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We propose a non linear Langevin equation as a model for stock market fluctuations and crashes. This equation is based on an identification of the different processes influencing the demand and supply, and their mathematical transcription.…

Condensed Matter · Physics 2009-10-31 Jean-Philippe Bouchaud , Rama Cont

This paper discusses a novel explanation for asymmetric volatility based on the anchoring behavioral pattern. Anchoring as a heuristic bias causes investors focusing on recent price changes and price levels, which two lead to a belief in…

Pricing of Securities · Quantitative Finance 2016-06-14 Mihaly Ormos , Dusan Timotity

Large and stable indices of the world wide stock markets such as NYSE and SP 500 together with NASDAQ -- the index representing markets of new trends, and WIG -- the index of the local stock market of Eastern Europe, are considered. Due to…

Statistical Mechanics · Physics 2008-12-02 Danuta Makowiec

Most finance studies are discussed on the basis of several hypotheses, for example, investors rationally optimize their investment strategies. However, the hypotheses themselves are sometimes criticized. Market impacts, where trades of…

Computational Finance · Quantitative Finance 2022-02-03 Takanobu Mizuta , Isao Yagi , Kosei Takashima

Market Mill is a complex dependence pattern leading to nonlinear correlations and predictability in intraday dynamics of stock prices. The present paper puts together previous efforts to build a dynamical model reflecting the market mill…

Statistical Finance · Quantitative Finance 2015-05-13 Sergey Zaitsev , Alexander Zaitsev , Andrei Leonidov , Vladimir Trainin

We propose a model with heterogeneous interacting traders which can explain some of the stylized facts of stock market returns. In the model synchronization effects, which generate large fluctuations in returns, can arise either from an…

adap-org · Physics 2007-05-23 Giulia Iori

Markets have internal dynamics leading to excess volatility and other phenomena that are difficult to explain using rational expectations models. This paper studies these using a nonequilibrium price formation rule, developed in the context…

adap-org · Physics 2015-06-30 J. Doyne Farmer

Recent studies show that a negative shock in stock prices will generate more volatility than a positive shock of similar magnitude. The aim of this paper is to appraise the hypothesis under which the conditional mean and the conditional…

Physics and Society · Physics 2009-11-13 Nuno B. Ferreira , Rui Menezes , Diana A. Mendes

One approach to the analysis of stochastic fluctuations in market prices is to model characteristics of investor behaviour and the complex interactions between market participants, with the aim of extracting consequences in the aggregate.…

Probability · Mathematics 2008-12-02 Erhan Bayraktar , Ulrich Horst , Ronnie Sircar

We introduce a stochastic price model where, together with a random component, a moving average of logarithmic prices contributes to the price formation. Our model is tested against financial datasets, showing an extremely good agreement…

Disordered Systems and Neural Networks · Physics 2008-12-02 R. Baviera , M. Pasquini , J. Raboanary , M. Serva

We construct a general stochastic process and prove weak convergence results. It is scaled in space and through the parameters of its distribution. We show that our simplified scaling is equivalent to time scaling used frequently. The…

Probability · Mathematics 2011-07-01 Mine Caglar

We discuss - in what is intended to be a pedagogical fashion - a criterion, which is a lower bound on a certain ratio, for when a stock (or a similar instrument) is not a good investment in the long term, which can happen even if the…

Risk Management · Quantitative Finance 2017-08-01 Zura Kakushadze

We test for the long-run relationship between stock prices, inflation and its uncertainty for different U.S. sector stock indexes, over the period 2002M7 to 2015M10. For this purpose we use a cointegration analysis with one structural break…

Computational Finance · Quantitative Finance 2016-03-04 Claudiu Albulescu , Christian Aubin , Daniel Goyeau

We investigate the general problem of how to model the kinematics of stock prices without considering the dynamical causes of motion. We propose a stochastic process with long-range correlated absolute returns. We find that the model is…

Disordered Systems and Neural Networks · Physics 2008-12-02 M. Serva , U. L. Fulco , M. L. Lyra , G. M. Viswanathan

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

The price impact for a single trade is estimated by the immediate response on an event time scale, i.e., the immediate change of midpoint prices before and after a trade. We work out the price impacts across a correlated financial market.…

Trading and Market Microstructure · Quantitative Finance 2019-04-23 Shanshan Wang , Sebastian Neusüß , Thomas Guhr

An empirical study of joint bivariate probability distribution of two consecutive price increments for a set of stocks at time scales ranging from one minute to thirty minutes reveals asymmetric structures with respect to the axes y=0, y=x,…

Physics and Society · Physics 2008-12-02 Andrei Leonidov , Vladimir Trainin , Alexander Zaitsev , Sergey Zaitsev

In this paper we present a continuous time dynamical model of heterogeneous agents interacting in a financial market where transactions are cleared by a market maker. The market is composed of fundamentalist, trend following and contrarian…

Data Analysis, Statistics and Probability · Physics 2008-12-10 Giuseppe Garofalo , Alessandro Sansone

Cross-sectional signatures of market panic were recently discussed on daily time scales in [1], extended here to a study of cross-sectional properties of stocks on intra-day time scales. We confirm specific intra-day patterns of dispersion…

Statistical Finance · Quantitative Finance 2010-10-26 Lisa Borland , Yoan Hassid

Researchers have studied the first passage time of financial time series and observed that the smallest time interval needed for a stock index to move a given distance is typically shorter for negative than for positive price movements. The…

Statistical Finance · Quantitative Finance 2009-03-23 Johannes Vitalis Siven , Jeffrey Todd Lins , Jonas Lundbek Hansen