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Analytical Approximation for the Price Dynamics of Spark Spread Options


  • Benth Fred E

    () (University of Oslo, Norway)

  • Saltyte-Benth Jurate

    () (Faculty of Medicine, University of Oslo and Helse Øst Health Services Research Centre, Akershus University Hospital, Norway)


This paper presents an analytic approximation for the pricing dynamics of spark spread options in terms of Fourier transforms. We propose to model the spark spread, that is, the price difference of electricity and gas, directly using a mean-reverting model with diffusion and jumps. The model is analyzed empirically, and shown to fit observed data in the UK reasonably well. The main advantage with the model is that the spark spread of electricity and gas forwards, being forwards with delivery over periods, can be priced analytically. The price dynamics for different spark spread options with electricity and gas forwards as underlying, is analytically derived through Fourier transforms. These pricing expressions allow for efficient numerical valuations via the fast Fourier transform technique.

Suggested Citation

  • Benth Fred E & Saltyte-Benth Jurate, 2006. "Analytical Approximation for the Price Dynamics of Spark Spread Options," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 10(3), pages 1-28, September.
  • Handle: RePEc:bpj:sndecm:v:10:y:2006:i:3:n:8

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    References listed on IDEAS

    1. Alvaro Cartea & Marcelo Figueroa, 2005. "Pricing in Electricity Markets: A Mean Reverting Jump Diffusion Model with Seasonality," Applied Mathematical Finance, Taylor & Francis Journals, vol. 12(4), pages 313-335.
    2. Schwartz, Eduardo S, 1997. " The Stochastic Behavior of Commodity Prices: Implications for Valuation and Hedging," Journal of Finance, American Finance Association, vol. 52(3), pages 923-973, July.
    3. Fred Espen Benth & Lars Ekeland & Ragnar Hauge & BjøRn Fredrik Nielsen, 2003. "A note on arbitrage-free pricing of forward contracts in energy markets," Applied Mathematical Finance, Taylor & Francis Journals, vol. 10(4), pages 325-336.
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    Cited by:

    1. Cartea, Álvaro & González-Pedraz, Carlos, 2012. "How much should we pay for interconnecting electricity markets? A real options approach," Energy Economics, Elsevier, vol. 34(1), pages 14-30.
    2. Wobben, Magnus & Dieckmann, Birgit & Reichmann, Oleg, 2012. "Valuation of physical transmission rights—An analysis of electricity cross-border capacities between Germany and the Netherlands," Energy Policy, Elsevier, vol. 42(C), pages 174-180.
    3. Fasen, Vicky, 2013. "Statistical estimation of multivariate Ornstein–Uhlenbeck processes and applications to co-integration," Journal of Econometrics, Elsevier, vol. 172(2), pages 325-337.

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