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25 April 2024
 
  » arxiv » 0911.4859

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On the Performance of Delta Hedging Strategies in Exponential L'evy Models
Stephan Denkl ; Martina Goy ; Jan Kallsen ; Johannes Muhle-Karbe ; Arnd Pauwels ;
Date 25 Nov 2009
AbstractWe consider the performance of non-optimal hedging strategies in exponential L’evy models. Given that both the payoff of the contingent claim and the hedging strategy admit suitable integral representations, we use the Laplace transform approach of Hubalek et al. to derive semi-explicit formulas for the resulting mean squared hedging error in terms of the cumulant generating function of the underlying L’evy process. In a numerical example, we apply these results to compare the efficiency of the Black-Scholes delta hedge to the mean-variance optimal hedge in a normal inverse Gaussian L’evy model.
Source arXiv, 0911.4859
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