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Measuring the error of dynamic hedging: a Laplace transform approach

  • Flavio Angelini
  • Stefano Herzel

We compute the expected value and the variance of the discretization error of delta hedging and of other strategies in the presence of proportional transaction costs. The method, based on Laplace transform, applies to a fairly general class of models, including Black-Scholes, Merton's jump-diffusion and Normal Inverse Gaussian. The results obtained are not asymptotical approximations but exact and efficient formulas, valid for any number of trading dates. They can also be employed under model mispecification, to measure the influence of model risk on a hedging strategy.

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Paper provided by Università di Perugia, Dipartimento Economia in its series Quaderni del Dipartimento di Economia, Finanza e Statistica with number 33/2007.

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Length: 31
Date of creation: 01 Aug 2007
Date of revision:
Handle: RePEc:pia:wpaper:33/2007
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