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We investigate the large-fluctuation dynamics in financial markets, based on the minute-to-minute and daily data of the Chinese Indices and German DAX. The dynamic relaxation both before and after the large fluctuations is characterized by…

General Finance · Quantitative Finance 2013-08-21 X. F. Jiang , T. T. Chen , B. Zheng

In this paper, we use the generalized Hurst exponent approach to study the multi- scaling behavior of different financial time series. We show that this approach is robust and powerful in detecting different types of multiscaling. We…

Statistical Finance · Quantitative Finance 2012-05-25 Jozef Barunik , Tomaso Aste , Tiziana Di Matteo , Ruipeng Liu

Motivated by the current fears of a potentially stagflationary global economic environment, this paper uses new and recently introduced mathematical techniques to study multivariate time series pertaining to country inflation (CPI),…

Statistical Finance · Quantitative Finance 2022-09-22 Nick James , Max Menzies , Kevin Chin

A new branch based on Markov processes is developing in the recent literature of financial time series modeling. In this paper, an Indexed Markov Chain has been used to model high frequency price returns of quoted firms. The peculiarity of…

Statistical Finance · Quantitative Finance 2018-02-06 Guglielmo D'Amico , Ada Lika , Filippo Petroni

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

Financial markets across all asset classes are known to exhibit trends. These trends have been exploited by traders for decades. Here, we empirically measure when trends revert, based on 30 years of daily futures prices for equity indices,…

Statistical Finance · Quantitative Finance 2021-07-26 Christof Schmidhuber

We experimentally demonstrate that highly structured distributions of work emerge during even the simple task of erasing a single bit. These are signatures of a refined suite of time-reversal symmetries in distinct functional classes of…

Predicting panic is of critical importance in many areas of human and animal behavior, notably in the context of economics. The recent financial crisis is a case in point. Panic may be due to a specific external threat, or self-generated…

Statistical Finance · Quantitative Finance 2011-02-15 Dion Harmon , Marcus A. M. de Aguiar , David D. Chinellato , Dan Braha , Irving R. Epstein , Yaneer Bar-Yam

Scaling properties in financial fluctuations are reviewed from the standpoint of statistical physics. We firstly show theoretically that the balance of demand and supply enhances fluctuations due to the underlying phase transition…

Statistical Mechanics · Physics 2008-12-10 H. Takayasu , M. Takayasu , M. P. Okazaki , K. Marumo , T. Shimizu

We investigate the use of the Hurst exponent, dynamically computed over a moving time-window, to evaluate the level of stability/instability of financial firms. Financial firms bailed-out as a consequence of the 2007-2010 credit crisis show…

Statistical Finance · Quantitative Finance 2013-05-24 Raffaello Morales , T. Di Matteo , Ruggero Gramatica , Tomaso Aste

The goal of this investigation was to overcome limitations of a persistency analysis, introduced by Benoit Mandelbrot for fractal Brownian processes: nondifferentiability, Brownian nature of process and a linear memory measure. We have…

Statistical Finance · Quantitative Finance 2014-09-23 Sergey A. Kamenshchikov

Financial networks are dynamic. To assess their systemic importance to the world-wide economic network and avert losses we need models that take the time variations of the links and nodes into account. Using the methodology of classical…

Risk Management · Quantitative Finance 2014-12-10 Nima Dehmamy , Sergey V. Buldyrev , Shlomo Havlin , H. Eugene Stanley , Irena Vodenska

For the pedestrian observer, financial markets look completely random with erratic and uncontrollable behavior. To a large extend, this is correct. At first approximation the difference between real price changes and the random walk model…

Statistical Finance · Quantitative Finance 2011-08-22 Laurent Schoeffel

We discuss a simple model based on the Minority Game which reproduces the main stylized facts of anomalous fluctuations in finance. We present the analytic solution of the model in the thermodynamic limit and show that stylized facts arise…

Statistical Mechanics · Physics 2009-11-07 Damien Challet , Matteo Marsili

We study the nature of fluctuations in variety of price indices involving companies listed on the New York Stock Exchange. The fluctuations at multiple scales are extracted through the use of wavelets belonging to Daubechies basis. The fact…

Statistical Finance · Quantitative Finance 2013-03-26 Prasanta K. Panigrahi , Sayantan Ghosh , Arjun Banerjee , Jainendra Bahadur , P. Manimaran

It is shown using Monte Carlo simulation that for low multiplicity events the single-event factorial moments are saturated by the statistical fluctuations. The diverse of the event-space moments $C_{p,q}$ of single-event moments with the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Liu Lianshou , Fu Jinghua , Wu Yuanfang

In financial markets, greater volatility is usually considered synonym of greater risk and instability. However, large market downturns and upturns are often preceded by long periods where price returns exhibit only small fluctuations. To…

Statistical Finance · Quantitative Finance 2018-06-13 Davide Valenti , Giorgio Fazio , Bernardo Spagnolo

One of the major issues studied in finance that has always intrigued, both scholars and practitioners, and to which no unified theory has yet been discovered, is the reason why prices move over time. Since there are several well-known…

Statistical Finance · Quantitative Finance 2008-12-02 Sonia R. Bentes , Rui Menezes , Diana A. Mendes

Catastrophic events, though rare, do occur and when they occur, they have devastating effects. It is, therefore, of utmost importance to understand the complexity of the underlying dynamics and signatures of catastrophic events, such as…

General Finance · Quantitative Finance 2018-09-25 Anirban Chakraborti , Kiran Sharma , Hirdesh K. Pharasi , Sourish Das , Rakesh Chatterjee , Thomas H. Seligman

Continuous periodogram power spectral analysis of daily incidence of acute myocardial infarction (AMI) reported at a leading hospital for cardiology in Pune, India for the two-year period June 1992 to May 1994 show that the power spectra…

chao-dyn · Physics 2007-05-23 A. M. Selvam , D. Sen , S. M. S. Mody
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