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Utility indifference pricing and hedging for structured contracts in energy markets

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  • Giorgia Callegaro
  • Luciano Campi
  • Valeria Giusto
  • Tiziano Vargiolu

Abstract

In this paper we study the pricing and hedging of structured products in energy markets, such as swing and virtual gas storage, using the exponential utility indifference pricing approach in a general incomplete multivariate market model driven by finitely many stochastic factors. The buyer of such contracts is allowed to trade in the forward market in order to hedge the risk of his position. We fully characterize the buyer's utility indifference price of a given product in terms of continuous viscosity solutions of suitable nonlinear PDEs. This gives a way to identify reasonable candidates for the optimal exercise strategy for the structured product as well as for the corresponding hedging strategy. Moreover, in a model with two correlated assets, one traded and one nontraded, we obtain a representation of the price as the value function of an auxiliary simpler optimization problem under a risk neutral probability, that can be viewed as a perturbation of the minimal entropy martingale measure. Finally, numerical results are provided.

Suggested Citation

  • Giorgia Callegaro & Luciano Campi & Valeria Giusto & Tiziano Vargiolu, 2014. "Utility indifference pricing and hedging for structured contracts in energy markets," Papers 1407.7725, arXiv.org, revised Feb 2016.
    • Handle: RePEc:arx:papers:1407.7725
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    References listed on IDEAS

    as
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    Cited by:

    1. Andreis, Luisa & Flora, Maria & Fontini, Fulvio & Vargiolu, Tiziano, 2020. "Pricing reliability options under different electricity price regimes," Energy Economics, Elsevier, vol. 87(C).
    2. Nadarajah, Selvaprabu & Secomandi, Nicola, 2023. "A review of the operations literature on real options in energy," European Journal of Operational Research, Elsevier, vol. 309(2), pages 469-487.
    3. Picarelli, Athena & Vargiolu, Tiziano, 2021. "Optimal management of pumped hydroelectric production with state constrained optimal control," Journal of Economic Dynamics and Control, Elsevier, vol. 126(C).

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    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General

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