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25 April 2024 |
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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 | Abstract: | We 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 | Services: | Forum | Review | PDF | Favorites |
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