IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/7020.html
   My bibliography  Save this paper

The Impact of Return Nonnormality on Exchange Options

Author

Listed:
  • Li, Minqiang

Abstract

The Margrabe formula is used extensively by theorists and practitioners not only on exchange options, but also on executive compensation schemes, real options, weather and commodity derivatives, etc. However, the crucial assumption of a bivariate normal distribution is not fully satisfied in almost all applications. The impact of nonnormality on exchange options is studied by using a bivariate Gram-Charlier approximation. For near-the-money exchange options, skewness and coskewness induce price corrections which are linear in moneyness, while kurtosis and cokurtosis induce quadratic price corrections. The nonnormality helps to explain the implied correlation smile observed in practice.

Suggested Citation

  • Li, Minqiang, 2007. "The Impact of Return Nonnormality on Exchange Options," MPRA Paper 7020, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:7020
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/7020/1/MPRA_paper_7020.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    Other versions of this item:

    Citations

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


    Cited by:

    1. Edward P. C. Kao & Weiwei Xie, 2017. "Pricing spread options by generalized bivariate edgeworth expansion," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 4(02n03), pages 1-30, June.
    2. Oprea Otilia-Roxana, 2017. "The Effects Of The Economic Crisis On European Financial Integration And Economic Growth," Annals - Economy Series, Constantin Brancusi University, Faculty of Economics, vol. 4, pages 256-264, August.
    3. Minqiang Li & Jieyun Zhou & Shi-Jie Deng, 2010. "Multi-asset spread option pricing and hedging," Quantitative Finance, Taylor & Francis Journals, vol. 10(3), pages 305-324.
    4. Minqiang Li & Kyuseok Lee, 2011. "An adaptive successive over-relaxation method for computing the Black-Scholes implied volatility," Quantitative Finance, Taylor & Francis Journals, vol. 11(8), pages 1245-1269.
    5. Kwangil Bae & Jangkoo Kang & Hwa‐Sung Kim, 2018. "Call options with concave payoffs: An application to executive stock options," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 38(8), pages 943-957, August.
    6. Karine Constant & Natacha Raffin, 2016. "Environnement, croissance et inégalités : le rôle particulier du canal de la santé," Revue française d'économie, Presses de Sciences-Po, vol. 0(3), pages 9-29.
    7. Li, Minqiang, 2008. "Closed-Form Approximations for Spread Option Prices and Greeks," MPRA Paper 6994, University Library of Munich, Germany.
    8. Karine Constant & Natacha Raffin, 2016. "Environnement, croissance et inégalités : le rôle particulier du canal de la santé," Revue française d'économie, Presses de Sciences-Po, vol. 0(3), pages 9-29.
    9. Kwangil Bae, 2019. "Valuation and applications of compound basket options," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 39(6), pages 704-720, June.

    More about this item

    JEL classification:

    • C00 - Mathematical and Quantitative Methods - - General - - - General
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:pra:mprapa:7020. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    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.