Variance Optimal Hedging for discrete time processes with independent increments. Application to Electricity Markets

Stéphane Goutte 1 Nadia Oudjane 1, 2 Francesco Russo 3, 4, *
* Corresponding author
3 MATHFI - Financial mathematics
Inria Paris-Rocquencourt, ENPC - École des Ponts ParisTech, UPEC UP12 - Université Paris-Est Créteil Val-de-Marne - Paris 12
Abstract : We consider the discretized version of a (continuous-time) two-factor model introduced by Benth and coauthors for the electricity markets. For this model, the underlying is the exponent of a sum of independent random variables. We provide and test an algorithm, which is based on the celebrated Foellmer-Schweizer decomposition for solving the mean-variance hedging problem. In particular, we establish that decomposition explicitely, for a large class of vanilla contingent claims. Interest is devoted in the choice of rebalancing dates and its impact on the hedging error, regarding the payoff regularity and the non stationarity of the log-price process.
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https://hal.inria.fr/inria-00473032
Contributor : Francesco Russo <>
Submitted on : Thursday, May 17, 2012 - 11:28:32 PM
Last modification on : Wednesday, November 20, 2019 - 2:12:19 AM
Long-term archiving on: Saturday, August 18, 2012 - 2:25:24 AM

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  • HAL Id : inria-00473032, version 2
  • ARXIV : 1205.4089

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Stéphane Goutte, Nadia Oudjane, Francesco Russo. Variance Optimal Hedging for discrete time processes with independent increments. Application to Electricity Markets. 2012. ⟨inria-00473032v2⟩

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