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We study the tails of closing auction return distributions for a sample of liquid European stocks. We use the stochastic call auction model of Derksen et al. (2020a), to derive a relation between tail exponents of limit order placement…

Trading and Market Microstructure · Quantitative Finance 2020-12-21 M. Derksen , B. Kleijn , R. de Vilder

The aim of this paper is to propose a heterogeneous agent model of stock markets that develop complicated endogenous price fluctuations. We find occurrences of non-stationary chaos, or speculative bubble, are caused by the heterogeneity of…

Chaotic Dynamics · Physics 2013-09-11 Taisei Kaizoji

In a financial market, for agents with long investment horizons or at times of severe market stress, it is often changes in the asset price that act as the trigger for transactions or shifts in investment position. This suggests the use of…

Trading and Market Microstructure · Quantitative Finance 2015-05-13 H. Lamba

We present an agent based model of a single asset financial market that is capable of replicating several non-trivial statistical properties observed in real financial markets, generically referred to as stylized facts. While previous…

Computational Finance · Quantitative Finance 2017-04-12 Roberto Mota Navarro , Hernán Larralde Ridaura

We present a simple model of a stock market where a random communication structure between agents gives rise to a heavy tails in the distribution of stock price variations in the form of an exponentially truncated power-law, similar to…

Statistical Mechanics · Physics 2014-01-14 Rama Cont , Jean-Philippe Bouchaud

We consider the evolution of scale-free networks according to preferential attachment schemes and show the conditions for which the exponent characterizing the degree distribution is bounded by upper and lower values. Our framework is an…

Statistical Finance · Quantitative Finance 2013-01-07 João P. da Cruz , Pedro G. Lind

In this paper we develop a model of an order-driven market where traders set bids and asks and post market or limit orders according to exogenously fixed rules. Agents are assumed to have three components to the expectation of future asset…

Trading and Market Microstructure · Quantitative Finance 2009-02-16 Carl Chiarella , Giulia Iori , Josep Perello

We propose a static equilibrium model for limit order book where profit-maximizing investors receive an information signal regarding the liquidation value of the asset and execute via a competitive dealer with random initial inventory, who…

Trading and Market Microstructure · Quantitative Finance 2020-03-11 Umut Çetin , Henri Waelbroeck

The study of heavy-tailed distributions in economic and financial systems has been widely addressed since financial time series has become a research subject.After the eighties, several "highly improbable" market drops were observed (e.g.…

Computational Finance · Quantitative Finance 2012-02-02 João P. da Cruz , Pedro G. Lind

An exact solution is presented to a model that mimics the crowding effect in financial markets which arises when groups of agents share information. We show that the size distribution of groups of agents has a power law tail with an…

Statistical Mechanics · Physics 2007-05-23 R. D'hulst , G. J. Rodgers

In this study, we present a simple stochastic order-book model for investors' swarm behaviors seen in the continuous double auction mechanism, which is employed by major global exchanges. Our study shows a characteristic called "fat tail"…

Trading and Market Microstructure · Quantitative Finance 2015-06-23 Shingo Ichiki , Katsuhiro Nishinari

In this paper we present a novel approach to the determination of fat tails in financial data by studying the information contained in the limit order book. In an order-driven market buyers and sellers may submit limit orders, which are…

Trading and Market Microstructure · Quantitative Finance 2015-03-19 Alex Langnau , Yanko Punchev

This paper measures and compares the tail risks of limit and market orders using Extreme Value Theory. The analysis examines realised tail outcomes using the Dealing 2000-2 electronic broking system based on completed transactions rather…

Statistical Finance · Quantitative Finance 2011-03-30 john cotter , kevin dowd

Organizational growth processes have consistently been shown to exhibit a fatter-than-Gaussian growth-rate distribution in a variety of settings. Long periods of relatively small changes are interrupted by sudden changes in all size scales.…

Physics and Society · Physics 2014-08-13 Hernan Mondani , Petter Holme , Fredrik Liljeros

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

In this paper, we conduct a systematic large-scale analysis of order book-driven predictability in high-frequency returns by leveraging deep learning techniques. First, we introduce a new and robust representation of the order book, the…

Computational Finance · Quantitative Finance 2023-10-10 Lorenzo Lucchese , Mikko Pakkanen , Almut Veraart

This paper poses a few fundamental questions regarding the attributes of the volume profile of a Limit Order Books stochastic structure by taking into consideration aspects of intraday and interday statistical features, the impact of…

Statistical Finance · Quantitative Finance 2015-04-23 Kylie-Anne Richards , Gareth W. Peters , William Dunsmuir

It is well known that the distribution of returns from various financial instruments are leptokurtic, meaning that the distributions have "fatter tails" than a Normal distribution, and have skew toward zero. This paper presents a graceful…

Trading and Market Microstructure · Quantitative Finance 2013-04-03 Ben Klemens

Statistical properties of an order book and the effect they have on price dynamics were studied using the high-frequency NASDAQ Level II data. It was observed that the size distribution of marketable orders (transaction sizes) has power law…

Statistical Mechanics · Physics 2009-11-07 Sergei Maslov , Mark Mills

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
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