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Earlier we proposed the stochastic point process model, which reproduces a variety of self-affine time series exhibiting power spectral density S(f) scaling as power of the frequency f and derived a stochastic differential equation with the…

Physics and Society · Physics 2008-12-02 V. Gontis , B. Kaulakys

The objective of this work is the investigation of complexity, asymmetry, stochasticity and non-linearity of the financial and economic systems by using the tools of statistical mechanics and information theory. More precisely, this thesis…

Statistical Finance · Quantitative Finance 2024-08-30 Rubina Zadourian

We utilize a chartist-fundamentalist model to examine the limits of informationally efficient stock markets. In our model, chartists are permanently active in the stock market, while fundamentalists trade only when their…

Theoretical Economics · Economics 2024-10-29 Laura Gardini , Davide Radi , Noemi Schmitt , Iryna Sushko , Frank Westerhoff

The vast majority of market impact studies assess each product individually, and the interactions between the different order flows are disregarded. This strong approximation may lead to an underestimation of trading costs and possible…

Trading and Market Microstructure · Quantitative Finance 2017-03-08 Michael Benzaquen , Iacopo Mastromatteo , Zoltan Eisler , Jean-Philippe Bouchaud

We present an experimental and simulated model of a multi-agent stock market driven by a double auction order matching mechanism. Studying the effect of cumulative information on the performance of traders, we find a non monotonic…

Physics and Society · Physics 2009-11-13 Bence Toth , Enrico Scalas , Juergen Huber , Michael Kirchler

The use of kinetic modelling based on partial differential equations for the dynamics of stock price formation in financial markets is briefly reviewed. The importance of behavioral aspects in market booms and crashes and the role of…

Trading and Market Microstructure · Quantitative Finance 2010-07-12 Dario Maldarella , Lorenzo Pareschi

In financial markets, greater volatility is usually considered synonym of greater risk and instability. However, large market downturns and upturns are often preceded by long periods where price returns exhibit only small fluctuations. To…

Statistical Finance · Quantitative Finance 2018-06-13 Davide Valenti , Giorgio Fazio , Bernardo Spagnolo

Statistical dynamics of financial systems is investigated, based on a model of a randomly coupled equation system driven by a stochastic Langevin force. Anticorrelations of price returns, and subdiffusion of prices is found from the model,…

Disordered Systems and Neural Networks · Physics 2008-12-02 Kestutis Staliunas

It is generally accepted that the asset price processes contain jumps. In fact, pure jump models have been widely used to model asset prices and/or stochastic volatilities. The question is: is there any statistical evidence from the…

Statistics Theory · Mathematics 2012-06-06 Bing-Yi Jing , Xin-Bing Kong , Zhi Liu

Employing a recent technique which allows the representation of nonstationary data by means of a juxtaposition of locally stationary patches of different length, we introduce a comprehensive analysis of the key observables in a financial…

Statistical Finance · Quantitative Finance 2013-05-03 Sabrina Camargo , Silvio M. Duarte Queiros , Celia Anteneodo

We analyze the stability properties of equilibrium solutions and periodicity of orbits in a two-dimensional dynamical system whose orbits mimic the evolution of the price of an asset and the excess demand for that asset. The construction of…

Dynamical Systems · Mathematics 2009-09-29 Vladimir Belitsky , Antonio L. Pereira , Fernando P. de Almeida Prado

Financial markets exhibit alternating periods of rising and falling prices. Stock traders seeking to make profitable investment decisions have to account for those trends, where the goal is to accurately predict switches from bullish…

Methodology · Statistics 2020-07-30 Lennart Oelschläger , Timo Adam

This paper explores the possibility that asset prices, especially those traded in large volume on public exchanges, might comply with specific physical laws of motion and probability. The paper first examines the basic dynamics of asset…

Mathematical Finance · Quantitative Finance 2017-07-18 J. T. Manhire

A new model for stocks markets using integer values for each stock price is presented. In contrast with previously reported models, the variables used in the model are not of binary type, but of more general integer type. It is shown how…

Condensed Matter · Physics 2007-05-23 Juan R. Sanchez

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

Market timing is an investment technique that tries to continuously switch investment into assets forecast to have better returns. What is the likelihood of having a successful market timing strategy? With an emphasis on modeling…

Portfolio Management · Quantitative Finance 2018-07-20 Guy Metcalfe

In this paper, we propose an equilibrium pricing model in a dynamic multi-period stochastic framework with uncertain income streams. In an incomplete market, there exist two traded risky assets (e.g. stock/commodity and weather derivative)…

Optimization and Control · Mathematics 2012-05-29 Traian A. Pirvu , Huayue Zhang

We propose a simple statistical-physics-inspired model for the effect of intrinsic fluctuations on supply and demand in markets. The model consists of agents that trade in two types of goods of which the total number is separately…

Physics and Society · Physics 2021-01-13 J. R. Mulder , René van Roij , R. A. Duine

A dynamical price formation model for financial assets is presented. It aims to capture the essence of speculative trading where mispricings of assets are used to make profits. It is shown that together with the incorporation of the concept…

Condensed Matter · Physics 2009-10-31 Stefan Thurner

Statistical models of economic distributions lead to Boltzmann distributions rather than a Pareto power law. This result is supported by two facts: 1. the distributions of income, car sales, marriages or jobs are a matter of chances and…

Statistical Mechanics · Physics 2008-12-02 J. Mimkes , Th. Fruend , G. Willis