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Exploding hedging errors for digital options

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Author Info

  • Christoph Gallus

    (Deutsche Bank AG, Equities, Global Equity Derivatives, D-60325 Frankfurt am Main, Germany Manuscript)

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    Abstract

    In the complete market model of geometric Brownian motion, all kinds of exotic options can be priced and hedged perfectly using a delta hedging strategy which duplicates the option's payoff. If trading takes place in a frictionless market, this delta hedging strategy is said to eliminate the option writer's risk completely. It will be shown that for certain contingent claims, for example digital options, the hedge can fail completely if the underlying risky asset does not follow the assumed geometric Brownian motion. Indeed, the hedging error may diverge and delta hedging can actually increase the risk of the option writer.

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    File URL: http://link.springer.de/link/service/journals/00780/papers/9003002/90030187.pdf
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    Bibliographic Info

    Article provided by Springer in its journal Finance and Stochastics.

    Volume (Year): 3 (1999)
    Issue (Month): 2 ()
    Pages: 187-201

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    Handle: RePEc:spr:finsto:v:3:y:1999:i:2:p:187-201

    Note: received: October 1996; final version received: February 1998
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    Web page: http://www.springerlink.com/content/101164/

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    Related research

    Keywords: Option pricing; digital option hedging; hedging error;

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    Cited by:
    1. Dell'Era Mario, M.D., 2008. "Pricing of Double Barrier Options by Spectral Theory," MPRA Paper 17502, University Library of Munich, Germany.
    2. Dell'Era Mario, M.D., 2008. "Pricing of the European Options by Spectral Theory," MPRA Paper 17429, University Library of Munich, Germany.
    3. Meyer, Thomas O., 2003. "Calculation and comparison of delta-neutral and multiple-Greek dynamic hedge returns inclusive of market frictions," International Review of Economics & Finance, Elsevier, vol. 12(2), pages 207-235.

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