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We investigate the daily correlation present among market indices of stock exchanges located all over the world in the time period Jan 1996 - Jul 2009. We discover that the correlation among market indices presents both a fast and a slow…

Statistical Finance · Quantitative Finance 2011-08-16 Dong-Ming Song , Michele Tumminello , Wei-Xing Zhou , Rosario N. Mantegna

Recently the interest of researchers has shifted from the analysis of synchronous relationships of financial instruments to the analysis of more meaningful asynchronous relationships. Both of those analyses are concentrated only on…

Statistical Finance · Quantitative Finance 2014-06-18 Paweł Fiedor

We study the average price impact of a single trade executed in the NYSE. After appropriate averaging and rescaling, the data for the 1000 most highly capitalized stocks collapse onto a single function, giving average price shift as a…

Statistical Mechanics · Physics 2008-12-02 Fabrizio Lillo , J. Doyne Farmer , Rosario N. Mantegna

While the long-ranged correlation of market orders and their impact on prices has been relatively well studied in the literature, the corresponding studies of limit orders and cancellations are scarce. We provide here an empirical study of…

Trading and Market Microstructure · Quantitative Finance 2015-03-13 Zoltan Eisler , Jean-Philippe Bouchaud , Julien Kockelkoren

Stock prices are observed to be random walks in time despite a strong, long term memory in the signs of trades (buys or sells). Lillo and Farmer have recently suggested that these correlations are compensated by opposite long ranged…

Other Condensed Matter · Physics 2008-12-02 J. -P. Bouchaud , J. Kockelkoren , M. Potters

This article provides a simple explanation of the asymptotic concavity of the price impact of a meta-order via the microstructural properties of the market. This explanation is made more precise by a model in which the local relationship…

Trading and Market Microstructure · Quantitative Finance 2020-12-15 Sergey Nadtochiy

The NYSE and NASDAQ stock markets have very different structures and there is continuing controversy over whether differences in stock price behaviour are due to market structure or company characteristics. As the influence of market…

Physics and Society · Physics 2008-12-02 Ainslie Yuen , Plamen Ch. Ivanov

To identify emerging interdependencies between traded stocks we investigate the behavior of the stocks of FTSE 100 companies in the period 2000-2015, by looking at daily stock values. Exploiting the power of information theoretical measures…

Statistical Finance · Quantitative Finance 2017-07-05 Jacopo Rocchi , Enoch Yan Lok Tsui , David Saad

By applying the multifractal detrended fluctuation analysis to the high-frequency tick-by-tick data from Deutsche B\"orse both in the price and in the time domains, we investigate multifractal properties of the time series of logarithmic…

Other Condensed Matter · Physics 2009-11-10 P. Oswiecimka , J. Kwapien , S. Drozdz

We study a generic model for self-referential behaviour in financial markets, where agents attempt to use some (possibly fictitious) causal correlations between a certain quantitative information and the price itself. This correlation is…

Condensed Matter · Physics 2007-05-23 Matthieu Wyart , Jean-Philippe Bouchaud

Cross-correlation analysis is a powerful tool for understanding the mutual dynamics of time series. This study introduces a new method for predicting the future state of synchronization of the dynamics of two financial time series. To this…

Statistical Finance · Quantitative Finance 2022-11-03 Mostafa Shabani , Martin Magris , George Tzagkarakis , Juho Kanniainen , Alexandros Iosifidis

We exploit a continuous time random walk description of stock prices to obtain a fast and accurate evaluation of their volatility from intraday data. We show that financial markets are usefully described as open physical systems. Indeed we…

Other Condensed Matter · Physics 2008-12-02 Rosario Bartiromo

We investigate financial market correlations using random matrix theory and principal component analysis. We use random matrix theory to demonstrate that correlation matrices of asset price changes contain structure that is incompatible…

Statistical Finance · Quantitative Finance 2015-03-17 Daniel J. Fenn , Mason A. Porter , Stacy Williams , Mark McDonald , Neil F. Johnson , Nick S. Jones

The intermarket analysis, in particular the lead-lag relationship, plays an important role within financial markets. Therefore a mathematical approach to be able to find interrelations between the price development of two different…

Statistical Finance · Quantitative Finance 2015-04-24 Stanislaus Maier-Paape , Andreas Platen

The decision process requires information about the present state of the system, but in economy acquiring data and processing them is an expensive and time consuming process. Therefore the state of the system is measured and announced at…

Physics and Society · Physics 2007-09-21 Janusz Miskiewicz

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

We consider a tick-by-tick model of price formation, in which buy and sell orders are modeled as self-exciting point processes (Hawkes process), similar to the one in [Bacry, Delattre, Hoffmann, Muzy, Modelling microstructure noise with…

Mathematical Finance · Quantitative Finance 2026-03-27 Paolo Dai Pra , Paolo Pigato

Trading a financial asset pushes its price as well as the prices of other assets, a phenomenon known as cross-impact. The empirical estimation of this effect on complex financial instruments, such as derivatives, is an open problem. To…

Trading and Market Microstructure · Quantitative Finance 2022-03-30 Mehdi Tomas , Iacopo Mastromatteo , Michael Benzaquen

The dynamics of a stock market with heterogeneous agents is discussed in the framework of a recently proposed spin model for the emergence of bubbles and crashes. We relate the log returns of stock prices to magnetization in the model and…

Statistical Mechanics · Physics 2009-11-07 Taisei Kaizoji , Stefan Bornholdt , Yoshi Fujiwara

We analyze the interaction between stock prices of big companies in the USA and Germany using Granger Causality. We claim that the increase in pair-wise Granger causality interaction between prices in the times of crisis is the consequence…

Statistical Finance · Quantitative Finance 2022-05-16 Maryam Zamani , Sander Paekivi , Philipp Meyer , Holger Kantz