IDEAS home Printed from https://ideas.repec.org/a/bla/mathfi/v17y2007i4p487-502.html
   My bibliography  Save this article

Callable Puts As Composite Exotic Options

Author

Listed:
  • Christoph Kühn
  • Andreas E. Kyprianou

Abstract

Introduced by Kifer (2000), game options function in the same way as American options with the added feature that the writer may also choose to exercise, at which time they must pay out the intrinsic option value of that moment plus a penalty. In Kyprianou (2004) an explicit formula was obtained for the value function of the perpetual put option of this type. Crucial to the calculations which lead to the aforementioned formula was the perpetual nature of the option. In this paper we address how to characterize the value function of the finite expiry version of this option via mixtures of other exotic options by using mainly martingale arguments.

Suggested Citation

  • Christoph Kühn & Andreas E. Kyprianou, 2007. "Callable Puts As Composite Exotic Options," Mathematical Finance, Wiley Blackwell, vol. 17(4), pages 487-502, October.
    • Handle: RePEc:bla:mathfi:v:17:y:2007:i:4:p:487-502
    DOI: 10.1111/j.1467-9965.2007.00313.x
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/j.1467-9965.2007.00313.x
    Download Restriction: no
    File URL: https://libkey.io/10.1111/j.1467-9965.2007.00313.x?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. Guo, Peidong & Zhang, Jizhou & Wang, Qian, 2020. "Path-dependent game options with Asian features," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    2. Hsuan-Ku Liu, 2013. "The pricing formula for cancellable European options," Papers 1304.5962, arXiv.org, revised Sep 2014.
    3. Alet Roux & Tomasz Zastawniak, 2016. "Game options with gradual exercise and cancellation under proportional transaction costs," Papers 1612.02312, arXiv.org.
    4. Alet Roux, 2016. "Pricing And Hedging Game Options In Currency Models With Proportional Transaction Costs," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 19(07), pages 1-25, November.
    5. Huang, Haishi, 2010. "Convertible Bonds: Risks and Optimal Strategies," Bonn Econ Discussion Papers 07/2010, University of Bonn, Bonn Graduate School of Economics (BGSE).
    6. Yagi, Kyoko & Sawaki, Katsushige, 2010. "The pricing and optimal strategies of callable warrants," European Journal of Operational Research, Elsevier, vol. 206(1), pages 123-130, October.
    7. Hsuan-Ku Liu, 2021. "Perpetual callable American volatility options in a mean-reverting volatility model," Papers 2104.01127, arXiv.org.
    8. Hertrich Markus, 2016. "The Costs of Implementing a Unilateral One-Sided Exchange Rate Target Zone," Review of Economics, De Gruyter, vol. 67(1), pages 91-120, May.
    9. Benjamin Gottesman Berdah, 2020. "Recombining tree approximations for Game Options in Local Volatility models," Papers 2007.02323, arXiv.org, revised Jul 2020.
    10. Peidong Guo & Qihong Chen & Xicai Guo & Yue Fang, 2014. "Path-dependent game options: a lookback case," Review of Derivatives Research, Springer, vol. 17(1), pages 113-124, April.
    11. Tsvetelin S. Zaevski, 2022. "Pricing cancellable American put options on the finite time horizon," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 42(7), pages 1284-1303, July.
    12. Zaevski, Tsvetelin S., 2020. "Discounted perpetual game call options," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).

    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:17:y:2007:i:4:p:487-502. 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.