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This paper studies the trading volumes and wealth distribution of a novel agent-based model of an artificial financial market. In this model, heterogeneous agents, behaving according to the Von Neumann and Morgenstern utility theory, may…

General Finance · Quantitative Finance 2015-09-09 Pietro DeLellis , Franco Garofalo , Francesco Lo Iudice , Elena Napoletano

Recently, Mike and Farmer have constructed a very powerful and realistic behavioral model to mimick the dynamic process of stock price formation based on the empirical regularities of order placement and cancelation in a purely order-driven…

Statistical Finance · Quantitative Finance 2009-02-23 Gao-Feng Gu , Wei-Xing Zhou

Pareto law, which states that wealth distribution in societies have a power-law tail, has been a subject of intensive investigations in statistical physics community. Several models have been employed to explain this behavior. However, most…

Trading and Market Microstructure · Quantitative Finance 2009-11-13 M. Ali Saif , Prashant M. Gade

Large deviations for fat tailed distributions, i.e. those that decay slower than exponential, are not only relatively likely, but they also occur in a rather peculiar way where a finite fraction of the whole sample deviation is concentrated…

Statistical Mechanics · Physics 2015-06-03 Mario Filiasi , Giacomo Livan , Matteo Marsili , Maria Peressi , Erik Vesselli , Elia Zarinelli

We present a simple order book mechanism that regulates an artificial financial market with self-organized criticality dynamics and fat tails of returns distribution. The model shows the role played by individual imitation in determining…

Trading and Market Microstructure · Quantitative Finance 2016-02-29 Alessio Emanuele Biondo , Alessandro Pluchino , Andrea Rapisarda

We build an agent-based model to study how the interplay between low- and high-frequency trading affects asset price dynamics. Our main goal is to investigate whether high-frequency trading exacerbates market volatility and generates flash…

Trading and Market Microstructure · Quantitative Finance 2014-02-11 Sandrine Jacob Leal , Mauro Napoletano , Andrea Roventini , Giorgio Fagiolo

In a recent paper, Alfonsi, Fruth and Schied (AFS) propose a simple order book based model for the impact of large orders on stock prices. They use this model to derive optimal strategies for the execution of large orders. We apply these…

Trading and Market Microstructure · Quantitative Finance 2010-01-11 Alexander Weiss

This paper introduces a flexible framework for the estimation of the conditional tail index of heavy tailed distributions. In this framework, the tail index is computed from an auxiliary linear regression model that facilitates estimation…

Econometrics · Economics 2024-09-23 João Nicolau , Paulo M. M. Rodrigues

The purpose of this paper is to show that the use of heavy-tailed distributions in Financial problems is theoretically baseless and can lead to significant misunderstandings. The reason for this the authors see in an incorrect…

Probability · Mathematics 2015-07-29 Lev B Klebanov , Irina V Volchenkova

We empirically study the market impact of trading orders. We are specifically interested in large trading orders that are executed incrementally, which we call hidden orders. These are reconstructed based on information about market member…

Trading and Market Microstructure · Quantitative Finance 2015-05-13 Esteban Moro , Javier Vicente , Luis G. Moyano , Austin Gerig , J. Doyne Farmer , Gabriella Vaglica , Fabrizio Lillo , Rosario N. Mantegna

Recent technological developments have changed the fundamental ways stock markets function, bringing regulatory instances to assess the benefits of these developments. In parallel, the ongoing machine learning revolution and its multiple…

Trading and Market Microstructure · Quantitative Finance 2023-02-09 Johann Lussange , Boris Gutkin

Understanding the statistical properties of recurrence intervals of extreme events is crucial to risk assessment and management of complex systems. The probability distributions and correlations of recurrence intervals for many systems have…

Statistical Finance · Quantitative Finance 2012-05-10 Hao Meng , Fei Ren , Gao-Feng Gu , Xiong Xiong , Yong-Jie Zhang , Wei-Xing Zhou , Wei Zhang

Standard models in economics stress the role of intelligent agents who maximize utility. However, there may be situations where, for some purposes, constraints imposed by market institutions dominate intelligent agent behavior. We use data…

Statistical Mechanics · Physics 2008-12-02 J. Doyne Farmer , Paolo Patelli , Ilija I. Zovko

Over the last few decades power law distributions have been suggested as forming generative mechanisms in a variety of disparate fields, such as, astrophysics, criminology and database curation. However, fitting these heavy tailed…

Computation · Statistics 2014-08-26 Colin S. Gillespie

We empirically analyze a large sample of firm sales growth expectations. We find that the relationship between forecast errors and lagged revision is non-linear. Forecasters underreact to typical (positive or negative) news about future…

Statistical Finance · Quantitative Finance 2022-10-20 Eugene Larsen-Hallock , Adam Rej , David Thesmar

We introduce a deterministic dealer model which implements most of the empirical laws, such as fat tails in the price change distributions, long term memory of volatility and non-Poissonian intervals. We also clarify the causality between…

Physics and Society · Physics 2009-11-13 Kenta Yamada , Hideki Takayasu , Misako Takayasu

We study the large-time asymptotic of renewal-reward processes with a heavy-tailed waiting time distribution. It is known that the heavy tail of the distribution produces an extremely slow dynamics, resulting in a singular large deviation…

Mathematical Physics · Physics 2022-01-05 Hiroshi Horii , Raphael Lefevere , Takahiro Nemoto

This paper presents an agent based model of an electronic market with two types of trading agents. One type follows a mean reverting strategy and the other, the speculative trader, tracks the maximum realised return over recent trades. The…

Trading and Market Microstructure · Quantitative Finance 2023-11-22 Nicolas Cofre , Magdalena Mosionek-Schweda

We study the cause of large fluctuations in prices in the London Stock Exchange. This is done at the microscopic level of individual events, where an event is the placement or cancellation of an order to buy or sell. We show that price…

Other Condensed Matter · Physics 2008-12-02 J. Doyne Farmer , Laszlo Gillemot , Fabrizio Lillo , Szabolcs Mike , Anindya Sen

Financial time series have been investigated to follow fat-tailed distributions. Further, an empirical probability distribution sometimes shows cut-off shapes on its tails. To describe this stylized fact, we incorporate the cut-off effect…

Statistical Finance · Quantitative Finance 2019-06-26 Yusuke Uchiyama , Takanori Kadoya