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The dynamics of financial markets are driven by the interactions between participants, as well as the trading mechanisms and regulatory frameworks that govern these interactions. Decision-makers would rather not ignore the impact of other…

Computational Finance · Quantitative Finance 2019-12-02 Mahmoud Mahfouz , Angelos Filos , Cyrine Chtourou , Joshua Lockhart , Samuel Assefa , Manuela Veloso , Danilo Mandic , Tucker Balch

We study the emergence of instabilities in a stylized model of a financial market, when different market actors calculate prices according to different (local) market measures. We derive typical properties for ensembles of large random…

Trading and Market Microstructure · Quantitative Finance 2012-09-04 Marco Bardoscia , Giacomo Livan , Matteo Marsili

We introduce a new Self-Organized Criticality (SOC) model for simulating price evolution in an artificial financial market, based on a multilayer network of traders. The model also implements, in a quite realistic way with respect to…

Trading and Market Microstructure · Quantitative Finance 2016-06-30 Alessio Emanuele Biondo , Alessandro Pluchino , Andrea Rapisarda

Financial market is an example of complex system, which is characterized by a highly intricate organization and the emergence of collective behavior. In this paper, we quantify this emergent dynamics in the financial market by using…

General Finance · Quantitative Finance 2011-09-07 Thomas Kauê Dal'Maso Peron , Francisco Aparecido Rodrigues

We explore a decomposition in which returns on a large class of portfolios relative to the market depend on a smooth non-negative drift and changes in the asset price distribution. This decomposition is obtained using general continuous…

Portfolio Management · Quantitative Finance 2018-10-31 Ricardo T. Fernholz , Caleb Stroup

Historical daily data for eleven years of the fifty constituent stocks of the NIFTY index traded on the National Stock Exchange have been analyzed to check for the stylized facts in the Indian market. It is observed that while some stylized…

Statistical Finance · Quantitative Finance 2024-05-29 Rituparna Sen , Manavthi S

This paper investigates the dynamics of in the S&P500 index from daily returns for the last 30 years. Using a stochastic geometry technique, each S&P500 yearly batch of data is embedded in a subspace that can be accurately described by a…

Statistical Mechanics · Physics 2016-08-16 Tanya Araújo , Francisco Louçã

In this paper we discuss a scaling approach to business fluctuations. Our starting point consists in recognizing that concepts and methods derived from physics have allowed economists to (re)discover a set of stylized facts which have to be…

In this paper we compare market price fluctuations with the response to fundamental price drops within the Lux-Marchesi model which is able to reproduce the most important stylized facts of real market data. Major differences can be…

Statistical Mechanics · Physics 2009-11-07 A. G. Zawadowski , R. Karadi , J. Kertesz

Diversity is a fundamental feature of ecosystems, even when the concept of ecosystem is extended to sociology or economics. Diversity can be intended as the count of different items, animals, or, more generally, interactions. There are two…

Physics and Society · Physics 2016-09-14 Andrea Tacchella , Riccardo Di Clemente , Andrea Gabrielli , Luciano Pietronero

We propose a combination of cluster analysis and stochastic process analysis to characterize high-dimensional complex dynamical systems by few dominating variables. As an example, stock market data are analyzed for which the dynamical…

Statistical Finance · Quantitative Finance 2015-03-10 Philip Rinn , Yuriy Stepanov , Joachim Peinke , Thomas Guhr , Rudi Schäfer

In the Cont-Bouchaud model [cond-mat/9712318] of stock markets, percolation clusters act as buying or selling investors and their statistics controls that of the price variations. Rather than fixing the concentration controlling each…

Statistical Mechanics · Physics 2009-10-31 Dietrich Stauffer , D. Sornette

In speculative markets, risk-free profit opportunities are eliminated by traders exploiting them. Markets are therefore often described as "informationally efficient", rapidly removing predictable price changes, and leaving only residual…

Trading and Market Microstructure · Quantitative Finance 2013-10-08 Felix Patzelt , Klaus R. Pawelzik

We demonstrate that minority mechanisms arise in the dynamics of markets because of effects of price impact; accordingly the relative importance of minority and delayed majority mechanisms depends on the frequency of trading. We then use…

Statistical Mechanics · Physics 2008-12-02 Damien Challet , Tobias Galla

Understanding the structure of financial markets deals with suitably determining the functional relation between financial variables. In this respect, important variables are the trading activity, defined here as the number of trades $N$,…

Trading and Market Microstructure · Quantitative Finance 2018-10-16 Mathias Pohl , Alexander Ristig , Walter Schachermayer , Ludovic Tangpi

We present a stochastic volatility market model where volatility is correlated with return and is represented by an Ornstein-Uhlenbeck process. With this model we exactly measure the leverage effect and other stylized facts, such as mean…

Condensed Matter · Physics 2007-05-23 Josep Perello , Jaume Masoliver

Price dynamics is analyzed in terms of a model which includes the possibility of effective forces due to trend followers or trend adverse strategies. The method is tested on the data of a minority-majority model and indeed it is capable of…

Physics and Society · Physics 2009-11-13 V. Alfi , A. De Martino , L. Pietronero , A. Tedeschi

We calculate the realized volatility in the spin model of financial markets and examine the returns standardized by the realized volatility. We find that moments of the standardized returns agree with the theoretical values of standard…

Computational Finance · Quantitative Finance 2016-11-28 Tetsuya Takaishi

The usage of a spot volatility estimate based on a volatility decomposition in a time-changed price-model according to the trading times is investigated. In this model clock-time volatility splits up into the product of tick-time volatility…

Probability · Mathematics 2016-05-10 Rainer Dahlhaus , Sophon Tunyavetchakit

In 2001, Rama Cont introduced a now-widely used set of 'stylized facts' to synthesize empirical studies of financial price changes (returns), resulting in 11 statistical properties common to a large set of assets and markets. These…

Statistical Finance · Quantitative Finance 2024-05-22 Ethan Ratliff-Crain , Colin M. Van Oort , James Bagrow , Matthew T. K. Koehler , Brian F. Tivnan
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