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Related papers: Polynomial processes for power prices

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We present a new model for the electricity spot price dynamics, which is able to capture seasonality, low-frequency dynamics and the extreme spikes in the market. Instead of the usual purely deterministic trend we introduce a non-stationary…

Applications · Statistics 2012-01-06 Fred Espen Benth , Claudia Klüppelberg , Gernot Müller , Linda Vos

We introduce an approximation strategy for the discounted moments of a stochastic process that can, for a large class of problems, approximate the true moments. These moments appear in pricing formulas of financial products such as bonds…

Mathematical Finance · Quantitative Finance 2021-11-02 Chenyu Zhao , Misha van Beek , Peter Spreij , Makhtar Ba

The South Australia region of the Australian National Electricity Market (NEM) displays some of the highest levels of price volatility observed in modern electricity markets. This paper outlines an approach to probabilistic forecasting…

Machine Learning · Computer Science 2023-12-13 Cameron Cornell , Nam Trong Dinh , S. Ali Pourmousavi

The recent liberalization of the electricity and gas markets has resulted in the growth of energy exchanges and modelling problems. In this paper, we modelize jointly gas and electricity spot prices using a mean-reverting model which fits…

Statistical Finance · Quantitative Finance 2018-02-20 Noufel Frikha , Vincent Lemaire

Operational decisions relying on predictive distributions of electricity prices can result in significantly higher profits compared to those based solely on point forecasts. However, the majority of models developed in both academic and…

Statistical Finance · Quantitative Finance 2024-10-08 Arkadiusz Lipiecki , Bartosz Uniejewski , Rafał Weron

The shortcomings of the popular Black-Scholes-Merton (BSM) model have led to models which could more accurately model the behavior of the underlying assets in energy markets, particularly in electricity and future oil prices. In this paper…

Pricing of Securities · Quantitative Finance 2020-06-01 Konrad Gajewski , Sebastian Ferrando , Pablo Olivares

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

I prove that if markets are weak-form efficient, meaning current prices fully reflect all information available in past prices, then P = NP, meaning every computational problem whose solution can be verified in polynomial time can also be…

General Finance · Quantitative Finance 2010-05-14 Philip Maymin

In this paper a unifying energy-based approach is provided to the modeling and stability analysis of power systems coupled with market dynamics. We consider a standard model of the power network with a third-order model for the synchronous…

Optimization and Control · Mathematics 2016-07-28 Tjerk Stegink , Claudio De Persis , Arjan van der Schaft

Our paper aims to model and forecast the electricity price by taking a completely new perspective on the data. It will be the first approach which is able to combine the insights of market structure models with extensive and modern…

Trading and Market Microstructure · Quantitative Finance 2016-10-18 Florian Ziel , Rick Steinert

Energy is a critical driver of modern economic systems. Accurate energy price forecasting plays an important role in supporting decision-making at various levels, from operational purchasing decisions at individual business organizations to…

Machine Learning · Computer Science 2024-11-07 Alexandru-Victor Andrei , Georg Velev , Filip-Mihai Toma , Daniel Traian Pele , Stefan Lessmann

The reliable estimation of forecast uncertainties is crucial for risk-sensitive optimal decision making. In this paper, we propose implicit generative ensemble post-processing, a novel framework for multivariate probabilistic electricity…

Applications · Statistics 2020-11-16 Tim Janke , Florian Steinke

In this paper we provide an asymptotic analysis of generalised bipower measures of the variation of price processes in financial economics. These measures encompass the usual quadratic variation, power variation and bipower variations which…

Probability · Mathematics 2007-05-23 Ole E. Barndorff-Nielsen , Svend E. Graversen , Jean Jacod , Neil Shephard

We model the dynamics of asset prices and associated derivatives by consideration of the dynamics of the conditional probability density process for the value of an asset at some specified time in the future. In the case where the price…

Pricing of Securities · Quantitative Finance 2011-11-14 Damir Filipović , Lane P. Hughston , Andrea Macrina

Reliability Options are capacity remuneration mechanisms aimed at enhancing security of supply in electricity systems. They can be framed as call options on electricity sold by power producers to System Operators. This paper provides a…

Pricing of Securities · Quantitative Finance 2019-09-13 Luisa Andreis , Maria Flora , Fulvio Fontini , Tiziano Vargiolu

How does dynamic price information flow among Northern European electricity spot prices and prices of major electricity generation fuel sources? We use time series models combined with new advances in causal inference to answer these…

Applications · Statistics 2011-10-26 Egil Ferkingstad , Anders Løland , Mathilde Wilhelmsen

We consider the forward investment problem in market models where the stock prices are continuous semimartingales adapted to a Brownian filtration. We construct a broad class of forward performance processes with initial conditions of power…

Mathematical Finance · Quantitative Finance 2020-12-22 Levon Avanesyan , Ronnie Sircar

Optimizing the total cost of power systems is a common tool for network operation and planning. Besides valuable information about how to run and possibly expand a power system, the optimization provides an optimal Locational Marginal Price…

Physics and Society · Physics 2022-03-18 Fabian Hofmann , Markus Schlott

Accurate price predictions are essential for market participants in order to optimize their operational schedules and bidding strategies, especially in the current context where electricity prices become more volatile and less predictable…

Computational Engineering, Finance, and Science · Computer Science 2025-09-26 Naga Venkata Sai Jitin Jami , Juraj Kardoš , Olaf Schenk , Harald Köstler

We propose a novel machine learning approach for probabilistic forecasting of hourly day-ahead electricity prices. In contrast with the recent advances in data-rich probabilistic forecasting, which approximates distributions with few…

General Economics · Economics 2025-07-04 Jozef Barunik , Lubos Hanus