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The Effect of Mean-Reverting Processes in the Pricing of Options in the Energy Market: An Arithmetic Approach

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  • Maren Diane Schmeck

    (Center for Mathematical Economics, Bielefeld University, 33615 Bielefeld, Germany
    These authors contributed equally to this work.)

  • Stefan Schwerin

    (Independent Researcher, 51065 Cologne, Germany
    These authors contributed equally to this work.)

Abstract

In this paper we study the effect that mean-reverting components in the arithmetic dynamics of electricity spot price have on the price of a call option on a swap. Our model allows for seasonal effects, spikes, and negative values of the price of electricity. We show that for sufficiently large delivery periods of the swap contract, the error that one makes by neglecting some of the mean-reverting processes affecting the spot price evolution converges to zero. The decay rate is explicitly calculated. This is achieved by exploiting the additive structure of the electricity price process in order to determine an explicit closed-form formula for the price of the call on a swap. The theoretical analysis is then illustrated via a numerical example.

Suggested Citation

  • Maren Diane Schmeck & Stefan Schwerin, 2021. "The Effect of Mean-Reverting Processes in the Pricing of Options in the Energy Market: An Arithmetic Approach," Risks, MDPI, vol. 9(5), pages 1-19, May.
    • Handle: RePEc:gam:jrisks:v:9:y:2021:i:5:p:100-:d:557359
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    References listed on IDEAS

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    1. Piccirilli, Marco & Schmeck, Maren Diane & Vargiolu, Tiziano, 2021. "Capturing the power options smile by an additive two-factor model for overlapping futures prices," Energy Economics, Elsevier, vol. 95(C).
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