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Hedging error in Lévy models with a Fast Fourier Transform approach


  • Flavio Angelini
  • Marco Nicolosi


We measure, in terms of expectation and variance, the cost of hedging a contingent claim when the hedging portfolio is re-balanced at a discrete set of dates. The basic point of the methodology is to have an integral representation of the payoff of the claim, in other words to be able to write the payoff as an inverse Laplace transform. The models under consideration belong to the class of Lévy models, like NIG, VG and Merton models. The methodology is implemented through the popular FFT algorithm, used by many financial institutions for pricing and calibration purposes. As applications, we analyze the effect of increasing the number of tradings and we make some robustness tests.

Suggested Citation

  • Flavio Angelini & Marco Nicolosi, 2008. "Hedging error in Lévy models with a Fast Fourier Transform approach," Quaderni del Dipartimento di Economia, Finanza e Statistica 43/2008, Università di Perugia, Dipartimento Economia.
  • Handle: RePEc:pia:wpaper:43/2008

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    References listed on IDEAS

    1. Markus Baltzer & Lorenzo Cappiello & Roberto A. De Santis & Simone Manganelli, 2008. "Measuring financial integration in new EU member states," Occasional Paper Series 81, European Central Bank.
    2. De Santis, Roberto A. & Cappiello, Lorenzo & Baltzer, Markus & Manganelli, Simone, 2008. "Measuring financial integration in new EU Member States," Occasional Paper Series 81, European Central Bank.
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    Cited by:

    1. Flavio Angelini & Stefano Herzel, 2010. "Explicit formulas for the minimal variance hedging strategy in a martingale case," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 33(1), pages 63-79, May.
    2. Francesco Venturini, 2011. "Product variety, product quality, and evidence of Schumpeterian endogenous growth: a note," Quaderni del Dipartimento di Economia, Finanza e Statistica 93/2011, Università di Perugia, Dipartimento Economia.

    More about this item


    Hedging; Lévy models; Fast Fourier Transform;

    JEL classification:

    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques


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