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The waiting time needed for a stock market index to undergo a given percentage change in its value is found to have an up-down asymmetry, which, surprisingly, is not observed for the individual stocks composing that index. To explain this,…

Physics and Society · Physics 2009-11-11 Raul Donangelo , Mogens H. Jensen , Ingve Simonsen , Kim Sneppen

Monitoring means to observe a system for any changes which may occur over time, using a monitor or measuring device of some sort. In this paper we formulate a problem of monitoring dates of maximal risk of a financial position. Thus, the…

Risk Management · Quantitative Finance 2009-02-17 Erick Trevino Aguilar

The formation of price in a financial market is modelled as a chain of Ising spin with three fundamental figures of trading. We investigate the time behaviour of the model, and we compare the results with the real EURO/USD change rate. By…

Data Analysis, Statistics and Probability · Physics 2008-12-02 Antonella Greco , Luca Sorriso-Valvo , Vincenzo Carbone

The number of pension funds has multiplied exponentially over the last decade. Active portfolio management requires a precise analysis of the performance drivers. Several risk and performance attribution metrics have been developed since…

Portfolio Management · Quantitative Finance 2021-11-17 Hugo Inzirillo , Rémi Genet

We study the statistical properties of volatility---a measure of how much the market is likely to fluctuate. We estimate the volatility by the local average of the absolute price changes. We analyze (a) the S&P 500 stock index for the…

A theory which describes the share price evolution at financial markets as a continuous-time random walk has been generalized in order to take into account the dependence of waiting times t on price returns x. A joint probability density…

Statistical Mechanics · Physics 2015-06-24 Przemyslaw Repetowicz , Peter Richmond

Empirical diagnosis of stability has received considerable attention, mostly focused on variance metrics for early warning signals of abrupt system change. Despite this, the theoretical foundation and application has been limited to…

Adaptation and Self-Organizing Systems · Physics 2020-09-11 Zachary C Williams , Dylan E McNamara

We consider a mean-reverting stochastic volatility model which satisfies some relevant stylized facts of financial markets. We introduce an algorithm for the detection of peaks in the volatility profile, that we apply to the time series of…

Statistical Finance · Quantitative Finance 2016-12-05 Mario Bonino , Matteo Camelia , Paolo Pigato

In this paper we demonstrate a striking regularity in the way people place limit orders in financial markets, using a data set consisting of roughly seven million orders from the London Stock Exchange. We define the relative limit price as…

Condensed Matter · Physics 2007-05-23 Ilija I. Zovko , J. Doyne Farmer

The concepts of scale invariance, self-similarity and scaling have been fruitfully applied to the study of price fluctuations in financial markets. After a brief review of the properties of stable Levy distributions and their applications…

Statistical Mechanics · Physics 2008-12-02 Rama Cont , Marc Potters , Jean-Philippe Bouchaud

We investigate sets of financial non-redundant and nonsynchronously recorded time series. The sets are composed by a number of stock market indices located all over the world in five continents. By properly selecting the time horizon of…

Statistical Mechanics · Physics 2009-10-31 Giovanni Bonanno , Nicolas Vandewalle , Rosario N. Mantegna

Motivated by empirical observations on the interplay of trends and reversion, a lattice gas model of financial markets is presented. The shares of an asset are modeled by gas molecules that are distributed across a hidden social network of…

Statistical Finance · Quantitative Finance 2022-03-02 Christof Schmidhuber

The scaling properties of the time series of asset prices and trading volumes of stock markets are analysed. It is shown that similarly to the asset prices, the trading volume data obey multi-scaling length-distribution of low-variability…

Statistical Mechanics · Physics 2008-12-02 Robert Kitt , Jaan Kalda

Financial markets have been extensively studied as highly complex evolving systems. In this paper, we quantify financial price fluctuations through a coupled dynamical system composed of phase oscillators. We find a Financial Coherence and…

Statistical Finance · Quantitative Finance 2016-05-10 Shangmei Zhao , Qiuchao Xie , Qing Lu , Xin Jiang , Wei Chen

We propose in this paper to consider the stock market as a physical system assimilate to a fluid evolving in a macroscopic space subject to a Force that influences its movement over time where this last is arising from the collision between…

Computational Finance · Quantitative Finance 2021-03-02 Geoffrey Ducournau

The correlation coefficient between stocks depends on price history and includes information on hierarchical structure in financial markets. It is useful for portfolio selection and estimation of risk. I introduce the Life Time of…

General Finance · Quantitative Finance 2011-06-01 Andrzej Buda

We present our competing shares financial market model and describe its behaviour by numerical simulation. We show that in the critical region the distribution avalanches of the market value as defined in this model has a power-law…

Condensed Matter · Physics 2009-10-31 A. Ponzi , Y. Aizawa

It is suggested to consider long term trends of financial markets as a growth phenomenon. The question that is asked is what conditions are needed for a long term sustainable growth or contraction in a financial market? The paper discuss…

Statistical Mechanics · Physics 2008-12-02 Jorgen Vitting Andersen

We investigate the dynamical behaviour of the Ising model under a zero temperature quench with the initial fraction of up spins $0\leq x\leq 1$. In one dimension, the known results for persistence probability are verified; it shows…

Statistical Mechanics · Physics 2016-11-11 Pratik Mullick , Parongama Sen

We reanalyze high resolution data from the New York Stock Exchange and find a monotonic (but not power law) variation of the mean value per trade, the mean number of trades per minute and the mean trading activity with company…

Physics and Society · Physics 2008-12-02 Zoltan Eisler , Janos Kertesz