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Related papers: The Intrinsic Instability of Financial Markets

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We review the evidence that the erratic dynamics of markets is to a large extent of endogenous origin, i.e. determined by the trading activity itself and not due to the rational processing of exogenous news. In order to understand why and…

Statistical Finance · Quantitative Finance 2010-09-16 Jean-Philippe Bouchaud

It is now well established empirically that financial price changes are distributed according to a power law, with cubic exponent. This is a fascinating regularity, as it holds for various classes of securities, on various markets, and on…

Statistical Finance · Quantitative Finance 2016-12-28 Sabiou Inoua

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

Using Trades and Quotes data from the Paris stock market, we show that the random walk nature of traded prices results from a very delicate interplay between two opposite tendencies: long-range correlated market orders that lead to…

Statistical Mechanics · Physics 2008-12-02 Jean-Philippe Bouchaud , Yuval Gefen , Marc Potters , Matthieu Wyart

In speculative markets, risk-free profit opportunities are eliminated by traders exploiting them. Markets are therefore often described as "informationally efficient", rapidly removing predictable price changes, and leaving only residual…

Trading and Market Microstructure · Quantitative Finance 2013-10-08 Felix Patzelt , Klaus R. Pawelzik

Financial time series exhibit a number of interesting properties that are difficult to explain with simple models. These properties include fat-tails in the distribution of price fluctuations (or returns) that are slowly removed at longer…

Statistical Finance · Quantitative Finance 2013-11-19 Raoul Golan , Austin Gerig

Following a long tradition of physicists who have noticed that the Ising model provides a general background to build realistic models of social interactions, we study a model of financial price dynamics resulting from the collective…

Statistical Mechanics · Physics 2008-12-02 Didier Sornette , Wei-Xing Zhou

We present a model of financial markets originally proposed for a turbulent flow, as a dynamic basis of its intermittent behavior. Time evolution of the price change is assumed to be described by Brownian motion in a power-law potential,…

Statistical Mechanics · Physics 2009-11-07 Naoki Kozuki , Nobuko Fuchikami

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

We investigate the mechanisms behind the power-law distribution of stock returns using artificial market simulations. While traditional financial theory assumes Gaussian price fluctuations, empirical studies consistently show that the tails…

Computational Finance · Quantitative Finance 2025-07-15 Ryuji Hashimoto , Kiyoshi Izumi

Many studies assume stock prices follow a random process known as geometric Brownian motion. Although approximately correct, this model fails to explain the frequent occurrence of extreme price movements, such as stock market crashes. Using…

Statistical Finance · Quantitative Finance 2015-05-14 Miguel A. Fuentes , Austin Gerig , Javier Vicente

Financial price changes obey two universal properties: they follow a power law and they tend to be clustered in time. The second regularity, known as volatility clustering, entails some predictability in the price changes: while their sign…

Statistical Finance · Quantitative Finance 2017-01-02 Sabiou Inoua

We study a stochastic multiplicative system composed of finite asynchronous elements to describe the wealth evolution in financial markets. We find that the wealth fluctuations or returns of this system can be described by a walk with…

Statistical Mechanics · Physics 2009-11-07 Zhi-Feng Huang , Sorin Solomon

We investigate the volatility return intervals in the NYSE and FOREX markets. We explain previous empirical findings using a model based on the interacting agent hypothesis instead of the widely-used efficient market hypothesis. We derive…

General Finance · Quantitative Finance 2016-10-26 Vygintas Gontis , Shlomo Havlin , Aleksejus Kononovicius , Boris Podobnik , H. Eugene Stanley

Financial models do not merely analyse markets, but actively shape them. This effect, known as performativity, describes how financial theories and the subsequent actions based on them influence market processes, by creating self-fulfilling…

Trading and Market Microstructure · Quantitative Finance 2026-02-19 Charalampos Kleitsikas , Stefanos Leonardos , Carmine Ventre

In this paper we present an interacting-agent model of stock markets. We describe a stock market through an Ising-like model in order to formulate the tendency of traders getting to be influenced by the other traders' investment attitudes…

Physics and Society · Physics 2013-09-11 Taisei Kaizoji

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

Financial markets can be seen as complex systems in non-equilibrium steady state, one of whose most important properties is the distribution of price fluctuations. Recently, there have been assertions that this distribution is qualitatively…

Physics and Society · Physics 2008-12-02 Raj Kumar Pan , Sitabhra Sinha

We address microscopic, agent based, and macroscopic, stochastic, modeling of the financial markets combining it with the exogenous noise. The interplay between the endogenous dynamics of agents and the exogenous noise is the primary…

Statistical Finance · Quantitative Finance 2016-11-22 Vygintas Gontis

In the information-based approach to asset pricing the market filtration is modelled explicitly as a superposition of signals concerning relevant market factors and independent noise. The rate at which the signal is revealed to the market…

Pricing of Securities · Quantitative Finance 2010-09-21 Dorje C. Brody , Yan Tai Law
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