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In multivariate time series systems, key insights can be obtained by discovering lead-lag relationships inherent in the data, which refer to the dependence between two time series shifted in time relative to one another, and which can be…

Machine Learning · Statistics 2023-09-20 Yichi Zhang , Mihai Cucuringu , Alexander Y. Shestopaloff , Stefan Zohren

We construct a price impact model between stocks in a correlated market. For the price change of a given stock induced by the short-run liquidity of this stock itself and of the information about other stocks, we introduce a self- and a…

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

The study of time series has motivated many researchers, particularly on the area of multivariate-analysis. The study of co-movements and dependency between random variables leads us to develop metrics to describe existing connection…

Machine Learning · Computer Science 2022-03-08 Hugo Schnoering , Hugo Inzirillo

We propose a method of analyzing multivariate time series data that investigates lead-lag relationships among economic indicators during the COVID-19 era with a weighted directed network of lagged variables. The analysis includes a stock…

Social and Information Networks · Computer Science 2024-06-03 Amanda Goodrick , Hiroki Sayama

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

Statistical dynamics of financial systems is investigated, based on a model of a randomly coupled equation system driven by a stochastic Langevin force. Anticorrelations of price returns, and subdiffusion of prices is found from the model,…

Disordered Systems and Neural Networks · Physics 2008-12-02 Kestutis Staliunas

We propose a method to infer lead-lag networks of traders from the observation of their trade record as well as to reconstruct their state of supply and demand when they do not trade. The method relies on the Kinetic Ising model to describe…

Trading and Market Microstructure · Quantitative Finance 2022-04-20 Carlo Campajola , Fabrizio Lillo , Daniele Tantari

The impact of trades on asset prices is a crucial aspect of market dynamics for academics, regulators and practitioners alike. Recently, universal and highly nonlinear master curves were observed for price impacts aggregated on all…

Trading and Market Microstructure · Quantitative Finance 2018-01-17 Felix Patzelt , Jean-Philippe Bouchaud

We demonstrate using multi-layered networks, the existence of an empirical linkage between the dynamics of the financial network constructed from the market indices and the macroeconomic networks constructed from macroeconomic variables…

General Economics · Economics 2019-03-18 Kiran Sharma , Anindya S. Chakrabarti , Anirban Chakraborti

Financial markets are highly correlated systems that reveal both the inter-market dependencies and the correlations among their different components. Standard analyzing techniques include correlation coefficients for pairs of signals and…

Physics and Society · Physics 2008-12-02 J. Kwapien , S. Drozdz , A. Z. Gorski , P. Oswiecimka

In multivariate time series systems, it has been observed that certain groups of variables partially lead the evolution of the system, while other variables follow this evolution with a time delay; the result is a lead-lag structure amongst…

Machine Learning · Statistics 2022-01-21 Stefanos Bennett , Mihai Cucuringu , Gesine Reinert

We propose a novel framework to investigate lead-lag relationships between two financial assets. Our framework bridges a gap between continuous-time modeling based on Brownian motion and the existing wavelet methods for lead-lag analysis…

Methodology · Statistics 2018-11-13 Takaki Hayashi , Yuta Koike

We analyse the temporal changes in the cross correlations of returns on the New York Stock Exchange. We show that lead-lag relationships between daily returns of stocks vanished in less than twenty years. We have found that even for high…

Physics and Society · Physics 2009-01-11 Bence Toth , Janos Kertesz

One of the most interesting problems discerned when applying the Black--Scholes model to financial derivatives, is reconciling the deviation between expected and observed values. In our recent work, we derived a new model based on the…

Analysis of PDEs · Mathematics 2014-09-16 Shin-ichi Doi , Yasushi Ota

Previous studies of the stock price response to individual trades focused on single stocks. We empirically investigate the price response of one stock to the trades of other stocks. How large is the impact of one stock on others and vice…

Statistical Finance · Quantitative Finance 2016-03-17 Shanshan Wang , Rudi Schäfer , Thomas Guhr

The article presents calculations that prove practical importance of the earlier derived theoretical relationship between the interest rate on the interbank credit market, volume of investment and the quantity of securities tradable on the…

Statistical Finance · Quantitative Finance 2013-09-24 Magomet Yandiev , Alexander Pakhalov

To investigate the universal structure of interactions in financial dynamics, we analyze the cross-correlation matrix C of price returns of the Chinese stock market, in comparison with those of the American and Indian stock markets. As an…

Statistical Finance · Quantitative Finance 2012-02-03 J. Shen , B. Zheng

We present a systematic, trend-following strategy, applied to commodity futures markets, that combines univariate trend indicators with cross-sectional trend indicators that capture so-called {\em momentum spillover}, which can occur when…

Trading and Market Microstructure · Quantitative Finance 2025-01-14 Linze Li , William Ferreira

We revisit the index leverage effect, that can be decomposed into a volatility effect and a correlation effect. We investigate the latter using a matrix regression analysis, that we call `Principal Regression Analysis' (PRA) and for which…

Statistical Finance · Quantitative Finance 2013-01-29 Pierre-Alain Reigneron , Romain Allez , Jean-Philippe Bouchaud

Foreign exchange rates movements exhibit significant cross-correlations even on very short time-scales. The effect of these statistical relationships become evident during extreme market events, such as flash crashes.In this scenario, an…

Trading and Market Microstructure · Quantitative Finance 2020-09-09 Alberto Ciacci , Takumi Sueshige , Hideki Takayasu , Kim Christensen , Misako Takayasu