Evidence for Nonlinear Asymmetric Causality in US Inflation, Metal, and Stock Returns

The purpose of this paper is to propose a version of causality testing that focuses on the role of the sign of the returns on the causality results. We replace the traditional VAR specification used in the Granger causality test by a discrete-time bivariate noisy Mackey-Glass model. Our test reveals interesting and previously unexplored relationships in U.S. economic series, including inflation, metal and stock returns.

[1]  Walter C. Labys,et al.  Evidence for Chaotic Dependence between US Inflation and Commodity Prices , 2006 .

[2]  Apostolos Serletis,et al.  Univariate Tests for Nonlinear Structure , 2006 .

[3]  Bong-Soo Lee,et al.  Stock Returns and Inflation with Supply and Demand Disturbances , 1999 .

[4]  Walter C. Labys,et al.  Detecting Positive Feedback in Multivariate Time Series: The Case of Metal Prices and US Inflation , 2007 .

[5]  Catherine Kyrtsou Nonlinear Features of Comovements Between Commodity Prices and Inflation , 2007 .

[6]  C. Granger Investigating causal relations by econometric models and cross-spectral methods , 1969 .

[7]  Didier Sornette,et al.  Non-parametric determination of real-time lag structure between two time series: The "optimal thermal causal path" method with applications to economic data , 2006 .

[8]  W. Fuller,et al.  LIKELIHOOD RATIO STATISTICS FOR AUTOREGRESSIVE TIME SERIES WITH A UNIT ROOT , 1981 .

[9]  C. Gouriéroux,et al.  NONLINEAR CAUSALITY, with Applications to Liquidity and Stochastic Volatility , 2007 .

[10]  Cees Diks,et al.  A Note on the Hiemstra-Jones Test for Granger Non-causality , 2005 .

[11]  D. Hristu-Varsakelis,et al.  TESTING FOR GRANGER CAUSALITY IN THE PRESENCE OF CHAOTIC DYNAMICS , 2010 .

[12]  Craig Hiemstra,et al.  Testing for Linear and Nonlinear Granger Causality in the Stock Price-Volume Relation , 1994 .

[13]  W. Fuller,et al.  Distribution of the Estimators for Autoregressive Time Series with a Unit Root , 1979 .

[14]  Halbert White,et al.  On learning the derivatives of an unknown mapping with multilayer feedforward networks , 1992, Neural Networks.

[15]  William L. Goffe,et al.  SIMANN: FORTRAN module to perform Global Optimization of Statistical Functions with Simulated Annealing , 1992 .