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Dynamic complex hedging in additive markets

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  • Jose Corcuera
  • Joao Guerra

Abstract

In general, geometric additive models are incomplete and the perfect replication of derivatives, in the usual sense, is not possible. In this paper we complete the market by introducing the so-called power-jump assets. Using a static hedging formula, in order to relate call options and power-jump assets, we show that this market can also be completed by considering portfolios with a continuum of call options with different strikes and the same maturity.

Suggested Citation

  • Jose Corcuera & Joao Guerra, 2010. "Dynamic complex hedging in additive markets," Quantitative Finance, Taylor & Francis Journals, vol. 10(9), pages 1023-1037.
    • Handle: RePEc:taf:quantf:v:10:y:2010:i:9:p:1023-1037
    DOI: 10.1080/14697680902960234
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    References listed on IDEAS

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    1. Goll, Thomas & Kallsen, Jan, 2000. "Optimal portfolios for logarithmic utility," Stochastic Processes and their Applications, Elsevier, vol. 89(1), pages 31-48, September.
    2. Ernst Eberlein & Jean Jacod, 1997. "On the range of options prices (*)," Finance and Stochastics, Springer, vol. 1(2), pages 131-140.
    3. Ernst Eberlein & Jean Jacod & Sebastian Raible, 2005. "Lévy term structure models: No-arbitrage and completeness," Finance and Stochastics, Springer, vol. 9(1), pages 67-88, January.
    4. José Manuel Corcuera & David Nualart & Wim Schoutens, 2005. "Completion of a Lévy market by power-jump assets," Finance and Stochastics, Springer, vol. 9(1), pages 109-127, January.
    5. P. Balland, 2002. "Deterministic implied volatility models," Quantitative Finance, Taylor & Francis Journals, vol. 2(1), pages 31-44.
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    Cited by:

    1. Artur Sepp, 2012. "An approximate distribution of delta-hedging errors in a jump-diffusion model with discrete trading and transaction costs," Quantitative Finance, Taylor & Francis Journals, vol. 12(7), pages 1119-1141, May.

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