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Firm disclosures about future prospects are crucial for corporate valuation and compliance with global regulations, such as the EU's MAR and the US's SEC Rule 10b-5 and RegFD. To comply with disclosure obligations, issuers must identify…

Statistical Finance · Quantitative Finance 2023-11-21 Moritz Scherrmann , Ralf Elsas

In this paper, we present a multi-period trading model in the style of Kyle (1985)'s inside trading model, by assuming that there are at least two insiders in the market with long-lived private information, under the requirement that each…

Trading and Market Microstructure · Quantitative Finance 2011-03-07 Fuzhou Gong , Hong Liu

We investigate the random walk of prices by developing a simple model relating the properties of the signs and absolute values of individual price changes to the diffusion rate (volatility) of prices at longer time scales. We show that this…

Statistical Finance · Quantitative Finance 2009-11-13 Gabriele La Spada , J. Doyne Farmer , Fabrizio Lillo

Using Trades and Quotes data from the Paris stock market, we show that the random walk nature of traded prices results from a very delicate interplay between two opposite tendencies: long-range correlated market orders that lead to…

Statistical Mechanics · Physics 2008-12-02 Jean-Philippe Bouchaud , Yuval Gefen , Marc Potters , Matthieu Wyart

The decision process requires information about the present state of the system, but in economy acquiring data and processing them is an expensive and time consuming process. Therefore the state of the system is measured and announced at…

Physics and Society · Physics 2007-09-21 Janusz Miskiewicz

It is widely believed that fluctuations in transaction volume, as reflected in the number of transactions and to a lesser extent their size, are the main cause of clustered volatility. Under this view bursts of rapid or slow price diffusion…

Physics and Society · Physics 2008-12-02 Laszlo Gillemot , J. Doyne Farmer , Fabrizio Lillo

Observations indicate that the distributions of stock returns in financial markets usually do not conform to normal distributions, but rather exhibit characteristics of high peaks, fat tails and biases. In this work, we assume that the…

Statistical Finance · Quantitative Finance 2023-12-06 Bo Li

Multifractal analysis and extensive statistical tests are performed upon intraday minutely data within individual trading days for four stock market indexes (including HSI, SZSC, S&P500, and NASDAQ) to check whether the indexes (instead of…

Statistical Finance · Quantitative Finance 2008-12-02 Zhi-Qiang Jiang , Wei-Xing Zhou

We present an experimental and simulated model of a multi-agent stock market driven by a double auction order matching mechanism. Studying the effect of cumulative information on the performance of traders, we find a non monotonic…

Physics and Society · Physics 2009-11-13 Bence Toth , Enrico Scalas , Juergen Huber , Michael Kirchler

In 1996, Pikovsky and Karatzas did one of the earliest studies on portfolio optimization problems in presence of insider information. They were able to successfully show that the knowledge of the stock price at future time is an insider…

Probability · Mathematics 2019-10-29 Bernardo D'Auria , José Antonio Salmerón

We empirically analyze the reversion of financial market trends with time horizons ranging from minutes to decades. The analysis covers equities, interest rates, currencies and commodities and combines 14 years of futures tick data, 30…

Statistical Finance · Quantitative Finance 2025-06-02 Sara A. Safari , Christof Schmidhuber

We study the high frequency price dynamics of traded stocks by a model of returns using a semi-Markov approach. More precisely we assume that the intraday return are described by a discrete time homogeneous semi-Markov process and the…

Statistical Finance · Quantitative Finance 2012-08-24 Guglielmo D'Amico , Filippo Petroni

Financial markets show a number of non-stationarities, ranging from volatility fluctuations over ever changing technical and regulatory market conditions to seasonalities. On the other hand, financial markets show various stylized facts…

Trading and Market Microstructure · Quantitative Finance 2018-12-19 Sebastian M. Krause , Jonas A. Fiegen , Thomas Guhr

We present an empirical argument against the existence of single timeline backward time travel using the price behavior of prediction markets. If rational agents could travel backward in time, binary prediction contracts would converge to…

Popular Physics · Physics 2026-03-19 David Awad

We establish several new stylised facts concerning the intra-day seasonalities of stock dynamics. Beyond the well known U-shaped pattern of the volatility, we find that the average correlation between stocks increases throughout the day,…

Statistical Finance · Quantitative Finance 2013-01-29 Romain Allez , Jean-Philippe Bouchaud

Based on the tick-by-tick price changes of the companies from the U.S. and from the German stock markets over the period 1998-99 we reanalyse several characteristics established by the Boston Group for the U.S. market in the period 1994-95,…

Soft Condensed Matter · Physics 2008-12-02 S. Drozdz , J. Kwapien , F. Gruemmer , F. Ruf , J. Speth

This paper studies learning in markets with aggregate uncertainty about whether trade is efficient. A long-lived seller offers prices to buyers, who are short-lived and arrive according to a Poisson process. A hidden state determines…

Theoretical Economics · Economics 2026-01-14 Justus Preusser

Large variations in stock prices happen with sufficient frequency to raise doubts about existing models, which all fail to account for non-Gaussian statistics. We construct simple models of a stock market, and argue that the large…

Condensed Matter · Physics 2015-06-25 P. Bak , M. Paczuski , M. Shubik

Modeling stock returns is not a new task for mathematicians, investors, and portfolio managers, but it remains a difficult objective due to the ebb and flow of stock markets. One common solution is to approximate the distribution of stock…

Mathematical Finance · Quantitative Finance 2019-06-26 David Toth , Bruce Jones

Summarized by the efficient market hypothesis, the idea that stock prices fully reflect all available information is always confronted with the behavior of real-world markets. While there is plenty of evidence indicating and quantifying the…

Physics and Society · Physics 2020-12-16 Luiz G. A. Alves , Higor Y. D. Sigaki , Matjaz Perc , Haroldo V. Ribeiro