], Sergei, 2007. "Optimal stopping made easy," Journal of Mathematical Economics, Elsevier, vol. 43(2), pages 201-217, February.
    2. Carolyn E. Phelan & Daniele Marazzina & Guido Germano, 2021. "Pricing methods for $\alpha$-quantile and perpetual early exercise options based on Spitzer identities," Papers 2106.06030, arXiv.org.
    3. San‐Lin Chung & Jr‐Yan Wang, 2018. "A simple iteration algorithm to price perpetual Bermudan options under the lognormal jump‐diffusion‐ruin process," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 38(8), pages 898-924, August.
    4. Fusai, Gianluca & Germano, Guido & Marazzina, Daniele, 2016. "Spitzer identity, Wiener-Hopf factorization and pricing of discretely monitored exotic options," European Journal of Operational Research, Elsevier, vol. 251(1), pages 124-134.
    5. Svetlana Boyarchenko & Sergei Levendorski&icaron;, 2007. "Practical Guide To Real Options In Discrete Time," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 48(1), pages 311-342, February.
    6. Svetlana Boyarchenko & Sergei Levendorskiu{i}, 2022. "Efficient inverse $Z$-transform and pricing barrier and lookback options with discrete monitoring," Papers 2207.02858, arXiv.org, revised Jul 2022.
    7. Yoshifumi Muroi & Takashi Yamada, 2008. "An Explicit Finite Difference Approach to the Pricing Problems of Perpetual Bermudan Options," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 15(3), pages 229-253, December.
    8. Svetlana Boyarchenko & Sergei Levendorskiu{i}, 2023. "Efficient inverse $Z$-transform: sufficient conditions," Papers 2305.10725, arXiv.org.
    9. Maximilian Ga{ss} & Kathrin Glau & Maximilian Mair, 2015. "Magic points in finance: Empirical integration for parametric option pricing," Papers 1511.00884, arXiv.org, revised Nov 2016.

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