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Markets efficiency implies that the stock returns are intrinsically unpredictable, a property that makes markets comparable to random number generators. We present a novel methodology to investigate ultra-high frequency financial data and…

Statistical Finance · Quantitative Finance 2025-11-24 Silvia Onofri , Andrey Shternshis , Stefano Marmi

The dynamics of prices in financial markets has been studied intensively both experimentally (data analysis) and theoretically (models). Nevertheless, a complete stochastic characterization of volatility is still lacking. What it is well…

Statistical Mechanics · Physics 2009-10-31 Michele Pasquini , Maurizio Serva

We develop a novel observation-driven model for high-frequency prices. We account for irregularly spaced observations, simultaneous transactions, discreteness of prices, and market microstructure noise. The relation between trade durations…

Statistical Finance · Quantitative Finance 2024-05-09 Vladimír Holý

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

We present a comparative analysis of multifractal properties of financial time series built on stock indices from developing (WIG) and developed (S&P500) financial markets. It is shown how the multifractal image of the market is altered…

Statistical Finance · Quantitative Finance 2011-07-19 Dariusz Grech , Lukasz Czarnecki

Financial stock returns correlations have been studied in the prism of random matrix theory, to distinguish the signal from the "noise". Eigenvalues of the matrix that are above the rescaled Marchenko Pastur distribution can be interpreted…

Statistical Finance · Quantitative Finance 2025-08-19 Ixandra Achitouv

The daily volume of transaction on the New York Stock Exchange and its day-to-day fluctuations are analysed with respect to power-law tails as well long-term trends. We also model the transition to a Gaussian distribution for longer time…

Physics and Society · Physics 2009-11-11 Caglar Tuncay , Dietrich Stauffer

We analyse all Mini Flash Crashes (or Flash Equity Failures) in the US equity markets in the four most volatile months during 2006-2011. In contrast to previous studies, we find that Mini Flash Crashes are the result of regulation framework…

Trading and Market Microstructure · Quantitative Finance 2012-11-29 Anton Golub , John Keane , Ser-Huang Poon

The multifractal behavior for tick data of prices is investigated in Korean financial market. Using the rescaled range analysis(R/S analysis), we show the multifractal nature of returns for the won-dollar exchange rate and the KOSPI. We…

Statistical Mechanics · Physics 2008-12-02 Kyungsik Kim , Seong-Min Yoon

Crowded trades by similarly trading peers influence the dynamics of asset prices, possibly creating systemic risk. We propose a market clustering measure using granular trading data. For each stock the clustering measure captures the degree…

Statistical Finance · Quantitative Finance 2021-03-16 Marc van Kralingen , Diego Garlaschelli , Karolina Scholtus , Iman van Lelyveld

A novel application of the correlation matrix formalism to study dynamics of the financial evolution is presented. This formalism allows to quantify the memory effects as well as some potential repeatable intradaily structures in the…

Soft Condensed Matter · Physics 2009-11-07 S. Drozdz , J. Kwapien , F. Gruemmer , F. Ruf , J. Speth

We introduce a statistical test for simultaneous jumps in the price of a financial asset and its volatility process. The proposed test is based on high-frequency data and is robust to market microstructure frictions. For the test, local…

Statistics Theory · Mathematics 2018-06-12 Markus Bibinger , Lars Winkelmann

We show that typical behaviors of market participants at the high frequency scale generate leverage effect and rough volatility. To do so, we build a simple microscopic model for the price of an asset based on Hawkes processes. We encode in…

Trading and Market Microstructure · Quantitative Finance 2016-09-19 El Euch Omar , Fukasawa Masaaki , Rosenbaum Mathieu

In this paper we propose a new stochastic model based on a generalization of semi-Markov chains to study the high frequency price dynamics of traded stocks. We assume that the financial returns are described by a weighted indexed…

Statistical Finance · Quantitative Finance 2015-06-05 Guglielmo D'Amico , Filippo Petroni

We consider the roughness properties of NYSE (New York Stock Exchange) stock-price fluctuations. The statistical properties of the data are relatively homogeneous within the same day but the large jumps between different days prevent the…

Physics and Society · Physics 2009-11-11 V. Alfi , F. Coccetti , A. Petri , L. Pietronero

We study the distributions of event-time returns and clock-time returns at different microscopic timescales using ultra-high-frequency data extracted from the limit-order books of 23 stocks traded in the Chinese stock market in 2003. We…

Statistical Finance · Quantitative Finance 2008-12-02 Gao-Feng Gu , Wei Chen , Wei-Xing Zhou

Financial empirical correlation matrices of all the companies which both, the Deutsche Aktienindex (DAX) and the Dow Jones comprised during the time period 1990-1999 are studied using a time window of a limited, either 30 or 60, number of…

Statistical Mechanics · Physics 2008-12-02 S. Drozdz , F. Gruemmer , F. Ruf , J. Speth

The paper investigates the effect of the label green in bond markets from the lens of the trading activity. The idea is that jumps in the dynamics of returns have a specific memory nature that can be well represented through a self-exciting…

Trading and Market Microstructure · Quantitative Finance 2023-08-24 Lorenzo Mercuri , Andrea Perchiazzo , Edit Rroji

This paper explores the effectiveness of high-frequency options trading strategies enhanced by advanced portfolio optimization techniques, investigating their ability to consistently generate positive returns compared to traditional long or…

Trading and Market Microstructure · Quantitative Finance 2024-08-19 Sid Bhatia

Social and economic systems are complex adaptive systems, in which heterogenous agents interact and evolve in a self-organized manner, and macroscopic laws emerge from microscopic properties. To understand the behaviors of complex systems,…

Trading and Market Microstructure · Quantitative Finance 2018-02-27 Jian Zhou , Gao-Feng Gu , Zhi-Qiang Jiang , Xiong Xiong , Wei Chen , Wei Zhang , Wei-Xing Zhou