Testing for panel cointegration in an error-correction framework with an application to the Fisher hypothesis

ABSTRACT In this article, three innovative panel error-correction model (PECM) tests are proposed. These tests are based on the multivariate versions of the Wald (W), likelihood ratio (LR), and Lagrange multiplier (LM) tests. Using Monte Carlo simulations, the size and power of the tests are investigated when the error terms exhibit both cross-sectional dependence and independence. We find that the LM test is the best option when the error terms follow independent white-noise processes. However, in the more empirically relevant case of cross-sectional dependence, we conclude that the W test is the optimal choice. In contrast to previous studies, our method is general and does not rely on the strict assumption that a common factor causes the cross-sectional dependency. In an empirical application, our method is also demonstrated in terms of the Fisher effect—a hypothesis about the existence of which there is still no clear consensus. Based on our sample of the five Nordic countries we utilize our powerful test and discover evidence which, in contrast to most previous research, confirms the Fisher effect.

[1]  Martin D. D. Evans,et al.  Do expected shifts in inflation affect estimates of the long-run Fisher relation? , 1995 .

[2]  Apostolos Serletis,et al.  Bounds Tests of the Gibson Paradox and the Fisher Effect: Evidence from Low-Frequency International Data , 2003 .

[3]  S. Ramlee,et al.  Is the Fisher Effect for Real?: Testing the Robustness of the Long Run Fisher Effect in the G7 Countries , 2022 .

[4]  A. Cooray.  THE FISHER EFFECT: A SURVEY , 2003 .

[5]  Eric Zivot,et al.  A Bayesian Analysis Of The Unit Root Hypothesis Within An Unobserved Components Model , 1994, Econometric Theory.

[6]  M. Pesaran.  A Simple Panel Unit Root Test in the Presence of Cross Section Dependence , 2003 .

[7]  Rolf Larsson,et al.  Likelihood-Based Cointegration Tests in Heterogeneous Panels , 2001 .

[8]  A. Zellner.  An Efficient Method of Estimating Seemingly Unrelated Regressions and Tests for Aggregation Bias , 1962 .

[9]  Ronald MacDonald,et al.  Testing for the long run relationship between nominal interest rates and inflation using cointegration techniques , 1989 .

[10]  A. Rose.  Is the Real Interest Rate Stable , 1988 .

[11]  Apostolos Serletis,et al.  On the Fisher Effect , 1999 .

[12]  Dennis L. Hoffman,et al.  The Long Run Relationship between Nominal Interest Rates and Inflation: The Fisher Equation Revisited , 1996 .

[13]  Carl S. Bonham,et al.  Correct cointegration tests of the long-run relationship between nominal interest and inflation , 1991 .

[14]  J. Westerlund.  Panel cointegration tests of the Fisher effect , 2006 .

[15]  Juan J. Dolado,et al.  The Power of Cointegration Tests , 1992 .

[16]  P. O'Connell.  The overvaluation of purchasing power parity , 1998 .

[17]  J. Bai,et al.  A Panic Attack on Unit Roots and Cointegration , 2001 .

[18]  D. Hendry,et al.  Co-Integration and Error Correction : Representation , Estimation , and Testing , 2007 .

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

[20]  S. Cook.  The power of single equation tests for cointegration , 2006 .

[21]  C. Granger,et al.  Co-integration and error correction: representation, estimation and testing , 1987 .

[22]  J. Stock,et al.  EFFICIENT TESTS FOR AN AUTOREGRESSIVE UNIT ROOT BY GRAHwA ELLIOrr, THOMAS , 2007 .

[23]  A long memory test of the long-run Fisher effect in the G7 countries , 2003 .

[24]  Ghazi Shukur,et al.  Testing autocorrelation in a system perspective testing autocorrelation , 1999 .

[25]  J. Stock,et al.  Efficient Tests for an Autoregressive Unit Root , 1992 .

[26]  Sara Weiss.  Allocation Models Specification Estimation And Applications , 2016 .

[27]  Donggyu Sul,et al.  Dynamic Panel Estimation and Homogeneity Testing Under Cross Section Dependence , 2002 .

[28]  A. Kanioura,et al.  Critical values for an F-test for cointegration in a multivariate model , 2005 .

[29]  C. Granger.  Some properties of time series data and their use in econometric model specification , 1981 .

[30]  M. Watson,et al.  Testing Long-Run Neutrality , 1992 .

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

[32]  Jack Strauss,et al.  Cointegration Tests of the Fisher Hypothesis with Variable Trends in the World Real Interest Rate , 1995 .

[33]  M. Pesaran,et al.  Testing for unit roots in heterogeneous panels , 2003 .