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Using 1-min returns of Bitcoin prices, we investigate statistical properties and multifractality of a Bitcoin time series. We find that the 1-min return distribution is fat-tailed, and kurtosis largely deviates from the Gaussian…

Statistical Finance · Quantitative Finance 2018-05-29 Tetsuya Takaishi

Standard quantitative models of the stock market predict a log-normal distribution for stock returns (Bachelier 1900, Osborne 1959), but it is recognised (Fama 1965) that empirical data, in comparison with a Gaussian, exhibit leptokurtosis…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Gilles Daniel

We analyse the dependence of stock return cross-correlations on the sampling frequency of the data known as the Epps effect: For high resolution data the cross-correlations are significantly smaller than their asymptotic value as observed…

Statistical Finance · Quantitative Finance 2009-10-26 Bence Toth , Janos Kertesz

We follow the main stocks belonging to the New York Stock Exchange and to Nasdaq from 2003 to 2012, through years of normality and of crisis, and study the dynamics of networks built on two measures expressing relations between those…

Statistical Finance · Quantitative Finance 2014-09-02 Leonidas Sandoval Junior

We construct a price impact model between stocks in a correlated market. For the price change of a given stock induced by the short-run liquidity of this stock itself and of the information about other stocks, we introduce a self- and a…

Trading and Market Microstructure · Quantitative Finance 2019-04-23 Shanshan Wang , Thomas Guhr

This paper proposes a simple and parsimonious discrete-time simulation model to describe the endogenous formation and periodic collapse of financial bubbles. While existing literature has extensively explored the statistical properties of…

Trading and Market Microstructure · Quantitative Finance 2026-05-05 Naohiro Yoshida

This study investigates the volatility of daily Bitcoin returns and multifractal properties of the Bitcoin market by employing the rolling window method and examines relationships between the volatility asymmetry and market efficiency.…

Statistical Finance · Quantitative Finance 2021-02-18 Tetsuya Takaishi

We perform a scaling analysis on NYSE daily returns. We show that volatility correlations are power-laws on a time range from one day to one year and, more important, that they exhibit a multiscale behaviour.

Statistical Mechanics · Physics 2008-12-02 Michele Pasquini , Maurizio Serva

The analysis of market correlations is crucial for optimal portfolio selection of correlated assets, but their memory effects have often been neglected. In this work, we analyse the mean market correlation of the S&P500 which corresponds to…

Statistical Finance · Quantitative Finance 2026-03-03 Tobias Wand , Martin Heßler , Oliver Kamps

Network theory proved recently to be useful in the quantification of many properties of financial systems. The analysis of the structure of investment portfolios is a major application since their eventual correlation and overlap impact the…

Statistical Finance · Quantitative Finance 2018-01-09 Danilo Delpini , Stefano Battiston , Guido Caldarelli , Massimo Riccaboni

We report evidence of a deep interplay between cross-correlations hierarchical properties and multifractality of New York Stock Exchange daily stock returns. The degree of multifractality displayed by different stocks is found to be…

Statistical Finance · Quantitative Finance 2014-04-10 Raffaello Morales , T. Di Matteo , Tomaso Aste

Using a rolling windows analysis of filtered and aligned stock index returns from 40 countries during the period 2006-2014, we construct Granger causality networks and investigate the ensuing structure of the relationships by studying…

Economics · Quantitative Finance 2015-11-05 Stefan Lyocsa , Tomas Vyrost , Eduard Baumohl

Dow Jones Index time series exhibit irregular or fractal fluctuations on all time scales from days, months to years. The nonlinear fluctuations are selfsimilar as exhibited in inverse power law form for power spectra of temporal…

General Physics · Physics 2007-05-23 A. M. Selvam

Stock market indices are volatile by nature, and sudden shocks are known to affect volatility patterns. The autoregressive conditional heteroskedasticity (ARCH) and generalized ARCH (GARCH) models neglect structural breaks triggered by…

Methodology · Statistics 2023-10-05 Tzung Hsuen Khoo , Dharini Pathmanathan , Philipp Otto , Sophie Dabo-Niang

Crashes have fascinated and baffled many canny observers of financial markets. In the strict orthodoxy of the efficient market theory, crashes must be due to sudden changes of the fundamental valuation of assets. However, detailed empirical…

Trading and Market Microstructure · Quantitative Finance 2017-02-08 Jonathan Donier , Jean-Philippe Bouchaud

Investors in stock market are usually greedy during bull markets and scared during bear markets. The greed or fear spreads across investors quickly. This is known as the herding effect, and often leads to a fast movement of stock prices.…

General Finance · Quantitative Finance 2016-11-06 Wanfeng Yan , Edgar van Tuyll van Serooskerken

In addressing the question of the time scales characteristic for the market formation, we analyze high frequency tick-by-tick data from the NYSE and from the German market. By using returns on various time scales ranging from seconds or…

Statistical Mechanics · Physics 2009-11-10 J. Kwapien , S. Drozdz , J. Speth

The percolation model of stock market speculation allows an asymmetry (in the return distribution) leading to fast downward crashes and slow upward recovery. We see more small upturns and more intermediate downturns.

Statistical Mechanics · Physics 2009-11-07 Iksoo Chang , Dietrich Stauffer

We introduce a new measure of activity of financial markets that provides a direct access to their level of endogeneity. This measure quantifies how much of price changes are due to endogenous feedback processes, as opposed to exogenous…

Statistical Finance · Quantitative Finance 2012-05-16 Vladimir Filimonov , Didier Sornette

Stock prices are observed to be random walks in time despite a strong, long term memory in the signs of trades (buys or sells). Lillo and Farmer have recently suggested that these correlations are compensated by opposite long ranged…

Other Condensed Matter · Physics 2008-12-02 J. -P. Bouchaud , J. Kockelkoren , M. Potters