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An agent-based model with interacting low frequency liquidity takers inter-mediated by high-frequency liquidity providers acting collectively as market makers can be used to provide realistic simulated price impact curves. This is possible…

Trading and Market Microstructure · Quantitative Finance 2021-08-23 Ivan Jericevich , Patrick Chang , Tim Gebbie

The frequency-dependent impedance is a fundamental property of electrical components. We show that it can be determined from the equilibrium dynamical fluctuations of the electrode charge in constant-potential molecular simulations,…

Chemical Physics · Physics 2023-03-15 Giovanni Pireddu , Benjamin Rotenberg

We study energy flow between two resistors coupled by an arbitrary linear and lossless electric circuit. We show that the fluctuations of energy transferred between the resistors are determined by random scattering of photons on an…

Statistical Mechanics · Physics 2015-08-24 D. S. Golubev , J. P. Pekola

Complex systems, such as the power grid, are essential for our daily lives. Many complex systems display (multi-)fractal behavior, correlated fluctuations and power laws. Whether the power-grid frequency, an indicator about the balance on…

We demonstrate that minority mechanisms arise in the dynamics of markets because of effects of price impact; accordingly the relative importance of minority and delayed majority mechanisms depends on the frequency of trading. We then use…

Statistical Mechanics · Physics 2008-12-02 Damien Challet , Tobias Galla

In this paper we investigate predictability of electricity prices in the Canadian provinces of Alberta and Ontario, as well as in the US Mid-C market. Using scale-dependent detrended fluctuation analysis, spectral analysis, and the…

Statistical Finance · Quantitative Finance 2015-06-01 Olga Y. Uritskaya , Vadim M. Uritsky

We discuss several models in order to shed light on the origin of power-law distributions and power-law correlations in financial time series. From an empirical point of view, the exponents describing the tails of the price increments…

Condensed Matter · Physics 2007-05-23 Jean-Philippe Bouchaud

The technique of Pad\'e Approximants, introduced in a previous work, is applied to extended recent data on the distribution of variations of interest rates compiled by the Federal Reserve System in the US. It is shown that new power laws…

Condensed Matter · Physics 2015-06-24 Thomas Alderweireld , Jean Nuyts

A bar magnet, attached to an oscillating system, passes through a coil periodically, generating a series of emf pulses. A novel method is described for the quantitative verification of Faraday's law which eliminates all errors associated…

Physics Education · Physics 2009-11-07 Avinash Singh , Y. N. Mohapatra , Satyendra Kumar

The large variability of renewable power sources is a central challenge in the transition to a sustainable energy system. Electricity markets are central for the coordination of electric power generation. These markets rely evermore on…

Statistical Finance · Quantitative Finance 2021-12-07 Chengyuan Han , Hannes Hilger , Eva Mix , Philipp C. Böttcher , Mark Reyers , Christian Beck , Dirk Witthaut , Leonardo Rydin Gorjão

In this paper we propose a new method for probabilistic forecasting of electricity prices. It is based on averaging point forecasts from different models combined with expectile regression. We show that deriving the predicted distribution…

Applications · Statistics 2024-02-13 Joanna Janczura

We discuss the role of information entropy on the behaviour of random processes, and how this might take effect in the dynamics of financial market prices. We then go on to show how the Open Quantum Systems approach can be used as a more…

Mathematical Finance · Quantitative Finance 2024-07-01 Will Hicks

An automated market maker where the price can cross the zero bound into the negative price domain with applications in electricity, energy, and derivatives markets is presented. A unique feature involves the ability to swap both negatively…

Trading and Market Microstructure · Quantitative Finance 2024-11-27 Vasily Tolstikov

In a market with transaction costs, the price of a derivative can be expressed in terms of (preconsistent) price systems (after Kusuoka (1995)). In this paper, we consider a market with binomial model for stock price and discuss how to…

Probability · Mathematics 2008-12-10 Tzuu-Shuh Chiang , Shang-Yuan Shiu , Shuenn-Jyi Sheu

A pricing principle is introduced for non-attainable $q$-exponential bounded contingent claims in an incomplete Brownian motion market setting. The buyer evaluates the contingent claim under the ``distorted Radon-Nikodym derivative'' and…

Mathematical Finance · Quantitative Finance 2022-10-11 Dejian Tian

Physical analogs have shown considerable promise for understanding the behavior of complex adaptive systems, including macroeconomics, biological systems, social networks, and electric power markets. Many of today's most challenging…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 David P. Chassin , Joel Malard , Christian Posse

Stock price change in financial market occurs through transactions in analogy with diffusion in stochastic physical systems. The analysis of price changes in real markets shows that long-range correlations of price fluctuations largely…

Statistical Mechanics · Physics 2008-12-10 V. Gontis

We empirically investigate fluctuations in product prices in online markets by using a tick-by-tick price data collected from a Japanese price comparison site, and find some similarities and differences between product and asset prices. The…

Physics and Society · Physics 2015-05-13 Takayuki Mizuno , Tsutomu Watanabe

We discuss stochastic modeling of volatility persistence and anti-correlations in electricity spot prices, and for this purpose we present two mean-reverting versions of the multifractal random walk (MRW). In the first model the…

Statistical Finance · Quantitative Finance 2015-06-04 Martin Rypdal , Ola Løvsletten

The speculation game is an agent-based toy model to investigate the dynamics of the financial market. Our model has achieved the reproduction of 10 of the well-known stylized facts for financial time series. However, there is also a…

Statistical Finance · Quantitative Finance 2019-09-09 Kei Katahira , Yu Chen