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

Schmeck MD, Schwerin S (2021)
Risks 9(5): 100.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Schmeck, Maren DianeUniBi; Schwerin, Stefan
Abstract / Bemerkung
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.
Stichworte
electricity spot prices; multi-scale mean reversion; pricing error; jumps; delivery period; swaps
Erscheinungsjahr
2021
Zeitschriftentitel
Risks
Band
9
Ausgabe
5
Art.-Nr.
100
eISSN
2227-9091
Finanzierungs-Informationen
Open-Access-Publikationskosten wurden durch die Universität Bielefeld gefördert.
Page URI
https://pub.uni-bielefeld.de/record/2954897

Zitieren

Schmeck MD, Schwerin S. The Effect of Mean-Reverting Processes in the Pricing of Options in the Energy Market: An Arithmetic Approach. Risks. 2021;9(5): 100.
Schmeck, M. D., & Schwerin, S. (2021). The Effect of Mean-Reverting Processes in the Pricing of Options in the Energy Market: An Arithmetic Approach. Risks, 9(5), 100. https://doi.org/10.3390/risks9050100
Schmeck, M. D., and Schwerin, S. (2021). The Effect of Mean-Reverting Processes in the Pricing of Options in the Energy Market: An Arithmetic Approach. Risks 9:100.
Schmeck, M.D., & Schwerin, S., 2021. The Effect of Mean-Reverting Processes in the Pricing of Options in the Energy Market: An Arithmetic Approach. Risks, 9(5): 100.
M.D. Schmeck and S. Schwerin, “The Effect of Mean-Reverting Processes in the Pricing of Options in the Energy Market: An Arithmetic Approach”, Risks, vol. 9, 2021, : 100.
Schmeck, M.D., Schwerin, S.: The Effect of Mean-Reverting Processes in the Pricing of Options in the Energy Market: An Arithmetic Approach. Risks. 9, : 100 (2021).
Schmeck, Maren Diane, and Schwerin, Stefan. “The Effect of Mean-Reverting Processes in the Pricing of Options in the Energy Market: An Arithmetic Approach”. Risks 9.5 (2021): 100.
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2021-05-19T12:49:25Z
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