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We present a financial market model, characterized by self-organized criticality, that is able to generate endogenously a realistic price dynamics and to reproduce well-known stylized facts. We consider a community of heterogeneous traders,…

Statistical Finance · Quantitative Finance 2015-11-04 A. E. Biondo , A. Pluchino , A. Rapisarda

This paper proposes a theory of stock market predictability patterns based on a model of heterogeneous beliefs. In a discrete finite time framework, some agents receive news about an asset's fundamental value through a noisy signal. The…

Pricing of Securities · Quantitative Finance 2024-06-13 Jiho Park

A new framework for asset price dynamics is introduced in which the concept of noisy information about future cash flows is used to derive the price processes. In this framework an asset is defined by its cash-flow structure. Each cash flow…

Pricing of Securities · Quantitative Finance 2013-01-31 Dorje C. Brody , Lane P. Hughston , Andrea Macrina

Building on a prominent agent-based model, we present a new structural stochastic volatility asset pricing model of fundamentalists vs. chartists where the prices are determined based on excess demand. Specifically, this allows for…

Economics · Quantitative Finance 2016-05-02 Radu T. Pruna , Maria Polukarov , Nicholas R. Jennings

This paper develops a comprehensive theoretical framework that imports concepts from stochastic thermodynamics to model price impact and characterize the feasibility of round-trip arbitrage in financial markets. A trading cycle is treated…

Mathematical Finance · Quantitative Finance 2025-12-04 Amit Kumar Jha

A new model for stock price fluctuations is proposed, based upon an analogy with the motion of tracers in Gaussian random fields, as used in turbulent dispersion models and in studies of transport in dynamically disordered media. Analytical…

Statistical Mechanics · Physics 2009-11-10 James P. Gleeson

We present analytical investigations of a multiplicative stochastic process that models a simple investor dynamics in a random environment. The dynamics of the investor's budget, $x(t)$, depends on the stochasticity of the return on…

Portfolio Management · Quantitative Finance 2009-11-13 Emeterio Navarro , Ruben Cantero , Joao Rodrigues , Frank Schweitzer

In this paper we explain the wild fluctuations of financial prices from the intrinsic amplifying feedback of speculative supply and demand. Formally, we show that an asset return follows a multiplicative random growth with exogenous input,…

Statistical Finance · Quantitative Finance 2015-08-11 Sabiou Inoua

Stochastic volatility models based on Gaussian processes, like fractional Brownian motion, are able to reproduce important stylized facts of financial markets such as rich autocorrelation structures, persistence and roughness of sample…

Probability · Mathematics 2022-05-10 Eduardo Abi Jaber

The minority game (MG) model introduced recently provides promising insights into the understanding of the evolution of prices, indices and rates in the financial markets. In this paper we perform a time series analysis of the model…

Data Analysis, Statistics and Probability · Physics 2008-12-02 Fernando F. Ferreira , Gerson Francisco , Birajara S. Machado , Paulsamy Muruganandam

The aim of the paper is to establish a convergence theorem for multi-dimensional stochastic approximation when the "innovations" satisfy some "light" averaging properties in the presence of a pathwise Lyapunov function. These averaging…

Probability · Mathematics 2012-09-12 Sophie Laruelle , Gilles Pagès

Market makers provide liquidity to other market participants: they propose prices at which they stand ready to buy and sell a wide variety of assets. They face a complex optimization problem with both static and dynamic components. They…

Trading and Market Microstructure · Quantitative Finance 2017-05-09 Olivier Guéant

New continuous and stochastic extensions of the minority game, devised as a fundamental model for a market of competitive agents, are introduced and studied in the context of statistical physics. The new formulation reproduces the key…

Statistical Mechanics · Physics 2009-10-31 Andrea Cavagna , Juan P. Garrahan , Irene Giardina , David Sherrington

We study the temporal fluctuations in time-dependent stock prices (both individual and composite) as a stochastic phenomenon using general techniques and methods of nonequilibrium statistical mechanics. In particular, we analyze stock price…

Physics and Society · Physics 2008-12-02 M. Constantin , S. Das Sarma

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

The use of factor stochastic volatility models requires choosing the number of latent factors used to describe the dynamics of the financial returns process; however, empirical evidence suggests that the number and makeup of pertinent…

Applications · Statistics 2019-03-06 Taylor R. Brown

Using frequency distributions of daily closing price time series of several financial market indexes, we investigate whether the bias away from an equiprobable sequence distribution found in the data, predicted by algorithmic information…

Trading and Market Microstructure · Quantitative Finance 2010-08-17 Hector Zenil , Jean-Paul Delahaye

In the over-the-counter market in derivatives, we sometimes see large numbers of traders taking the same position and risk. When there is this kind of concentration in the market, the position impacts the pricings of all other derivatives…

Pricing of Securities · Quantitative Finance 2016-12-05 Jun Maeda , Saul D. Jacka

Based on a criterion of mathematical simplicity and consistency with empirical market data, a stochastic volatility model has been obtained with the volatility process driven by fractional noise. Depending on whether the stochasticity…

Statistical Finance · Quantitative Finance 2015-06-05 R. Vilela Mendes , M. J. Oliveira , A. M. Rodrigues

Price movements of stock market are not totally random. In fact, what drives the financial market and what pattern financial time series follows have long been the interest that attracts economists, mathematicians and most recently computer…

Statistical Finance · Quantitative Finance 2013-11-20 G. Kavitha , A. Udhayakumar , D. Nagarajan