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We study counting statistics of electric current pumped by pulses of an external field. The fluctuations depend on the pulse shape, and can be minimized by choosing the pulse shape properly. For an optimal pulse shape, the fluctuations are…

Condensed Matter · Physics 2016-08-31 D. A. Ivanov , Hyunwoo Lee , L. S. Levitov

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 assume the market price to diffuse in a hierarchical comb of barriers, the heights of which represent the importance of new information entering the market. We find fat tails with the desired exponent for the price change distribution,…

Statistical Mechanics · Physics 2009-11-07 Christian Schulze

In this chapter we review some recent results on the dynamics of price formation in financial markets and its relations with the efficient market hypothesis. Specifically, we present the limit order book mechanism for markets and we…

Trading and Market Microstructure · Quantitative Finance 2017-08-24 Paolo Barucca , Fabrizio Lillo

Statistical properties of an order book and the effect they have on price dynamics were studied using the high-frequency NASDAQ Level II data. It was observed that the size distribution of marketable orders (transaction sizes) has power law…

Statistical Mechanics · Physics 2009-11-07 Sergei Maslov , Mark Mills

Biondi et al. (2012) develop an analytical model to examine the emergent dynamic properties of share market price formation over time, capable to capture important stylized facts. These latter properties prove to be sensitive to regulatory…

General Finance · Quantitative Finance 2021-09-27 Yuri Biondi , Simone Righi

We give a stochastic microscopic modelling of stock markets driven by continuous double auction. If we take into account the mimetic behavior of traders, when they place limit order, our virtual markets shows the power-law tail of the…

Computational Physics · Physics 2009-11-13 Jun-ichi Maskawa

This is the second paper in a cycle investigating the exact solution of loop equations in decaying turbulence. We perform numerical simulations of the Euler ensemble, suggested in the previous work, as a solution to the loop equations. We…

Fluid Dynamics · Physics 2024-03-04 Alexander Migdal

Based on criteria of mathematical simplicity and consistency with empirical market data, a stochastic volatility model is constructed, the volatility process being driven by fractional noise. Price return statistics and asymptotic behavior…

Probability · Mathematics 2008-12-02 Rui Vilela Mendes , M. J. Oliveira

We study local power fluctuations in numerical simulations of stationary, homogeneous, isotropic turbulence in two and three dimensions with Gaussian forcing. Due to the near-Gaussianity of the one-point velocity distribution, the…

Statistical Mechanics · Physics 2009-11-13 M. M. Bandi , Sergei G. Chumakov , Colm Connaughton

We consider a dynamical system which has a stable attractor and which is perturbed by an additive noise. Under some quite typical conditions, the fluctuations from the attractor are intermittent and have a probability distribution with…

Chaotic Dynamics · Physics 2015-02-23 Michael Wilkinson , Robin Guichardaz , Marc Pradas , Alain Pumir

In a closed economic system, money is conserved. Thus, by analogy with energy, the equilibrium probability distribution of money must follow the exponential Gibbs law characterized by an effective temperature equal to the average amount of…

Statistical Mechanics · Physics 2009-02-25 Adrian Dragulescu , Victor M. Yakovenko

We describe a new model to simulate the dynamic interactions between market price and the decisions of two different kind of traders. They possess spatial mobility allowing to group together to form coalitions. Each coalition follows a…

Statistical Mechanics · Physics 2009-10-31 Filippo Castiglione

We proposed a market simulation model (micro model) which displays multifractality and reproduces many important stylized facts of speculative markets. From this model we analytically extracted the MMAR model (Multifractal Model of Asset…

Statistical Mechanics · Physics 2008-12-02 Kazuko Yamasaki , Kenneth J. Mackin

Recent studies concerning the point electricity price forecasting have shown evidence that the hourly German Intraday Continuous Market is weak-form efficient. Therefore, we take a novel, advanced approach to the problem. A probabilistic…

Statistical Finance · Quantitative Finance 2021-02-02 Michał Narajewski , Florian Ziel

This paper proposes an agent-based model that combines both spot and balancing electricity markets. From this model, we develop a multi-agent simulation to study the integration of the consumers' flexibility into the system. Our study…

Systems and Control · Computer Science 2018-02-13 Florian Kühnlenz , Pedro H. J. Nardelli , Santtu Karhinen , Rauli Svento

We describe how the effect of charge noise on a pair of spins coupled via the exchange interaction can be calculated by modelling charge fluctuations as a random telegraph noise process using probability density functions. We develop…

Quantum Physics · Physics 2013-05-29 M. J. Testolin , J. H. Cole , L. C. L. Hollenberg

More than one billion data sampled with different frequencies from several financial instruments were investigated with the aim of testing whether they involve power law. As a result, a known power law with the power exponent around -4 was…

Statistical Finance · Quantitative Finance 2020-10-06 Caglar Tuncay

In this paper we propose a tractable quadratic programming formulation for calculating the equilibrium term structure of electricity prices. We rely on a theoretical model described in [21], but extend it so that it reflects actually traded…

Pricing of Securities · Quantitative Finance 2014-09-24 Miha Troha , Raphael Hauser

We present a systematic study of various statistical characteristics of high-frequency returns from the foreign exchange market. This study is based on six exchange rates forming two triangles: EUR-GBP-USD and GBP-CHF-JPY. It is shown that…

Statistical Finance · Quantitative Finance 2011-05-24 Stanislaw Drozdz , Jaroslaw Kwapien , Pawel Oswiecimka , Rafal Rak