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A property of data which is common across a wide range of instruments, markets and time periods is known as stylized empirical fact in the financial statistics literature. This paper first presents a wide range of stylized facts studied in…

Statistical Finance · Quantitative Finance 2023-10-03 Vaibhav Sherkar , Rituparna Sen

In the theory of financial markets, a stylized fact is a qualitative summary of a pattern in financial market data that is observed across multiple assets, asset classes and time horizons. In this article, we test a set of eleven stylized…

Statistical Finance · Quantitative Finance 2025-04-14 Sara A. Safari , Maximilian Janisch , Thomas Lehéricy

Universal features in stock markets and their derivative markets are studied by means of probability distributions in internal rates of return on buy and sell transaction pairs. Unlike the stylized facts in log normalized returns, the…

Information Theory · Computer Science 2009-11-11 Lukas Pichl , Taisei Kaizoji , Takuya Yamano

The existence of stylized facts in financial data has been documented in many studies. In the past decade the modeling of financial markets by agent-based computational economic market models has become a frequently used modeling approach.…

General Finance · Quantitative Finance 2019-12-06 Simon Cramer , Torsten Trimborn

We propose a new set of stylized facts quantifying the structure of financial markets. The key idea is to study the combined structure of both investment strategies and prices in order to open a qualitatively new level of understanding of…

Statistical Finance · Quantitative Finance 2015-03-19 Wei-Xing Zhou , Guo-Hua Mu , Wei Chen , Didier Sornette

This paper outlines an agent-based model of a simple financial market in which a single asset is available for trade by three different types of traders. The model was first introduced in the PhD thesis of one of the authors, see reference…

Trading and Market Microstructure · Quantitative Finance 2019-01-17 Elena Green , Daniel M. Heffernan

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

We propose a new method (implemented in an R-program) to simulate long-range daily stock-price data. The program reproduces various stylized facts much better than various parametric models from the extended GARCH-family. In particular, the…

Statistical Finance · Quantitative Finance 2016-12-16 Laurie Davies , Walter Krämer

The analysis of financial markets using models inspired by statistical physics offers a fruitful approach to understand collective and extreme phenomena [3, 14, 15] In this paper, we present a study based on a 2D Ising network model where…

Statistical Finance · Quantitative Finance 2025-12-23 Hernán Ezequiel Benítez , Claudio Oscar Dorso

We organize existing empirical regularities of cryptocurrencies into seven stylized facts and analyze cryptocurrencies through the lens of empirical asset pricing. We find important similarities with traditional markets--risk-adjusted…

General Finance · Quantitative Finance 2026-03-24 Nicola Borri , Yukun Liu , Aleh Tsyvinski , Xi Wu

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

Stylized facts can be regarded as constraints for any modeling attempt of price dynamics on a financial market, in that an empirically reasonable model has to reproduce these stylized facts at least qualitatively. The dynamics of market…

Computational Finance · Quantitative Finance 2010-04-12 Stefan Reimann , Andreas Tupak

Multivariate probability density functions of returns are constructed in order to model the empirical behavior of returns in a financial time series. They describe the well-established deviations from the Gaussian random walk, such as an…

Other Condensed Matter · Physics 2009-11-10 M. I. Krivoruchenko , E. Alessio , V. Frappietro , L. J. Streckert

We present some stylized facts exhibited by the time series of returns of the Mexican Stock Exchange Index (IPC) and compare them to a sample of both developed (USA, UK and Japan) and emerging markets (Brazil and India). The period of study…

Statistical Finance · Quantitative Finance 2014-12-11 Omar Rojas , Carlos Trejo-Pech

Generative models for financial time series often create data that look realistic and even reproduce stylized facts such as fat tails or volatility clustering. However, these apparent successes break down under trading backtests: models…

Statistical Finance · Quantitative Finance 2026-01-21 Fan Zhang , Jiabin Luo , Zheng Zhang , Shuanghong Huang , Zhipeng Liu , Yu Chen

This paper proposes a methodology to empirically validate an agent-based model (ABM) that generates artificial financial time series data comparable with real-world financial data. The approach is based on comparing the results of the ABM…

Computational Finance · Quantitative Finance 2022-06-22 Luis Goncalves de Faria

Employing a recent technique which allows the representation of nonstationary data by means of a juxtaposition of locally stationary patches of different length, we introduce a comprehensive analysis of the key observables in a financial…

Statistical Finance · Quantitative Finance 2013-05-03 Sabrina Camargo , Silvio M. Duarte Queiros , Celia Anteneodo

Prices in financial markets exhibit extreme jumps far more often than can be accounted for by external news. Further, magnitudes of price changes are correlated over long times. These so called stylized facts are quantified by scaling laws…

Trading and Market Microstructure · Quantitative Finance 2016-05-04 Felix Patzelt , Klaus Pawelzik

In this work we afford the statistical characterization of a linear Stochastic Volatility Model featuring Inverse Gamma stationary distribution for the instantaneous volatility. We detail the derivation of the moments of the return…

Statistical Finance · Quantitative Finance 2015-05-20 Danilo Delpini , Giacomo Bormetti

Macroscopic properties of equity markets affect the performance of active equity strategies but many are not adequately captured by conventional models of financial mathematics and econometrics. Using the CRSP Database of the US equity…

Statistical Finance · Quantitative Finance 2025-04-07 Steven Campbell , Qien Song , Ting-Kam Leonard Wong
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