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We investigate the correlation properties of transaction data from the New York Stock Exchange. The trading activity f(t) of each stock displays a crossover from weaker to stronger correlations at time scales 60-390 minutes. In both…

Physics and Society · Physics 2008-12-02 Zoltan Eisler , Janos Kertesz

Many commonly used liquidity measures are based on snapshots of the state of the limit order book (LOB) and can thus only provide information about instantaneous liquidity, and not regarding the local liquidity regime. However, trading in…

Statistical Finance · Quantitative Finance 2014-06-23 Efstathios Panayi , Gareth Peters

In this article, we present a discrete time modeling framework, in which the shape and dynamics of a Limit Order Book (LOB) arise endogenously from an equilibrium between multiple market participants (agents). We use the proposed modeling…

Trading and Market Microstructure · Quantitative Finance 2017-05-10 Roman Gayduk , Sergey Nadtochiy

In order-driven markets, limit-order book (LOB) resiliency is an important microscopic indicator of market quality when the order book is hit by a liquidity shock and plays an essential role in the design of optimal submission strategies of…

Trading and Market Microstructure · Quantitative Finance 2018-02-27 Hai-Chuan Xu , Wei Chen , Xiong Xiong , Wei Zhang , Wei-Xing Zhou , H Eugene Stanley

In this paper we consider classes of models that have been recently developed for quantitative finance that involve modelling a highly complex multivariate, multi-attribute stochastic process known as the Limit Order Book (LOB). The LOB is…

Computational Finance · Quantitative Finance 2015-04-23 Gareth W. Peters , Efstathios Panayi , Francois Septier

The Limit Order Book (LOB), the mostly fundamental data of the financial market, provides a fine-grained view of market dynamics while poses significant challenges in dealing with the esteemed deep models due to its strong autocorrelation,…

Computational Engineering, Finance, and Science · Computer Science 2025-05-06 Muyao Zhong , Yushi Lin , Peng Yang

We present an empirical analysis of the microstructure of financial markets and, in particular, of the static and dynamic properties of liquidity. We find that on relatively large time scales (15 minutes) large price fluctuations are…

Trading and Market Microstructure · Quantitative Finance 2015-12-09 Francesco Corradi , Andrea Zaccaria , Luciano Pietronero

A liquidity measure based on consideration and price range is proposed. Initially defined for daily data, Liquidity Index (LIX) can also be estimated via intraday data by using a time scaling mechanism. The link between LIX and the…

Trading and Market Microstructure · Quantitative Finance 2014-12-17 Oleh Danyliv , Bruce Bland , Daniel Nicholass

We conclude from an analysis of high resolution NYSE data that the distribution of the traded value $f_i$ (or volume) has a finite variance $\sigma_i$ for the very large majority of stocks $i$, and the distribution itself is non-universal…

Physics and Society · Physics 2009-11-13 Zoltan Eisler , Janos Kertesz

Price gap, defined as the logarithmic price difference between the first two occupied price levels on the same side of a limit order book (LOB), is a key determinant of market depth, which is one of the dimensions of liquidity. However, the…

Trading and Market Microstructure · Quantitative Finance 2018-02-27 Gao-Feng Gu , Xiong Xiong , Yong-Jie Zhang , Wei Chen , Wei Zhang , Wei-Xing Zhou

This paper presents a general framework for the design and analysis of exchange mechanisms between two assets that unifies and enables comparisons between the two dominant paradigms for exchange, constant function market markers (CFMMs) and…

Functional Analysis · Mathematics 2023-04-21 Jason Milionis , Ciamac C. Moallemi , Tim Roughgarden

We develop a behavioral model for liquidity and volatility based on empirical regularities in trading order flow in the London Stock Exchange. This can be viewed as a very simple agent based model in which all components of the model are…

Statistical Finance · Quantitative Finance 2008-12-02 Szabolcs Mike , J. Doyne Farmer

This paper presents a comprehensive study on the empirical dynamics of Uniswap v3 liquidity, which we model as a time-tick surface, $L_t(x)$. Using a combination of functional principal component analysis (FPCA) and dynamic factor methods,…

Trading and Market Microstructure · Quantitative Finance 2025-09-08 Jimmy Risk , Shen-Ning Tung , Tai-Ho Wang

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

One stylized feature of financial volatility impacting the modeling process is long memory. This paper examines long memory for alternative risk measures, observed absolute and squared returns for Daily REITs and compares the findings for a…

Statistical Finance · Quantitative Finance 2011-03-29 John Cotter , Simon Stevenson

Asset liquidity in modern financial markets is a key but elusive concept. A market is often said to be liquid when the prevailing structure of transactions provides a prompt and secure link between the demand and supply of assets, thus…

Trading and Market Microstructure · Quantitative Finance 2011-12-30 Alexandros Gabrielsen , Massimiliano Marzo , Paolo Zagaglia

Micro-action Recognition is vital for psychological assessment and human-computer interaction. However, existing methods often fail in real-world scenarios because inter-person variability causes the same action to manifest differently,…

Computer Vision and Pattern Recognition · Computer Science 2026-05-15 Feng-Qi Cui , Jinyang Huang , Anyang Tong , Ziyu Jia , Jie Zhang , Zhi Liu , Dan Guo , Jianwei Lu , Meng Wang

The limit order book (LOB) depicts the fine-grained demand and supply relationship for financial assets and is widely used in market microstructure studies. Nevertheless, the availability and high cost of LOB data restrict its wider…

Trading and Market Microstructure · Quantitative Finance 2021-07-02 Zijian Shi , John Cartlidge

The effect of leverage on liquidity is a tool for analysing the level of liquidity for a given production process. It measures the sensitivity of the level of liquidity that results from changes in the volume of production and unit…

General Finance · Quantitative Finance 2010-04-08 Jean-Claude Juhel

Using a large dataset on major FX rates, we test the robustness of the rough fractional volatility model over different time scales, by including smoothing and measurement errors into the analysis. Our findings lead to new stylized facts in…

Statistical Finance · Quantitative Finance 2021-11-09 Matthieu Garcin , Martino Grasselli
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