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In this brief review, we critically examine the recent work done on correlation-based networks in financial systems. The structure of empirical correlation matrices constructed from the financial market data changes as the individual stock…

Computational Finance · Quantitative Finance 2020-04-21 Vishwas Kukreti , Hirdesh K. Pharasi , Priya Gupta , Sunil Kumar

It is commonly believed that the correlations between stock returns increase in high volatility periods. We investigate how much of these correlations can be explained within a simple non-Gaussian one-factor description with time…

Disordered Systems and Neural Networks · Physics 2008-12-02 Pierre Cizeau , Marc Potters , Jean-Philippe Bouchaud

Financial networks have become extremely useful in characterizing the structure of complex financial systems. Meanwhile, the time evolution property of the stock markets can be described by temporal networks. We utilize the temporal network…

Statistical Finance · Quantitative Finance 2018-07-04 Longfeng Zhao , Gang-Jin Wang , Mingang Wang , Weiqi Bao , Wei Li , H. Eugene Stanley

We show that results from the theory of random matrices are potentially of great interest to understand the statistical structure of the empirical correlation matrices appearing in the study of price fluctuations. The central result of the…

Condensed Matter · Physics 2009-10-31 Laurent Laloux , Pierre Cizeau , Jean-Philippe Bouchaud , Marc Potters

We review recent progress in modeling credit risk for correlated assets. We start from the Merton model which default events and losses are derived from the asset values at maturity. To estimate the time development of the asset values, the…

Risk Management · Quantitative Finance 2018-03-02 Andreas Mühlbacher , Thomas Guhr

The purpose of this study is to estimate the correlation structure between multiple assets using financial text analysis. In recent years, as the background of elevating inflation in the global economy and monetary policy tightening by…

Computation and Language · Computer Science 2024-05-24 Yasuhiro Nakayama , Tomochika Sawaki , Issei Furuya , Shunsuke Tamura

We show that financial correlations exhibit a non-trivial dynamic behavior. We introduce a simple phenomenological model of a multi-asset financial market, which takes into account the impact of portfolio investment on price dynamics. This…

Physics and Society · Physics 2009-11-11 Giacomo Raffaelli , Matteo Marsili

In order to pursue the issue of the relation between the financial cross-correlations and the conventional Random Matrix Theory we analyse several characteristics of the stock market correlation matrices like the distribution of…

Statistical Finance · Quantitative Finance 2008-12-02 S. Drozdz , J. Kwapien , P. Oswiecimka

This paper derives the expressions of correlations between prices of two assets, returns of two assets, and price-return correlations of two assets that depend on statistical moments and correlations of the current values, past values, and…

General Economics · Economics 2024-12-18 Victor Olkhov

Financial markets are highly correlated systems that reveal both the inter-market dependencies and the correlations among their different components. Standard analyzing techniques include correlation coefficients for pairs of signals and…

Physics and Society · Physics 2008-12-02 J. Kwapien , S. Drozdz , A. Z. Gorski , P. Oswiecimka

We investigate the daily correlation present among market indices of stock exchanges located all over the world in the time period Jan 1996 - Jul 2009. We discover that the correlation among market indices presents both a fast and a slow…

Statistical Finance · Quantitative Finance 2011-08-16 Dong-Ming Song , Michele Tumminello , Wei-Xing Zhou , Rosario N. Mantegna

The value of an asset in a financial market is given in terms of another asset known as numeraire. The dynamics of the value is non-stationary and hence, to quantify the relationships between different assets, one requires convenient…

Statistical Finance · Quantitative Finance 2019-06-26 Lasko Basnarkov , Viktor Stojkoski , Zoran Utkovski , Ljupco Kocarev

We study the method for detecting relationship changes in financial markets and providing human-interpretable network visualization to support the decision-making of fund managers dealing with multi-assets. First, we construct co-occurrence…

General Finance · Quantitative Finance 2020-11-17 Makoto Naraoka , Teruaki Hayashi , Takaaki Yoshino , Toshiaki Sugie , Kota Takano , Yukio Ohsawa

The correlation coefficient between stocks depends on price history and includes information on hierarchical structure in financial markets. It is useful for portfolio selection and estimation of risk. I introduce the Life Time of…

General Finance · Quantitative Finance 2011-06-01 Andrzej Buda

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

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

Most finance studies are discussed on the basis of several hypotheses, for example, investors rationally optimize their investment strategies. However, the hypotheses themselves are sometimes criticized. Market impacts, where trades of…

Computational Finance · Quantitative Finance 2022-02-03 Takanobu Mizuta , Isao Yagi , Kosei Takashima

We analyze the spectral properties of correlation matrices between distinct statistical systems. Such matrices are intrinsically non symmetric, and lend themselves to extend the spectral analyses usually performed on standard Pearson…

Statistical Finance · Quantitative Finance 2012-06-29 Giacomo Livan , Luca Rebecchi

What is the dominating mechanism of the price dynamics in financial systems is of great interest to scientists. The problem whether and how volatilities affect the price movement draws much attention. Although many efforts have been made,…

General Finance · Quantitative Finance 2015-02-04 Lei Tan , Bo Zheng , Jun-Jie Chen , Xiong-Fei Jiang

The dynamic network of relationships among corporations underlies cascading economic failures including the current economic crisis, and can be inferred from correlations in market value fluctuations. We analyze the time dependence of the…

Statistical Finance · Quantitative Finance 2010-11-18 Dion Harmon , Blake Stacey , Yavni Bar-Yam , Yaneer Bar-Yam
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