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We propose a model for the description and the forecast of the gross prices of electricity in the liberalized Italian energy market via an additive two-factor model driven by both a Hawkes and a fractional Brownian processes. We discuss the…

Applications · Statistics 2024-08-27 Luca M. Giordano , Daniela Morale

This paper analyzes stability conditions for wholesale electricity markets under real-time retail pricing and realistic consumption models with memory, which explicitly take into account previous electricity prices and consumption levels.…

Systems and Control · Computer Science 2017-02-21 Datong P. Zhou , Mardavij Roozbehani , Munther A. Dahleh , Claire J. Tomlin

We introduce a non-Markovian model for electricity markets where the spot price of electricity is driven by several Gaussian Volterra processes, which can be e.g., fractional Brownian motions (fBms), Riemann-Liouville processes or…

Probability · Mathematics 2024-10-22 Yuliya Mishura , Stefania Ottaviano , Tiziano Vargiolu

This article presents a generic framework for modeling the dynamics of forward curves in commodity market as commodity derivatives are typically traded by futures or forwards. We have theoretically demonstrated that commodity prices are…

Pricing of Securities · Quantitative Finance 2026-02-26 David Xiao

The liberalization of electricity markets and the development of renewable energy sources has led to new challenges for decision makers. These challenges are accompanied by an increasing uncertainty about future electricity price movements.…

Applications · Statistics 2018-09-12 Florian Ziel , Rick Steinert

We consider a 2-dimensional marked Hawkes process with increasing baseline intensity in order to model prices on electricity intraday markets. This model allows to represent different empirical facts such as increasing market activity,…

Trading and Market Microstructure · Quantitative Finance 2021-03-17 Thomas Deschatre , Pierre Gruet

Intraday electricity markets play an increasingly important role in balancing the intermittent generation of renewable energy resources, which creates a need for accurate probabilistic price forecasts. However, research to date has focused…

Statistical Finance · Quantitative Finance 2025-04-15 Simon Hirsch , Florian Ziel

Based on forward curves modelled as Hilbert-space valued processes, we analyse the pricing of various options relevant in energy markets. In particular, we connect empirical evidence about energy forward prices known from the literature to…

Mathematical Finance · Quantitative Finance 2014-12-30 Fred Espen Benth , Paul Krühner

We describe a model for evolving commodity forward prices that incorporates three important dynamics which appear in many commodity markets: mean reversion in spot prices and the resulting Samuelson effect on volatility term structure,…

Pricing of Securities · Quantitative Finance 2017-08-10 Mark Higgins

We derive the price of a spread option based on two assets which follow a bivariate volatility modulated Volterra process dynamics. Such a price dynamics is particularly relevant in energy markets, modelling for example the spot price of…

Pricing of Securities · Quantitative Finance 2014-09-23 Fred Espen Benth , Hanna Zdanowicz

An increase in energy production from renewable energy sources is viewed as a crucial achievement in most industrialized countries. The higher variability of power production via renewables leads to a rise in ancillary service costs over…

General Finance · Quantitative Finance 2017-09-25 Mario Mureddu , Hildegard Meyer-Ortmanns

We propose a new model for electricity pricing based on the price cap principle. The particularity of the model is that the asset price is an exponential functional of a jump L\'evy process. This model can capture both mean reversion and…

Pricing of Securities · Quantitative Finance 2019-06-27 Martin Kegnenlezom , Patrice Takam Soh , Antoine-Marie Bogso , Yves Emvudu Wono

The increasing vulnerability of power systems has heightened the need for operating reserves to manage contingencies such as generator outages, line failures, and sudden load variations. Unlike energy costs, driven by consumer demand,…

Systems and Control · Electrical Eng. & Systems 2025-06-06 Luiza Ribeiro , Alexandre Street , Jose Manuel Arroyo , Rodrigo Moreno

In this paper we provide a comprehensive analysis of a structural model for the dynamics of prices of assets traded in a market originally proposed in [1]. The model takes the form of an interacting generalization of the geometric Brownian…

Statistical Finance · Quantitative Finance 2018-06-06 Kartik Anand , Jonathan Khedair , Reimer Kuehn

The price of electricity is far more volatile than that of other commodities normally noted for extreme volatility. The possibility of extreme price movements increases the risk of trading in electricity markets. However, underlying the…

Statistical Mechanics · Physics 2008-12-02 Rafal Weron

The increasing penetration of variable renewable energy and flexible demand technologies, such as electric vehicles and heat pumps, introduces significant uncertainty in power systems, resulting in greater imbalance; defined as the…

Statistical Finance · Quantitative Finance 2025-09-08 Timothée Hornek , Sergio Potenciano Menci , Ivan Pavić

The growing share of proactive actors in the electricity markets calls for more attention on prosumers and more support for their decision-making under decentralized electricity markets. In view of the changing paradigm, it is crucial to…

Optimization and Control · Mathematics 2021-05-24 Ni Wang , Remco Verzijlbergh , Petra Heijnen , Paulien Herder

Traditional electric energy markets do not explicitly model generator contingencies. To improve the representation of resources and to enhance the modeling of uncertainty, existing markets are moving in the direction of including generator…

Systems and Control · Electrical Eng. & Systems 2019-10-08 N. G. Singhal , J. Kwon , K. W. Hedman

Electricity price forecasting approaches generally fall into two categories: data-driven models, which learn from historical patterns, or fundamental models, which simulate market mechanisms. We propose a novel and highly efficient…

Applications · Statistics 2026-01-27 Paul Ghelasi , Florian Ziel

Electricity prices in liberalized markets are determined by the supply and demand for electric power, which are in turn driven by various external influences that vary strongly in time. In perfect competition, the merit order principle…

Machine Learning · Computer Science 2022-12-12 Julius Trebbien , Leonardo Rydin Gorjão , Aaron Praktiknjo , Benjamin Schäfer , Dirk Witthaut
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