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Analogies between the price dynamics in the foreign exchange market and 3-dimensional fully developed turbulence were recently presented in Nature vol. 381, 767-769 (1996). Independently, we have carried out a study comparing the parallel…

Condensed Matter · Physics 2007-05-23 Rosario N. Mantegna , H. Eugene Stanley

In this paper we explore the specific role of randomness in financial markets, inspired by the beneficial role of noise in many physical systems and in previous applications to complex socio- economic systems. After a short introduction, we…

Statistical Finance · Quantitative Finance 2013-07-16 A. E. Biondo , A. Pluchino , A. Rapisarda , D. Helbing

A dynamic herding model with interactions of trading volumes is introduced. At time $t$, an agent trades with a probability, which depends on the ratio of the total trading volume at time $t-1$ to its own trading volume at its last trade.…

Trading and Market Microstructure · Quantitative Finance 2009-11-03 F. Ren , B. Zheng , P. Chen

Permutation approach is suggested as a method to investigate financial time series in micro scales. The method is used to see how high frequency trading in recent years has affected the micro patterns which may be seen in financial time…

Statistical Finance · Quantitative Finance 2014-08-06 Cina Aghamohammadi , Mehran Ebrahimian , Hamed Tahmooresi

By studying all the trades and best bids/asks of ultra high frequency snapshots recorded from the order books of a basket of 10 futures assets, we bring qualitative empirical evidence that the impact of a single trade depends on the…

Trading and Market Microstructure · Quantitative Finance 2010-10-28 Khalil al Dayri , Emmanuel Bacry , Jean-Francois Muzy

Recent years have seen an unprecedented rise of the role that technology plays in all aspects of human activities. Unavoidably, technology has heavily entered the Capital Markets trading space, to the extent that all major exchanges are now…

Statistical Finance · Quantitative Finance 2015-05-05 Lucio Maria Calcagnile , Giacomo Bormetti , Michele Treccani , Stefano Marmi , Fabrizio Lillo

We consider a few quantities that characterize trading on a stock market in a fixed time interval: logarithmic returns, volatility, trading activity (i.e., the number of transactions), and volume traded. We search for the power-law…

Statistical Finance · Quantitative Finance 2016-01-20 Rafal Rak , Stanislaw Drozdz , Jaroslaw Kwapien , Pawel Oswiecimka

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

High Frequency Trading (HFT) represents an ever growing proportion of all financial transactions as most markets have now switched to electronic order book systems. The main goal of the paper is to propose continuous time equations which…

Trading and Market Microstructure · Quantitative Finance 2013-12-10 Rene Carmona , Kevin Webster

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

We perform a parallel analysis of the spectral density of (i) the logarithm of price and (ii) the daily number of trades of a set of stocks traded in the New York Stock Exchange. The stocks are selected to be representative of a wide range…

Statistical Mechanics · Physics 2009-10-31 Giovanni Bonanno , Fabrizio Lillo , Rosario N. Mantegna

We propose a framework to study optimal trading policies in a one-tick pro-rata limit order book, as typically arises in short-term interest rate futures contracts. The high-frequency trader has the choice to trade via market orders or…

Trading and Market Microstructure · Quantitative Finance 2012-05-15 Fabien Guilbaud , Huyên Pham

We study the daily trading volume volatility of 17,197 stocks in the U.S. stock markets during the period 1989--2008 and analyze the time return intervals $\tau$ between volume volatilities above a given threshold q. For different…

Trading and Market Microstructure · Quantitative Finance 2015-05-28 Wei Li , Fengzhong Wang , Shlomo Havlin , H. Eugene Stanley

The price clustering phenomenon manifesting itself as an increased occurrence of specific prices is widely observed and well-documented for various financial instruments and markets. In the literature, however, it is rarely incorporated…

Statistical Finance · Quantitative Finance 2022-11-23 Vladimír Holý , Petra Tomanová

We present a novel approach to describing the microstructure of high frequency trading using two key elements. First we introduce a new notion of informed trader which we starkly contrast to current informed trader models. We describe the…

Trading and Market Microstructure · Quantitative Finance 2017-09-08 Rene Carmona , Kevin Webster

In this paper we describe three stochastic models based on a semi-Markov chains approach and its generalizations to study the high frequency price dynamics of traded stocks. The three models are: a simple semi-Markov chain model, an indexed…

Statistical Finance · Quantitative Finance 2013-12-16 G. D'Amico , F. Petroni , F. Prattico

Addressing the ongoing examination of high-frequency trading practices in financial markets, we report the results of an extensive empirical study estimating the maximum possible profitability of the most aggressive such practices, and…

Trading and Market Microstructure · Quantitative Finance 2010-09-15 Michael Kearns , Alex Kulesza , Yuriy Nevmyvaka

In financial markets, not only prices and returns can be considered as random variables, but also the waiting time between two transactions varies randomly. In the following, we analyse the statistical properties of General Electric stock…

Statistical Mechanics · Physics 2009-11-07 M. Raberto , E. Scalas , F. Mainardi

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

We study the average price impact of a single trade executed in the NYSE. After appropriate averaging and rescaling, the data for the 1000 most highly capitalized stocks collapse onto a single function, giving average price shift as a…

Statistical Mechanics · Physics 2008-12-02 Fabrizio Lillo , J. Doyne Farmer , Rosario N. Mantegna