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In the current era of worldwide stock market interdependencies, the global financial village has become increasingly vulnerable to systemic collapse. The recent global financial crisis has highlighted the necessity of understanding and…

General Finance · Quantitative Finance 2014-08-05 Wei Li , Dror Y. Kenett , Kazuko Yamasaki , H. Eugene Stanley , Shlomo Havlin

Using a metric related to the returns correlation, a method is proposed to reconstruct an economic space from the market data. A reduced subspace, associated to the systematic structure of the market, is identified and its dimension related…

Statistical Mechanics · Physics 2016-08-16 R. Vilela Mendes , Tanya Araújo , Francisco Louçã

We propose a novel approach that allows to calculate Hilbert transform based complex correlation for unevenly spaced data. This method is especially suitable for high frequency trading data, which are of a particular interest in finance.…

Statistical Finance · Quantitative Finance 2018-03-14 Mateusz Wilinski , Yuichi Ikeda , Hideaki Aoyama

This note discusses some of the aspects of a model for the covariance of equity returns based on a simple "isotropic" structure in which all pairwise correlations are taken to be the same value. The effect of the structure on feasible…

Portfolio Management · Quantitative Finance 2025-07-29 Graham L. Giller

This paper highlights the significance of mesoscale structures, particularly the core-periphery structure, in financial networks for portfolio optimization. We build portfolios of stocks belonging to the periphery part of the Planar…

Statistical Finance · Quantitative Finance 2024-05-24 Imran Ansari , Charu Sharma , Akshay Agrawal , Niteesh Sahni

In order to figure out and to forecast the emergence phenomena of social systems, we propose several probabilistic models for the analysis of financial markets, especially around a crisis. We first attempt to visualize the collective…

Statistical Finance · Quantitative Finance 2015-06-17 Takero Ibuki , Shunsuke Higano , Sei Suzuki , Jun-ichi Inoue , Anirban Chakraborti

The idea of spatial crosscorrelation was conceived of long ago. However, unlike the related spatial autocorrelation, the theory and method of spatial crosscorrelation analysis have remained undeveloped. This paper presents a set of models…

Physics and Society · Physics 2018-12-19 Yanguang Chen

We develop a new stock market index that captures the chaos existing in the market by measuring the mutual changes of asset prices. This new index relies on a tensor-based embedding of the stock market information, which in turn frees it…

Statistical Finance · Quantitative Finance 2021-06-09 Masoud Ataei , Shengyuan Chen , Zijiang Yang , M. Reza Peyghami

The presence of significant cross-correlations between the synchronous time evolution of a pair of equity returns is a well-known empirical fact. The Pearson correlation is commonly used to indicate the level of similarity in the price…

Statistical Finance · Quantitative Finance 2014-02-07 Dror Y. Kenett , Xuqing Huang , Irena Vodenska , Shlomo Havlin , H. Eugene Stanley

Financial correlation matrices measure the unsystematic correlations between stocks. Such information is important for risk management. The correlation matrices are known to be ``noise dressed''. We develop a new and alternative method to…

Statistical Mechanics · Physics 2009-11-07 Thomas Guhr , Bernd Kaelber

The concept of states of financial markets based on correlations has gained increasing attention during the last 10 years. We propose to retrace some important steps up to 2018, and then give a more detailed view of recent developments that…

Statistical Finance · Quantitative Finance 2021-07-14 Hirdesh K. Pharasi , Suchetana Sadhukhan , Parisa Majari , Anirban Chakraborti , Thomas H. Seligman

We study properties of the cross-sectional distribution of returns. A significant anti-correlation between dispersion and cross-sectional kurtosis is found such that dispersion is high but kurtosis is low in panic times, and the opposite in…

Statistical Finance · Quantitative Finance 2009-08-04 Lisa Borland

We discuss some methods to quantitatively investigate the properties of correlation matrices. Correlation matrices play an important role in portfolio optimization and in several other quantitative descriptions of asset price dynamics in…

Statistical Finance · Quantitative Finance 2010-08-25 M. Tumminello , F. Lillo , R. N. Mantegna

Identifying and quantifying co-dependence between financial instruments is a key challenge for researchers and practitioners in the financial industry. Linear measures such as the Pearson correlation are still widely used today, although…

Statistical Finance · Quantitative Finance 2023-12-29 Haochun Ma , Davide Prosperino , Alexander Haluszczynski , Christoph Räth

We present a multi-agent, AI-driven framework for fundamental investing that integrates macro indicators, industry-level and firm-specific information to construct optimized equity portfolios. The architecture comprises: (i) a Macro agent…

Portfolio Management · Quantitative Finance 2025-10-27 Chujun He , Zhonghao Huang , Xiangguo Li , Ye Luo , Kewei Ma , Yuxuan Xiong , Xiaowei Zhang , Mingyang Zhao

Asymmetries in volatility spillovers are highly relevant to risk valuation and portfolio diversification strategies in financial markets. Yet, the large literature studying information transmission mechanisms ignores the fact that bad and…

General Finance · Quantitative Finance 2014-07-29 Jozef Barunik , Evzen Kocenda , Lukas Vacha

An empirical study of joint bivariate probability distribution of two consecutive price increments for a set of stocks at time scales ranging from one minute to thirty minutes reveals asymmetric structures with respect to the axes y=0, y=x,…

Physics and Society · Physics 2008-12-02 Andrei Leonidov , Vladimir Trainin , Alexander Zaitsev , Sergey Zaitsev

Herd behavior is an important economic phenomenon, especially in the context of the recent financial crises. In this paper, herd behavior in global stock markets is investigated with a focus on intercontinental comparison. Since most…

Statistical Finance · Quantitative Finance 2013-08-20 Changki Kim , Yangho Choi , Woojoo Lee , Jae Youn Ahn

China's stock market is the largest emerging market all over the world. It is widely accepted that the Chinese stock market is far from efficiency and it possesses possible linear and nonlinear dependence. We study the predictability of…

Statistical Finance · Quantitative Finance 2017-02-08 Huai-Long Shi , Zhi-Qiang Jiang , Wei-Xing Zhou

Complex systems are usually non-stationary and their dynamics is often dominated by collective effects. Collectivity, defined as coherent motion of the whole system or of some of its parts, manifests itself in the time-dependent structures…

Statistical Finance · Quantitative Finance 2022-08-11 Anton J. Heckens , Thomas Guhr
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