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Weak Convergence of Hedging Strategies of Contingent Claims

Author

Listed:
  • Jean-Luc PRIGENT

    (Thema, Université de Cergy-Pontoise)

  • Olivier SCAILLET

    (HEC Genève and FAME)

Abstract

This paper presents results on the convergence for hedging strategies in the setting of incomplete financial markets. We examine the convergence of the so-called locally risk-minimizing strategy. It is proved that such a choice for the trading strategy, when perfect hedging of contingent claims is infeasible, is robust under weak convergence. Several fundamental examples, such as trinomial trees and stochastic volatility models, extracted from the financial modeling literature illustrate this property for both deterministic and random time intervals shrinking to zero.

Suggested Citation

  • Jean-Luc PRIGENT & Olivier SCAILLET, 2002. "Weak Convergence of Hedging Strategies of Contingent Claims," FAME Research Paper Series rp39, International Center for Financial Asset Management and Engineering.
    • Handle: RePEc:fam:rpseri:rp39
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    Cited by:

    1. Badescu, Alexandru & Elliott, Robert J. & Ortega, Juan-Pablo, 2014. "Quadratic hedging schemes for non-Gaussian GARCH models," Journal of Economic Dynamics and Control, Elsevier, vol. 42(C), pages 13-32.
    2. Alexandru Badescu & Robert J. Elliott & Juan-Pablo Ortega, 2012. "Quadratic hedging schemes for non-Gaussian GARCH models," Papers 1209.5976, arXiv.org, revised Dec 2013.
    3. Alexandre Adam & Hamza Cherrat & Mohamed Houkari & Jean-Paul Laurent & Jean-Luc Prigent, 2022. "On the risk management of demand deposits: quadratic hedging of interest rate margins," Annals of Operations Research, Springer, vol. 313(2), pages 1319-1355, June.
    4. Badescu, Alexandru & Elliott, Robert J. & Ortega, Juan-Pablo, 2015. "Non-Gaussian GARCH option pricing models and their diffusion limits," European Journal of Operational Research, Elsevier, vol. 247(3), pages 820-830.
    5. Maciej Augustyniak & Alexandru Badescu, 2021. "On the computation of hedging strategies in affine GARCH models," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 41(5), pages 710-735, May.

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