An Analysis on the Chaos Behavior of Currency Exchange Rate Undulation

The dynamical theory of chaos is the new analysis method of study on the exchange rate undulation in the foreign exchange market. In order to study the chaos behavior of the Euro exchange rate, this paper put the purchase price of the RMB to the Euro as the sample and analyzes the nonlinear character of the Euro exchange rate. This paper figures out the Hurst exponent by the R/S analysis and confirms the chaos behavior of the Euro exchange rate accordingly, and then the paper tests the nonlinear character of the Euro exchange rate by the GARCH Model at finally.

[1]  R. Weston,et al.  A Chaotic Analysis of the New Zealand Exchange Rate 1985-2004 , 2004 .

[2]  M. Embrechts,et al.  Exchange Rate Theory: Chaotic Models of Foreign Exchange Markets , 1993 .

[3]  Ping Chen,et al.  Empirical and theoretical evidence of economic chaos , 1988 .

[4]  Ping Chen,et al.  Deterministic chaos and fractal attractors as tools for nonparametric dynamical econometric inference: with an application to the divisia monetary aggregates , 1988 .

[5]  茂 笹山 Paul De Grauwe, Hans Dewachter, and Mark Embrechts Exchange Rate Theory: Chaotic Models of Foreign Exchange Markets Blackwell, 1993 , 1995 .

[6]  P. Grauwe,et al.  A Chaotic Monetary Model of the Exchange Rate , 1993 .

[7]  Kenneth S. Rogoff,et al.  Exchange rate models of the seventies. Do they fit out of sample , 1983 .

[8]  David Hsieh Testing for Nonlinear Dependence in Daily Foreign Exchange Rates , 1989 .

[9]  G. Richards The fractal structure of exchange rates: measurement and forecasting , 2000 .

[10]  H. E. Hurst,et al.  Long-Term Storage Capacity of Reservoirs , 1951 .

[11]  R. Meese,et al.  Do They Fit out of Sample? , 1983 .

[12]  Mikael Bask,et al.  Dimensions and Lyapunov exponents from exchange rate series , 1996 .

[13]  Frank Westerhoff,et al.  Exchange rate dynamics, central bank interventions and chaos control methods , 2005 .

[14]  Hans Dewachter,et al.  A chaotic model of the exchange rate: The role of fundamentalists and chartists , 1993 .

[15]  Cahit Erkal,et al.  Distinguishing between stochastic and deterministic behavior in high frequency foreign exchange rate returns: Can non-linear dynamics help forecasting?☆ , 1996 .

[16]  S. Yousefi,et al.  On complex behavior and exchange rate dynamics , 2003 .