Dynamic Properties of Foreign Exchange Complex Network

The foreign exchange (FX) market, one of the important components of the financial market, is a typical complex system. In this paper, by resorting to the complex network method, we use the daily closing prices of 41 FX markets to build the dynamical networks and their minimum spanning tree (MST) ma...

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Main Authors: Xin Yang, Shigang Wen, Zhifeng Liu, Cai Li, Chuangxia Huang
Format: Article
Language:English
Published: MDPI AG 2019-09-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/7/9/832
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spelling doaj-d5e4c08f500e4987a23bb4d9747a862f2020-11-25T01:01:40ZengMDPI AGMathematics2227-73902019-09-017983210.3390/math7090832math7090832Dynamic Properties of Foreign Exchange Complex NetworkXin Yang0Shigang Wen1Zhifeng Liu2Cai Li3Chuangxia Huang4School of Mathematics and Statistics, Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science and Technology, Changsha 410114, ChinaSchool of Mathematics and Statistics, Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science and Technology, Changsha 410114, ChinaSchool of Management, Hainan University, Haikou 570228, ChinaSchool of Mathematics and Statistics, Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science and Technology, Changsha 410114, ChinaSchool of Mathematics and Statistics, Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science and Technology, Changsha 410114, ChinaThe foreign exchange (FX) market, one of the important components of the financial market, is a typical complex system. In this paper, by resorting to the complex network method, we use the daily closing prices of 41 FX markets to build the dynamical networks and their minimum spanning tree (MST) maps by virtue of a moving window correlation coefficient. The properties of FX networks are characterized by the normalized tree length, node degree distributions, centrality measures and edge survival ratios. Empirical results show that: (i) the normalized tree length plays a role in identifying crises and is negatively correlated with the market return and volatility; (ii) 83% of FX networks follow power-law node degree distribution, which means that the FX market is a typical heterogeneous market, and a few hub nodes play key roles in the market; (iii) the highest centrality measures reveal that the USD, EUR and CNY are the three most powerful currencies in FX markets; and (iv) the edge survival ratio analysis implies that the FX structure is relatively stable.https://www.mdpi.com/2227-7390/7/9/832foreign exchange marketscomplex networkminimum spanning treemarket phenomena
collection DOAJ
language English
format Article
sources DOAJ
author Xin Yang
Shigang Wen
Zhifeng Liu
Cai Li
Chuangxia Huang
spellingShingle Xin Yang
Shigang Wen
Zhifeng Liu
Cai Li
Chuangxia Huang
Dynamic Properties of Foreign Exchange Complex Network
Mathematics
foreign exchange markets
complex network
minimum spanning tree
market phenomena
author_facet Xin Yang
Shigang Wen
Zhifeng Liu
Cai Li
Chuangxia Huang
author_sort Xin Yang
title Dynamic Properties of Foreign Exchange Complex Network
title_short Dynamic Properties of Foreign Exchange Complex Network
title_full Dynamic Properties of Foreign Exchange Complex Network
title_fullStr Dynamic Properties of Foreign Exchange Complex Network
title_full_unstemmed Dynamic Properties of Foreign Exchange Complex Network
title_sort dynamic properties of foreign exchange complex network
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2019-09-01
description The foreign exchange (FX) market, one of the important components of the financial market, is a typical complex system. In this paper, by resorting to the complex network method, we use the daily closing prices of 41 FX markets to build the dynamical networks and their minimum spanning tree (MST) maps by virtue of a moving window correlation coefficient. The properties of FX networks are characterized by the normalized tree length, node degree distributions, centrality measures and edge survival ratios. Empirical results show that: (i) the normalized tree length plays a role in identifying crises and is negatively correlated with the market return and volatility; (ii) 83% of FX networks follow power-law node degree distribution, which means that the FX market is a typical heterogeneous market, and a few hub nodes play key roles in the market; (iii) the highest centrality measures reveal that the USD, EUR and CNY are the three most powerful currencies in FX markets; and (iv) the edge survival ratio analysis implies that the FX structure is relatively stable.
topic foreign exchange markets
complex network
minimum spanning tree
market phenomena
url https://www.mdpi.com/2227-7390/7/9/832
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AT shigangwen dynamicpropertiesofforeignexchangecomplexnetwork
AT zhifengliu dynamicpropertiesofforeignexchangecomplexnetwork
AT caili dynamicpropertiesofforeignexchangecomplexnetwork
AT chuangxiahuang dynamicpropertiesofforeignexchangecomplexnetwork
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