IDEAS home Printed from https://ideas.repec.org/a/taf/apmtfi/v11y2004i3p207-225.html
   My bibliography  Save this article

Pricing American currency options in an exponential Levy model

Author

Listed:
  • Marc Chesney
  • M. Jeanblanc

Abstract

In this article the problem of the American option valuation in a Levy process setting is analysed. The perpetual case is first considered. Without possible discontinuities (i.e. with negative jumps in the call case), known results concerning the currency option value as well as the exercise boundary are obtained with a martingale approach. With possible discontinuities of the underlying process at the exercise boundary (i.e. with positive jumps in the call case), original results are derived by relying on first passage time and overshoot associated with a Levy process. For finite life American currency calls, the formula derived by Bates or Zhang, in the context of a negative jump size, is tested. It is basically an extension of the one developed by Mac Millan and extended by Barone-Adesi and Whaley. It is shown that Bates' model generates pretty good results only when the process is continuous at the exercise boundary.

Suggested Citation

  • Marc Chesney & M. Jeanblanc, 2004. "Pricing American currency options in an exponential Levy model," Applied Mathematical Finance, Taylor & Francis Journals, vol. 11(3), pages 207-225.
  • Handle: RePEc:taf:apmtfi:v:11:y:2004:i:3:p:207-225
    DOI: 10.1080/1350486042000249336
    as

    Download full text from publisher

    File URL: http://www.tandfonline.com/doi/abs/10.1080/1350486042000249336
    Download Restriction: Access to full text is restricted to subscribers.

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

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


    Cited by:

    1. Barrieu, Pauline & Bellamy, N., 2007. "Optimal hitting time and perpetual option in a non-Lévy model: application to real options," LSE Research Online Documents on Economics 5099, London School of Economics and Political Science, LSE Library.
    2. Medvedev, Alexey & Scaillet, Olivier, 2010. "Pricing American options under stochastic volatility and stochastic interest rates," Journal of Financial Economics, Elsevier, vol. 98(1), pages 145-159, October.
    3. Marc Chesney & Pierre Lasserre & Bruno Troja, 2016. "Mitigating Global Warming: A Real Option Approach," CIRANO Working Papers 2016s-34, CIRANO.
    4. L. Alili & A. E. Kyprianou, 2005. "Some remarks on first passage of Levy processes, the American put and pasting principles," Papers math/0508487, arXiv.org.
    5. Marzia De Donno & Zbigniew Palmowski & Joanna Tumilewicz, 2017. "Double continuation regions for American and Swing options with negative discount rate in L\'evy models," Papers 1801.00266, arXiv.org.
    6. repec:spr:annopr:v:255:y:2017:i:1:d:10.1007_s10479-016-2258-5 is not listed on IDEAS
    7. Leippold, Markus & Vasiljević, Nikola, 2017. "Pricing and disentanglement of American puts in the hyper-exponential jump-diffusion model," Journal of Banking & Finance, Elsevier, vol. 77(C), pages 78-94.
    8. repec:sbe:breart:v:28:y:2008:i:1:a:1519 is not listed on IDEAS

    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:taf:apmtfi:v:11:y:2004:i:3:p:207-225. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Chris Longhurst). General contact details of provider: http://www.tandfonline.com/RAMF20 .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.