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This paper derives the expressions of correlations between prices of two assets, returns of two assets, and price-return correlations of two assets that depend on statistical moments and correlations of the current values, past values, and…

General Economics · Economics 2024-12-18 Victor Olkhov

Networks provide a powerful formalism for modeling complex systems by using a model of pairwise interactions. But much of the structure within these systems involves interactions that take place among more than two nodes at once; for…

Social and Information Networks · Computer Science 2018-12-13 Austin R. Benson , Rediet Abebe , Michael T. Schaub , Ali Jadbabaie , Jon Kleinberg

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

Successful animal systems often manage risk through synchronous behavior that spontaneously arises without leadership. In critical human systems facing risk, such as financial markets or military operations, our understanding of the…

Physics and Society · Physics 2011-10-04 Serguei Saavedra , Kathleen Hagerty , Brian Uzzi

We suggest employing log-ergodic processes to simulate the velocity of money in an ergodic manner. Our approach sheds light on economic behavior, policy implications, and financial dynamics by maintaining long-term stability. By bridging…

General Finance · Quantitative Finance 2024-12-13 Kiarash Firouzi , Mohammad Jelodari Mamaghani

We point out a stunning time asymmetry in the short time cross correlations between intra-day and overnight volatilities (absolute values of log-returns of stock prices). While overnight volatility is significantly (and positively)…

Statistical Finance · Quantitative Finance 2015-09-29 Rubina Zadourian , Peter Grassberger

For the pedestrian observer, financial markets look completely random with erratic and uncontrollable behavior. To a large extend, this is correct. At first approximation the difference between real price changes and the random walk model…

Statistical Finance · Quantitative Finance 2011-08-22 Laurent Schoeffel

In this paper we investigate the endogenous information contained in four liquidity variables at a five minutes time scale on equity markets around the world: the traded volume, the bid-ask spread, the volatility and the volume at first…

Trading and Market Microstructure · Quantitative Finance 2018-11-12 Mikołaj Bińkowski , Charles-Albert Lehalle

For the pedestrian observer, financial markets look completely random with erratic and uncontrollable behavior. To a large extend, this is correct. At first approximation the difference between real price changes and the random walk model…

Statistical Finance · Quantitative Finance 2011-08-22 Laurent Schoeffel

Using a large dataset on major FX rates, we test the robustness of the rough fractional volatility model over different time scales, by including smoothing and measurement errors into the analysis. Our findings lead to new stylized facts in…

Statistical Finance · Quantitative Finance 2021-11-09 Matthieu Garcin , Martino Grasselli

We investigated financial market data to determine which factors affect information flow between stocks. Two factors, the time dependency and the degree of efficiency, were considered in the analysis of Korean, the Japanese, the Taiwanese,…

Statistical Finance · Quantitative Finance 2009-11-13 Cheoljun Eom , Woo-Sung Jung , Sunghoon Choi , Gabjin Oh , Seunghwan Kim

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

Trading pressure from one asset can move the price of another, a phenomenon referred to as cross impact. Using tick-by-tick data spanning 5 years for 500 assets listed in the United States, we identify the features that make cross-impact…

Trading and Market Microstructure · Quantitative Finance 2024-03-27 Victor Le Coz , Iacopo Mastromatteo , Damien Challet , Michael Benzaquen

The vast majority of market impact studies assess each product individually, and the interactions between the different order flows are disregarded. This strong approximation may lead to an underestimation of trading costs and possible…

Trading and Market Microstructure · Quantitative Finance 2017-03-08 Michael Benzaquen , Iacopo Mastromatteo , Zoltan Eisler , Jean-Philippe Bouchaud

Time series forecasting occurs in a range of financial applications providing essential decision-making support to investors, regulatory institutions, and analysts. Unlike multivariate time series from other domains, stock time series…

The dynamics of the equal-time cross-correlation matrix of multivariate financial time series is explored by examination of the eigenvalue spectrum over sliding time windows. Empirical results for the S&P 500 and the Dow Jones Euro Stoxx 50…

Statistical Finance · Quantitative Finance 2010-02-02 Thomas Conlon , Heather J. Ruskin , Martin Crane

We conclude from an analysis of high resolution NYSE data that the distribution of the traded value $f_i$ (or volume) has a finite variance $\sigma_i$ for the very large majority of stocks $i$, and the distribution itself is non-universal…

Physics and Society · Physics 2009-11-13 Zoltan Eisler , Janos Kertesz

We study statistical properties of the highest degree, or most popular, nodes in growing networks. We show that the number of lead changes increases logarithmically with network size N, independent of the details of the growth mechanism.…

Statistical Mechanics · Physics 2009-11-07 P. L. Krapivsky , S. Redner

We introduce a framework to infer lead-lag networks between the states of elements of complex systems, determined at different timescales. As such networks encode the causal structure of a system, infering lead-lag networks for many pairs…

Statistical Finance · Quantitative Finance 2020-04-08 Marcus Cordi , Damien Challet , Serge Kassibrakis

In most social and information systems the activity of agents generates rapidly evolving time-varying networks. The temporal variation in networks' connectivity patterns and the ongoing dynamic processes are usually coupled in ways that…

Physics and Society · Physics 2014-02-18 Márton Karsai , Nicola Perra , Alessandro Vespignani