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Estimating market impact and transaction costs of large trades (metaorders) is a very important topic in finance. However, using models of price and trade based on public market data provide average price trajectories which are…

Trading and Market Microstructure · Quantitative Finance 2025-12-04 Manuel Naviglio , Giacomo Bormetti , Francesco Campigli , German Rodikov , Fabrizio Lillo

We attempt to explain stock market dynamics in terms of the interaction among three variables: market price, investor opinion and information flow. We propose a framework for such interaction and apply it to build a model of stock market…

General Finance · Quantitative Finance 2014-09-23 Maxim Gusev , Dimitri Kroujiline , Boris Govorkov , Sergey V. Sharov , Dmitry Ushanov , Maxim Zhilyaev

Equity basket correlation can be estimated both using the physical measure from stock prices, and also using the risk neutral measure from option prices. The difference between the two estimates motivates a so-called "dispersion strategy''.…

Statistical Finance · Quantitative Finance 2020-09-22 Wolfgang Karl Härdle , Elena Silyakova

We analyze a proprietary dataset of trades by a single asset manager, comparing their price impact with that of the trades of the rest of the market. In the context of a linear propagator model we find no significant difference between the…

Trading and Market Microstructure · Quantitative Finance 2018-01-03 Bence Toth , Zoltan Eisler , Jean-Philippe Bouchaud

We introduce a new test for detection of power-law cross-correlations among a pair of time series - the rescaled covariance test. The test is based on a power-law divergence of the covariance of the partial sums of the long-range…

Statistical Finance · Quantitative Finance 2013-10-10 Ladislav Kristoufek

We study the price impact of order book events - limit orders, market orders and cancelations - using the NYSE TAQ data for 50 U.S. stocks. We show that, over short time intervals, price changes are mainly driven by the order flow…

Trading and Market Microstructure · Quantitative Finance 2015-03-17 Rama Cont , Arseniy Kukanov , Sasha Stoikov

It has been long that literature in financial academics focuses mainly on price and return but much less on trading volume. In the past twenty years, it has already linked both price and trading volume to economic fundamentals, and explored…

General Finance · Quantitative Finance 2023-10-10 Leilei Shi , Bing Han , Yingzi Zhu , Liyan Han , Yiwen Wang , Yan Piao

The relative timing of action potentials in neurons recorded from local cortical networks often shows a non-trivial dependence, which is then quantified by cross-correlation functions. Theoretical models emphasize that such spike train…

Neurons and Cognition · Quantitative Biology 2017-06-28 Taskin Deniz , Stefan Rotter

As is widely known, the stock market is a complex system in which a multitude of factors influence the performance of individual stocks and the market as a whole. One method for comprehending -- and potentially predicting -- stock market…

Statistical Finance · Quantitative Finance 2023-12-19 Aarush Pratik Sheth , Jonah Riley Weinbaum , Kevin Javier Zvonarek

Price without transaction makes no sense. Trading volume authenticates its corresponding price, so there exist mutual information and correlation between price and trading volume. We are curious about fractal features of this correlation…

Computational Finance · Quantitative Finance 2020-08-26 Jamshid Ardalankia , Mohammad Osoolian , Emmanuel Haven , G. Reza Jafari

We study how the phenomenon of contagion can take place in the network of the world's stock exchanges due to the behavioral trait "blindeness to small changes". On large scale individual, the delay in the collective response may…

General Finance · Quantitative Finance 2016-02-25 Lucia Bellenzier , Jørgen Vitting Andersen , Giulia Rotundo

The high-frequency cross-correlation existing between pairs of stocks traded in a financial market are investigated in a set of 100 stocks traded in US equity markets. A hierarchical organization of the investigated stocks is obtained by…

Statistical Mechanics · Physics 2008-12-02 Giovanni Bonanno , Fabrizio Lillo , Rosario N. Mantegna

Stock price prediction has been an important research theme both academically and practically. Various methods to predict stock prices have been studied until now. The feature that explains the stock price by a cross-section analysis is…

Portfolio Management · Quantitative Finance 2020-07-21 Masaya Abe , Kei Nakagawa

What return should you expect when you take on a given amount of risk? How should that return depend upon other people's behavior? What principles can you use to answer these questions? In this paper, we approach these topics by exploring…

Disordered Systems and Neural Networks · Physics 2008-12-02 Emanuel Derman

In this study we examine the evolution of price, volume, and the bid-ask spread after extreme 15 minute intraday price changes on the NYSE and the NASDAQ. We find that due to strong behavioral trading there is an overreaction. Furthermore…

Statistical Mechanics · Physics 2009-11-10 A. G. Zawadowski , J. Kertesz , G. Andor

Oil companies are among the largest companies in the world whose economic indicators in the global stock market have a great impact on the world economy\cite{ec00} and market due to their relation to gold\cite{ec01}, crude oil\cite{ec02},…

Statistical Finance · Quantitative Finance 2023-12-21 Javad T. Firouzjaee , Pouriya Khaliliyan

Fluctuations in stock prices are influenced by a complex interplay of factors that go beyond mere historical data. These factors, themselves influenced by external forces, encompass inter-stock dynamics, broader economic factors, various…

Statistical Finance · Quantitative Finance 2026-02-12 Ambedkar Dukkipati , Kawin Mayilvaghanan , Naveen Kumar Pallekonda , Sai Prakash Hadnoor , Ranga Shaarad Ayyagari

Constant price impact functions, much used in financial literature, are shown to give rise to paradoxical outcomes since they do not allow for proper predictability removal: for instance the exploitation of a single large trade whose size…

Physics and Society · Physics 2010-01-27 Damien Challet

Given two time series, A and B, sampled asynchronously at different times {t_A_i} and {t_B_j}, termed "ticks", how can one best estimate the correlation coefficient \rho between changes in A and B? We derive a natural, minimum-variance…

Statistical Finance · Quantitative Finance 2023-03-29 William H. Press

In this comment we discuss the problem of reconciling the linear efficiency of price returns with the long-memory of supply and demand. We present new evidence that shows that efficiency is maintained by a liquidity imbalance that co-moves…

Physics and Society · Physics 2008-12-02 J. Doyne Farmer , Austin Gerig , Fabrizio Lillo , Szabolcs Mike