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We present an empirical study of the subordination hypothesis for a stochastic time series of a stock price. The fluctuating rate of trading is identified with the stochastic variance of the stock price, as in the continuous-time random…

Physics and Society · Physics 2008-12-02 A. Christian Silva , Victor M. Yakovenko

We present a Monte Carlo approach to pairs trading on mean-reverting spreads modeled by L\'evy-driven Ornstein-Uhlenbeck processes. Specifically, we focus on using a variance gamma driving process, an infinite activity pure jump process to…

Computational Finance · Quantitative Finance 2024-02-02 Tim Leung , Kevin W. Lu

This paper employs machine learning algorithms to forecast German electricity spot market prices. The forecasts utilize in particular bid and ask order book data from the spot market but also fundamental market data like renewable infeed…

Applications · Statistics 2022-09-20 Simon Schnürch , Andreas Wagner

Electricity price forecasting (EPF) is essential for energy markets stakeholders (e.g. grid operators, energy traders, policymakers) but remains challenging due to the inherent volatility and nonlinearity of price signals. Traditional…

Artificial Intelligence · Computer Science 2026-02-06 Kritchanat Ponyuenyong , Pengyu Tu , Jia Wei Tan , Wei Soon Cheong , Jamie Ng Suat Ling , Lianlian Jiang

The marginal price of electricity traditionally depends on the dual variables associated with relevant optimization goals. Particularly, in the optimal power flow realm, prices represent the cost of supplying an additional unit of power at…

Optimization and Control · Mathematics 2016-06-29 Kyri Baker

In this paper, we develop a new approach to the very short-term point forecasting of electricity prices in the continuous market. It is based on the Support Vector Regression with a kernel correction built on additional forecast of…

Applications · Statistics 2024-11-26 Andrzej Puć , Joanna Janczura

The primary challenge of market making in spot precious metals is navigating the liquidity that is mainly provided by futures contracts. The Exchange for Physical (EFP) spread, which is the price difference between futures and spot, plays a…

Trading and Market Microstructure · Quantitative Finance 2026-01-21 Alexander Barzykin , Philippe Bergault , Olivier Guéant

We perform an extensive empirical analysis of scaling properties of equity returns, suggesting that financial data show time varying multifractal properties. This is obtained by comparing empirical observations of the weighted generalised…

Statistical Finance · Quantitative Finance 2015-06-12 Raffaello Morales , T. Di Matteo , Tomaso Aste

Context: The damped random walk (DRW) stochastic process is nowadays frequently used to model aperiodic light curves of AGNs. A number of correlations between the DRW model parameters, the signal decorrelation timescale and amplitude, and…

Astrophysics of Galaxies · Physics 2017-01-18 Szymon Kozłowski

This paper proposes a novel model of financial prices where: (i) prices are discrete; (ii) prices change in continuous time; (iii) a high proportion of price changes are reversed in a fraction of a second. Our model is analytically…

Trading and Market Microstructure · Quantitative Finance 2024-06-21 Neil Shephard , Justin J. Yang

We study a an optimal high frequency trading problem within a market microstructure model designed to be a good compromise between accuracy and tractability. The stock price is driven by a Markov Renewal Process (MRP), while market orders…

Trading and Market Microstructure · Quantitative Finance 2015-01-06 Pietro Fodra , Huyên Pham

A minimal model of a market of myopic non-cooperative agents who trade bilaterally with random bids reproduces qualitative features of short-term electric power markets, such as those in California and New England. Each agent knows its own…

Trading and Market Microstructure · Quantitative Finance 2009-05-15 Randall A. LaViolette , Lory A. Ellebracht , Kevin L. Stamber , Charles J. Gieseler , Benjamin K. Cook

Due to the liberalization of markets, the change in the energy mix and the surrounding energy laws, electricity research is a dynamically altering field with steadily changing challenges. One challenge especially for investment decisions is…

Statistical Finance · Quantitative Finance 2018-12-27 Rick Steinert , Florian Ziel

The participation of consumers and producers in demand response programs has increased in smart grids, which reduces investment and operation costs of power systems. Also, with the advent of renewable energy sources, the electricity market…

Machine Learning · Computer Science 2022-07-29 Nafise Rezaei , Roozbeh Rajabi , Abouzar Estebsari

This paper contains a phenomenological description of the whole U.S. forward rate curve (FRC), based on an data in the period 1990-1996. We find that the average FRC (measured from the spot rate) grows as the square-root of the maturity,…

Statistical Mechanics · Physics 2016-08-31 J. -P. Bouchaud , N. Sagna , R. Cont , N. El-Karoui , M. Potters

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

We study historical calibration of one- and two-factor models that are known to describe relatively well the dynamics of energy underlyings such as spot and index natural gas or oil prices at different physical locations or regional power…

Pricing of Securities · Quantitative Finance 2010-11-23 Josh Gray , Konstantin Palamarchuk

In an observed generalized semi-Markov regime, estimation of transition rate of regime switching leads towards calculation of locally risk minimizing option price. Despite the uniform convergence of estimated step function of transition…

Pricing of Securities · Quantitative Finance 2016-09-27 Anindya Goswami , Sanket Nandan

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

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