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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

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

In a system containing a large number of interacting stochastic processes, there will typically be many non-zero correlation coefficients. This makes it difficult to either visualize the system's inter-dependencies, or identify its dominant…

Other Condensed Matter · Physics 2011-09-06 Mark McDonald , Omer Suleman , Stacy Williams , Sam Howison , Neil F. Johnson

We analyze structure of the world foreign currency exchange (FX) market viewed as a network of interacting currencies. We analyze daily time series of FX data for a set of 63 currencies, including gold, silver and platinum. We group…

Statistical Finance · Quantitative Finance 2009-06-03 Jaroslaw Kwapien , Sylwia Gworek , Stanislaw Drozdz , Andrzej Gorski

By analyzing the foreign exchange market data of various currencies, we derive a hierarchical taxonomy of currencies constructing minimal-spanning trees. Clustered structure of the currencies and the key currency in each cluster are found.…

Physics and Society · Physics 2009-11-11 Takayuki Mizuno , Hideki Takayasu , Misako Takayasu

There is intense interest in understanding the stochastic and dynamical properties of the global Foreign Exchange (FX) market, whose daily transactions exceed one trillion US dollars. This is a formidable task since the FX market is…

Physics and Society · Physics 2009-11-11 Neil F. Johnson , Mark McDonald , Omer Suleman , Stacy Williams , Sam Howison

We studied the topology of correlation networks among 34 major currencies using the concept of a minimal spanning tree and hierarchical tree for the full years of 2007-2008 when major economic turbulence occurred. We used the USD (US…

General Finance · Quantitative Finance 2010-10-28 Mustafa Keskin , Bayram Deviren , Yusuf Kocakaplan

World currency network constitutes one of the most complex structures that is associated with the contemporary civilization. On a way towards quantifying its characteristics we study the cross correlations in changes of the daily foreign…

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

We decompose the exchange rates returns of 41 currencies (incl. gold) into their sign and amplitude components. Then we group together all exchange rates with a common base currency, construct Minimal Spanning Trees for each group…

Statistical Finance · Quantitative Finance 2010-07-14 Sylwia Gworek , Jaroslaw Kwapien , Stanislaw Drozdz

We investigate topology and temporal evolution of the foreign currency exchange market viewed from a weighted network perspective. Based on exchange rates for a set of 46 currencies (including precious metals), we construct different…

Statistical Finance · Quantitative Finance 2009-02-02 Jaroslaw Kwapien , Sylwia Gworek , Stanislaw Drozdz

We investigate logarithmic price returns cross-correlations at different time horizons for a set of 25 liquid cryptocurrencies traded on the FTX digital currency exchange. We study how the structure of the Minimum Spanning Tree (MST) and…

Statistical Finance · Quantitative Finance 2022-12-29 Antonio Briola , Tomaso Aste

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

We apply a method to filter relevant information from the correlation coefficient matrix by extracting a network of relevant interactions. This method succeeds to generate networks with the same hierarchical structure of the Minimum…

Physics and Society · Physics 2007-05-23 T. Aste , T. Di Matteo , M. Tumminello , R. N. Mantegna

Many empirical networks display an inherent tendency to cluster, i.e. to form circles of connected nodes. This feature is typically measured by the clustering coefficient (CC). The CC, originally introduced for binary, undirected graphs,…

Physics and Society · Physics 2009-11-13 Giorgio Fagiolo

Recent theoretical and empirical studies have focused on the structural properties of complex relational networks in social, biological and technological systems. Here we study the basic properties of twenty 1-square-mile samples of street…

Physics and Society · Physics 2009-11-11 Alessio Cardillo , Salvatore Scellato , Vito Latora , Sergio Porta

This paper reports empirical evidence that a neural networks model is applicable to the statistically reliable prediction of foreign exchange rates. Time series data and technical indicators such as moving average, are fed to neural nets to…

Disordered Systems and Neural Networks · Physics 2016-08-31 V. V. Kondratenko , Yu. A Kuperin

Real-world networks often exhibit strong transitivity with nontrivial local clustering spectra and degree correlations. Such features are not easily modeled in tractable network models, creating an obstacle to the theoretical understanding…

Physics and Society · Physics 2026-05-26 Lorenzo Cirigliano , Gareth J. Baxter , Gábor Timár

We present a systematic study of various statistical characteristics of high-frequency returns from the foreign exchange market. This study is based on six exchange rates forming two triangles: EUR-GBP-USD and GBP-CHF-JPY. It is shown that…

Statistical Finance · Quantitative Finance 2011-05-24 Stanislaw Drozdz , Jaroslaw Kwapien , Pawel Oswiecimka , Rafal Rak

Degree correlation is an important topological property common to many real-world networks. In this paper, the statistical measures for characterizing the degree correlation in networks are investigated analytically. We give an exact proof…

Physics and Society · Physics 2015-09-03 Ju Xiang , Ke Hu , Tao Hu , Yan Zhang , Jian-Ming Li

It has been shown that many complex networks shared distinctive features, which differ in many ways from the random and the regular networks. Although these features capture important characteristics of complex networks, their applicability…

Physics and Society · Physics 2009-11-11 Chang-Yong Lee , Sunghwan Jung
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