How to quantify deterministic and random influences on the statistics of the foreign exchange market

被引:167
作者
Friedrich, R
Peinke, J
Renner, C
机构
[1] Univ Stuttgart, Inst Theoret Phys, D-70550 Stuttgart, Germany
[2] Univ Oldenburg, Fachbereich Phys 8, D-26111 Oldenburg, Germany
关键词
D O I
10.1103/PhysRevLett.84.5224
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
It is shown that price changes of the U.S. dollar-German mark exchange rates upon different delay times can be regarded as a stochastic Marcovian process. Furthermore, we show how Kramers-Moyal coefficients can be estimated from the empirical data. Finally, we present an explicit Fokker-Planck equation which models very precisely the empirical probability distributions, in particular, their non-Gaussian heavy tails.
引用
收藏
页码:5224 / 5227
页数:4
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