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World currency exchange rate cross-correlations

机译:世界货币汇率的相互关系

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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 exchange rates within the basket of 60 currencies in the period December 1998-May 2005. Such a dynamics turns out to predominantly involve one outstanding eigenvalue of the correlation matrix. The magnitude of this eigenvalue depends however crucially on which currency is used as a base currency for the remaining ones. Most prominent it looks from the perspective of a peripheral currency. This largest eigenvalue is seen to systematically decrease and thus the structure of correlations becomes more heterogeneous, when more significant currencies are used as reference. An extreme case in this later respect is the USD in the period considered. Besides providing further insight into subtle nature of complexity, these observations point to a formal procedure that in general can be used for practical purposes of measuring the relative currencies significance on various time horizons.
机译:世界货币网络是与当代文明相关的最复杂的结构之一。为了量化其特征,我们研究了1998年12月至2005年5月期间60种货币篮子中每日外汇汇率变化的相互关系。这种动态结果主要涉及相关矩阵的一个杰出特征值。 。但是,该特征值的大小主要取决于将哪种货币用作其余货币的基础货币。从外围货币的角度来看,它最为突出。当使用更重要的货币作为参考时,这个最大的特征值会系统地降低,因此相关性的结构会变得更加异构。在此之后的一个极端情况是所考虑的时期内的美元。除了进一步了解复杂性的微妙性质外,这些观察还指出了一种正式程序,该程序通常可用于在各种时间范围内测量相对货币重要性的实际目的。

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