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We utilize the symmetric thermal optimal path (TOPS) method to examine the dynamic interaction patterns between the VIX and VIX futures markets. We document that the VIX dominates the VIX futures more in the first few years, especially…

General Finance · Quantitative Finance 2020-04-09 Yan-Hong Yang , Ying-Hui Shao

We review the evidence that the erratic dynamics of markets is to a large extent of endogenous origin, i.e. determined by the trading activity itself and not due to the rational processing of exogenous news. In order to understand why and…

Statistical Finance · Quantitative Finance 2010-09-16 Jean-Philippe Bouchaud

Microstructure of market dynamics is studied through analysis of tick price data. Linear trend is introduced as a tool for such analysis. Trend arbitrage inequality is developed and tested. The inequality sets limiting relationship between…

Data Analysis, Statistics and Probability · Physics 2008-12-02 Nikolai Zaitsev

Financial markets are a typical example of complex systems where interactions between constituents lead to many remarkable features. Here, we show that a pairwise maximum entropy model (or auto-logistic model) is able to describe switches…

Statistical Finance · Quantitative Finance 2014-01-28 Thomas Bury

This paper studies the extreme dependencies between energy, agriculture and metal commodity markets, with a focus on local co-movements, allowing the identification of asymmetries and changing trend in the degree of co-movements. More…

Computational Finance · Quantitative Finance 2020-03-10 Claudiu Albulescu , Aviral Tiwari , Qiang Ji

We investigate quantitatively the so-called leverage effect, which corresponds to a negative correlation between past returns and future volatility. For individual stocks, this correlation is moderate and decays exponentially over 50 days,…

Condensed Matter · Physics 2007-05-23 Jean-Philippe Bouchaud , Andrew Matacz , Marc Potters

We empirically analyze the reversion of financial market trends with time horizons ranging from minutes to decades. The analysis covers equities, interest rates, currencies and commodities and combines 14 years of futures tick data, 30…

Statistical Finance · Quantitative Finance 2025-06-02 Sara A. Safari , Christof Schmidhuber

The goal of developing a firmer theoretical understanding of inhomogenous temporal processes -- in particular, the waiting times in some collective dynamical system -- is attracting significant interest among physicists. Quantifying the…

Statistical Finance · Quantitative Finance 2015-06-12 Guannan Zhao , Mark McDonald , Dan Fenn , Stacy Williams , Neil F. Johnson

Dealers in foreign exchange markets provide bid and ask prices to their clients at which they are happy to buy and sell, respectively. To manage risk, dealers can skew their quotes and hedge in the interbank market. Hedging offers certainty…

Trading and Market Microstructure · Quantitative Finance 2026-01-21 Alexander Barzykin

We study the structure of the international trade hypergraph consisting of triangular hyperedges representing the exporter-importer-product relationship. Measuring the mean hyperdegree of the adjacent vertices, we first find its behaviors…

Physics and Society · Physics 2022-10-14 Sudo Yi , Deok-Sun Lee

We propose a general interpretation for long-range correlation effects in the activity and volatility of financial markets. This interpretation is based on the fact that the choice between `active' and `inactive' strategies is subordinated…

Disordered Systems and Neural Networks · Physics 2009-11-07 Irene Giardina , Jean-Philippe Bouchaud , Marc Mézard

The minimum spanning tree is used to study the process of market integration for a large group of national stock market indices. We show how the asset tree evolves over time and describe the dynamics of its normalized length, mean…

Physics and Society · Physics 2008-02-23 Ricardo Coelho , Claire G. Gilmore , Brian Lucey , Peter Richmond , Stefan Hutzler

Interbank markets are often characterised in terms of a core-periphery network structure, with a highly interconnected core of banks holding the market together, and a periphery of banks connected mostly to the core but not internally. This…

Risk Management · Quantitative Finance 2018-09-18 Sadamori Kojaku , Giulio Cimini , Guido Caldarelli , Naoki Masuda

We study the emergence of instabilities in a stylized model of a financial market, when different market actors calculate prices according to different (local) market measures. We derive typical properties for ensembles of large random…

Trading and Market Microstructure · Quantitative Finance 2012-09-04 Marco Bardoscia , Giacomo Livan , Matteo Marsili

We propose a simple continuous time model for modeling the lead-lag effect between two financial assets. A two-dimensional process $(X_t,Y_t)$ reproduces a lead-lag effect if, for some time shift $\vartheta\in \mathbb{R}$, the process…

Statistics Theory · Mathematics 2013-03-21 M. Hoffmann , M. Rosenbaum , N. Yoshida

We introduce and study a non-equilibrium continuous-time dynamical model of the price of a single asset traded by a population of heterogeneous interacting agents in the presence of uncertainty and regulatory constraints. The model takes…

Adaptation and Self-Organizing Systems · Physics 2009-04-23 V. I. Yukalov , D. Sornette , E. P. Yukalova

Investigating the relationship, particularly the lead-lag effect, between time series is a common question across various disciplines, especially when uncovering biological process. However, analyzing time series presents several…

The Epps effect, the decrease of correlations between stock returns for short time windows, was traced back to the trading asynchronicity and to the occasional lead-lag relation between the prices. We study pairs of stocks where the latter…

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

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

Prediction markets provide a unique setting where event-level time series are directly tied to natural-language descriptions, yet discovering robust lead-lag relationships remains challenging due to spurious statistical correlations. We…

Risk Management · Quantitative Finance 2026-03-02 Sumin Kim , Minjae Kim , Jihoon Kwon , Yoon Kim , Nicole Kagan , Joo Won Lee , Oscar Levy , Alejandro Lopez-Lira , Yongjae Lee , Chanyeol Choi