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

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.

Investigating mean reversion in financial markets using Hurst Model

“…This collective behaviour contributes to the oscillatory nature of asset prices. Supply and demand dynamics also play a crucial role in mean reversion (Schmeck & Schwerin, 2021). If the price of an asset increases above its mean level, it may incentivize increased supply or decreased demand as suppliers seek to capitalize on higher prices or buyers become more reluctant to purchase at elevated levels.…”