IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2503.01040.html
   My bibliography  Save this paper

Pricing time-capped American options using Least Squares Monte Carlo method

Author

Listed:
  • Pawe{l} Stc{e}pniak
  • Zbigniew Palmowski

Abstract

In this paper, we adopt the least squares Monte Carlo (LSMC) method to price time-capped American options. The aforementioned cap can be an independent random variable or dependent on asset price at random time. We allow various time caps. In particular, we give an algorithm for pricing the American options capped by the first drawdown epoch. We focus on the geometric L\'evy market. We prove that our estimator converges to the true price as one takes the discretisation step tending to zero and the number of trajectories going to infinity.

Suggested Citation

  • Pawe{l} Stc{e}pniak & Zbigniew Palmowski, 2025. "Pricing time-capped American options using Least Squares Monte Carlo method," Papers 2503.01040, arXiv.org.
    • Handle: RePEc:arx:papers:2503.01040
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2503.01040
    File Function: Latest version
    Download Restriction: no
    ---><---

    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:arx:papers:2503.01040. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.