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

  • St\'ephane Goutte

    (LAGA)

  • Nadia Oudjane

    (LAGA)

  • Francesco Russo

    (CERMICS, INRIA Rocquencourt, UMA)

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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File URL: http://arxiv.org/pdf/1205.4089
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Paper provided by arXiv.org in its series Papers with number 1205.4089.

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Date of creation: May 2012
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Handle: RePEc:arx:papers:1205.4089
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  1. Flavio Angelini & Stefano Herzel, 2007. "Explicit formulas for the minimal variance hedging strategy in a martingale case," Quaderni del Dipartimento di Economia, Finanza e Statistica 35/2007, Università di Perugia, Dipartimento Economia.
  2. Ales Cerny, 2004. "Dynamic programming and mean-variance hedging in discrete time," Applied Mathematical Finance, Taylor & Francis Journals, vol. 11(1), pages 1-25.
  3. Flavio Angelini & Stefano Herzel, 2007. "Measuring the error of dynamic hedging: a Laplace transform approach," Quaderni del Dipartimento di Economia, Finanza e Statistica 33/2007, Università di Perugia, Dipartimento Economia.
  4. Cox, John C. & Ross, Stephen A. & Rubinstein, Mark, 1979. "Option pricing: A simplified approach," Journal of Financial Economics, Elsevier, vol. 7(3), pages 229-263, September.
  5. Fred Espen Benth & Jan Kallsen & Thilo Meyer-Brandis, 2007. "A Non-Gaussian Ornstein-Uhlenbeck Process for Electricity Spot Price Modeling and Derivatives Pricing," Applied Mathematical Finance, Taylor & Francis Journals, vol. 14(2), pages 153-169.
  6. Ales Čern�, 2007. "Optimal Continuous-Time Hedging With Leptokurtic Returns," Mathematical Finance, Wiley Blackwell, vol. 17(2), pages 175-203.
  7. St\'ephane Goutte & Nadia Oudjane & Francesco Russo, 2009. "Variance Optimal Hedging for continuous time processes with independent increments and applications," Papers 0912.0372, arXiv.org.
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