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Motivated by empirical evidence from the joint behavior of realized volatility time series, we propose to model the joint dynamics of log-volatilities using a multivariate fractional Ornstein-Uhlenbeck process. This model is a multivariate…

Statistical Finance · Quantitative Finance 2026-05-19 Ranieri Dugo , Giacomo Giorgio , Paolo Pigato

Pricing derivatives goes back to the acclaimed Black and Scholes model. However, such a modeling approach is known not to be able to reproduce some of the financial stylized facts, including the dynamics of volatility. In the mathematical…

Statistical Finance · Quantitative Finance 2022-01-26 Giuseppe Brandi , T. Di Matteo

The roll-out of stochastic renewable energy sources (RES) undermines the efficiency of power system and market operations. This paper proposes an approach to derive electricity prices that internalize RES stochasticity. We leverage a…

Systems and Control · Electrical Eng. & Systems 2020-03-31 Robert Mieth , Jip Kim , Yury Dvorkin

In this paper, we study the price responsiveness of electricity consumption from empirical commercial and industrial load data obtained from Texas. Employing a dynamical system perspective, we show that price responsive demand can be…

Applications · Statistics 2016-12-16 Jaeyong An , P. R. Kumar , Le Xie

We address the need for forecasting methodologies that handle large uncertainties in electricity prices for continuous intraday markets by incorporating parameter uncertainty and using a broad set of covariables. This study presents the…

Applications · Statistics 2025-09-11 Daniel Nickelsen , Gernot Müller

Locational Marginal Price (LMP) is a dual variable associated with supply-demand matching and represents the cost of delivering power to a particular location if the load at that location increases. In recent times it become more volatile…

Optimization and Control · Mathematics 2018-11-07 Shantanu Chakraborty , Remco Verzijlbergh , Milos Cvetkovic , Kyri Baker , Zofia Lukszo

We conduct the first rigorous study of electricity price volatility for the full panel of electricity prices across three European generation zones. By interpreting the observed day-ahead prices as local averages of a latent price process…

General Finance · Quantitative Finance 2026-05-14 Thomas K. Kloster , Fred Espen Benth

Market-based coordination of demand side assets has gained great interests in recent years. In spite of its efficiency, there is a risk that the interaction between the dynamic assets through the price signal could result in an unstable…

Optimization and Control · Mathematics 2017-04-04 Lin Zhao , Wei Zhang

Electricity is bought and sold in wholesale markets at prices that fluctuate significantly. Short-term forecasting of electricity prices is an important endeavor because it helps electric utilities control risk and because it influences…

Computers and Society · Computer Science 2018-05-16 Elaheh Fata , Igor Kadota , Ian Schneider

We present a novel approach to probabilistic electricity price forecasting which utilizes distributional neural networks. The model structure is based on a deep neural network that contains a so-called probability layer. The network's…

Statistical Finance · Quantitative Finance 2023-09-29 Grzegorz Marcjasz , Michał Narajewski , Rafał Weron , Florian Ziel

A new multi-factor short rate model is presented which is bounded from below by a real-valued function of time. The mean-reverting short rate process is modeled by a sum of pure-jump Ornstein--Uhlenbeck processes such that the related bond…

Mathematical Finance · Quantitative Finance 2020-06-29 Markus Hess

Demand response (DR) leverages demand-side flexibility, offering a promising approach to enhance market conditions like mitigating wholesale price spikes. However, poorly chosen DR locations can inadvertently increase electricity prices.…

Systems and Control · Electrical Eng. & Systems 2024-08-06 Yufan Zhang , Honglin Wen , Tao Feng , Yize Chen

Electricity markets often utilize the DC approximation of the AC power flow equations to facilitate solving an otherwise complex nonconvex optimization problem. These DC power flow equations have analogies to DC circuit laws such as…

Optimization and Control · Mathematics 2024-03-29 Kyri Baker , Harsha Gangammanavar

Precise day-ahead forecasts for electricity prices are crucial to ensure efficient portfolio management, support strategic decision-making for power plant operations, enable efficient battery storage optimization, and facilitate demand…

Machine Learning · Computer Science 2026-03-31 Btissame El Mahtout , Florian Ziel

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

We adapt continuous time random walk (CTRW) formalism to describe asset price evolution and discuss some of the problems that can be treated using this approach. We basically focus on two aspects: (i) the derivation of the price…

Physics and Society · Physics 2008-12-10 J. Masoliver , M. Montero , J. Perello , G. H. Weiss

This paper presents a new method for combining (or aggregating or ensembling) multivariate probabilistic forecasts, considering dependencies between quantiles and marginals through a smoothing procedure that allows for online learning. We…

Machine Learning · Statistics 2024-02-08 Jonathan Berrisch , Florian Ziel

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

Accurate forecasts of electricity spot prices are essential to the daily operational and planning decisions made by power producers and distributors. Typically, point forecasts of these quantities suffice, particularly in the Nord Pool…

Statistical Finance · Quantitative Finance 2018-12-07 Gunnhildur H. Steinbakk , Alex Lenkoski , Ragnar Bang Huseby , Anders Løland , Tor Arne Øigård

Short term electricity price forecast is essential in competitive power markets, yet electricity price series exhibit high volatility, irregularity, and non-stationarity. This phenomenon is pronounced in the South Australian region of the…

Machine Learning · Computer Science 2026-04-28 Wei Lu , Jay Wang , Dingli Duan , Ding Mao , Caiyi Song , John Huang
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