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We study the time dependence of maximal spanning trees and asset graphs based on correlation matrices of stock returns. In these networks the nodes represent companies and links are related to the correlation coefficients between them.…

Physics and Society · Physics 2009-11-13 Tapio Heimo , Kimmo Kaski , Jari Saramaki

A large collection of daily time series for 60 world currencies' exchange rates is considered. The correlation matrices are calculated and the corresponding Minimal Spanning Tree (MST) graphs are constructed for each of those currencies…

Statistical Finance · Quantitative Finance 2009-11-13 A. Z. Gorski , S. Drozdz , J. Kwapien

In this article we review several techniques to extract information from stock market data. We discuss recurrence analysis of time series, decomposition of aggregate correlation matrices to study co-movements in financial data, stock level…

General Finance · Quantitative Finance 2016-07-20 Kiran Sharma , Shreyansh Shah , Anindya S. Chakrabarti , Anirban Chakraborti

Using a portfolio of stocks from the London Stock Exchange FTSE100 index (FTSE), we study both the time dependence of their correlations and the normalized tree length of the associated minimal spanning tree (MST). The first four moments of…

Physics and Society · Physics 2009-09-29 R. Coelho , S. Hutzler , P. Repetowicz , P. Richmond

We investigate financial market correlations using random matrix theory and principal component analysis. We use random matrix theory to demonstrate that correlation matrices of asset price changes contain structure that is incompatible…

Statistical Finance · Quantitative Finance 2015-03-17 Daniel J. Fenn , Mason A. Porter , Stacy Williams , Mark McDonald , Neil F. Johnson , Nick S. Jones

Recent developments in the global liberalization of equity and currency markets, coupled to advances in trading technologies, are making markets increasingly interdependent. This increased fluidity raises questions about the stability of…

adap-org · Physics 2019-08-15 Tad Hogg , Bernardo A. Huberman , Michael Youssefmir

Correlation matrices of foreign exchange rate time series are investigated for 60 world currencies. Minimal Spanning Tree (MST) graphs for the gold, silver and platinum are presented. Inverse power like scaling is discussed for these graphs…

Statistical Finance · Quantitative Finance 2008-12-02 A Z Gorski , S. Drozdz , J. Kwapien

Market confidence is essential for successful investing. By incorporating multi-market into the evolutionary minority game, we investigate the effects of investor beliefs on the evolution of collective behaviors and asset prices. When there…

Trading and Market Microstructure · Quantitative Finance 2015-06-18 Li-Xin Zhong , Wen-Juan Xu , Ping Huang , Chen-Yang Zhong , Tian Qiu

To identify emerging interdependencies between traded stocks we investigate the behavior of the stocks of FTSE 100 companies in the period 2000-2015, by looking at daily stock values. Exploiting the power of information theoretical measures…

Statistical Finance · Quantitative Finance 2017-07-05 Jacopo Rocchi , Enoch Yan Lok Tsui , David Saad

We investigate a factor that can affect the number of links of a specific stock in a network between stocks created by the minimal spanning tree (MST) method, by using individual stock data listed on the S&P500 and KOSPI. Among the common…

Data Analysis, Statistics and Probability · Physics 2015-06-26 Cheoljun Eom , Gabjin Oh , Seunghwan Kim

The recent financial crisis has stressed the need to understand financial systems as networks of interdependent countries, where cross-border financial linkages play the fundamental role. It has also been emphasized that the relevance of…

Statistical Finance · Quantitative Finance 2015-06-03 Alessandro Spelta , Tanya Araújo

Since the beginning of the new millennium, stock markets went through every state from long-time troughs, trade suspensions to all-time highs. The literature on asset pricing hence assumes random processes to be underlying the movement of…

Statistical Finance · Quantitative Finance 2019-06-26 Tanya Araújo , Maximilian Göbel

The construction of minimum spanning trees (MSTs) from correlation matrices is an often used method to study relationships in the financial markets. However most of the work on this topic tends to use the Pearson correlation coefficient,…

Computational Engineering, Finance, and Science · Computer Science 2021-02-03 Tristan Millington , Mahesan Niranjan

We investigated the temporally evolving network structures of the Japanese and Korean stock markets through the minimum spanning trees composed of listed stocks. We tested the validity of conventional grouping by industrial categories, and…

Physics and Society · Physics 2008-12-02 Woo-Sung Jung , Okyu Kwon , Taisei Kaizoji , Seungbyung Chae , Hie-Tae Moon

A complete understanding of real networks requires us to understand the consequences of the uneven interaction strengths between a system's components. Here we use the minimum spanning tree (MST) to explore the effect of weight assignment…

Disordered Systems and Neural Networks · Physics 2007-05-23 P. J. Macdonald , E. Almaas , A. -L. Barabasi

Time series of price returns for 80 of the most liquid cryptocurrencies listed on Binance are investigated for the presence of detrended cross-correlations. A spectral analysis of the detrended correlation matrix and a topological analysis…

Statistical Finance · Quantitative Finance 2021-12-14 Jarosław Kwapień , Marcin Wątorek , Stanisław Drożdż

We present an outlook of the studies on correlations in the price timeseries of stocks, discussing the construction and applications of "asset tree". The topic discussed here should illustrate how the complex economic system (financial…

Physics and Society · Physics 2015-06-26 Anirban Chakraborti

In a highly interdependent economic world, the nature of relationships between financial entities is becoming an increasingly important area of study. Recently, many studies have shown the usefulness of minimal spanning trees (MST) in…

Statistical Finance · Quantitative Finance 2013-08-19 Zeyu Zheng , Kazuko Yamasaki , Joel N. Tenenbaum , H. Eugene Stanley

Stock market indices are one of the most investigated complex systems in econophysics. Here we extend the existing literature on stock markets in connection with nonextensive statistical mechanics. We explore the nonextensivity of price…

Statistical Finance · Quantitative Finance 2019-05-01 Dusan Stosic , Darko Stosic , Tatijana Stosic

Financial empirical correlation matrices of all the companies which both, the Deutsche Aktienindex (DAX) and the Dow Jones comprised during the time period 1990-1999 are studied using a time window of a limited, either 30 or 60, number of…

Statistical Mechanics · Physics 2008-12-02 S. Drozdz , F. Gruemmer , F. Ruf , J. Speth