IDEAS home Printed from https://ideas.repec.org/a/bla/mathfi/v30y2020i2p547-576.html
   My bibliography  Save this article

A direct solution method for pricing options in regime‐switching models

Author

Listed:
  • Masahiko Egami
  • Rusudan Kevkhishvili

Abstract

Pricing financial or real options with arbitrary payoffs in regime‐switching models is an important problem in finance. Mathematically, it is to solve, under certain standard assumptions, a general form of optimal stopping problems in regime‐switching models. In this article, we reduce an optimal stopping problem with an arbitrary value function in a two‐regime environment to a pair of optimal stopping problems without regime switching. We then propose a method for finding optimal stopping rules using the techniques available for nonswitching problems. In contrast to other methods, our systematic solution procedure is more direct as we first obtain the explicit form of the value functions. In the end, we discuss an option pricing problem, which may not be dealt with by the conventional methods, demonstrating the simplicity of our approach.

Suggested Citation

  • Masahiko Egami & Rusudan Kevkhishvili, 2020. "A direct solution method for pricing options in regime‐switching models," Mathematical Finance, Wiley Blackwell, vol. 30(2), pages 547-576, April.
    • Handle: RePEc:bla:mathfi:v:30:y:2020:i:2:p:547-576
    DOI: 10.1111/mafi.12220
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/mafi.12220
    Download Restriction: no
    File URL: https://libkey.io/10.1111/mafi.12220?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Takuji Arai & Masahiko Takenaka, 2022. "Constrained optimal stopping under a regime-switching model," Papers 2204.07914, arXiv.org.
    2. Leunglung Chan & Song-Ping Zhu, 2021. "An Analytic Approach for Pricing American Options with Regime Switching," JRFM, MDPI, vol. 14(5), pages 1-20, April.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bla:mathfi:v:30:y:2020:i:2:p:547-576. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: http://www.blackwellpublishing.com/journal.asp?ref=0960-1627 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.