Testing for nonlinear panel unit roots under cross-sectional dependency — With an application to the PPP hypothesis
In this paper we propose a number of nonlinear panel unit root tests that are robust to cross-sectional dependency. These tests may be used to test the null hypothesis of non-stationarity against the alternative that some or all of the time series in the system of equations follow a stationary exponential smooth transition autoregressive (ESTAR) process. In contrast to previous research we relax the assumption that the cross-correlation structure is driven by a common-factor and consider an endogenous correlation structure. Based on the size and power results from the Monte Carlo simulations we recommend using the Wald version of our cross-sectional dependent robust nonlinear panel unit root (CDR-NPU) method.
If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Lutz Kilian & Mark P. Taylor, 2001.
"Why Is It So Difficult to Beat the Random Walk Forecast of Exchange Rates?,"
464, Research Seminar in International Economics, University of Michigan.
- Kilian, Lutz & Taylor, Mark P., 2003. "Why is it so difficult to beat the random walk forecast of exchange rates?," Journal of International Economics, Elsevier, vol. 60(1), pages 85-107, May.
- Lutz Kilian & Mark P. Taylor, 2001. "Why is it so difficult to beat the Random Walk Forecast of Exchange Rates?," Tinbergen Institute Discussion Papers 01-031/4, Tinbergen Institute.
- Kilian, Lutz & Taylor, Mark P., 2001. "Why is it so difficult to beat the random walk forecast of exchange rates?," Working Paper Series 0088, European Central Bank.
- Kilian, Lutz & Taylor, Mark P, 2001. "Why is it so Difficult to Beat the Random Walk Forecast of Exchange Rates?," CEPR Discussion Papers 3024, C.E.P.R. Discussion Papers.
- De Grauwe, Paul & Grimaldi, Marianna, 2005. "Heterogeneity of agents, transactions costs and the exchange rate," Journal of Economic Dynamics and Control, Elsevier, vol. 29(4), pages 691-719, April.
- Kwiatkowski, Denis & Phillips, Peter C. B. & Schmidt, Peter & Shin, Yongcheol, 1992.
"Testing the null hypothesis of stationarity against the alternative of a unit root : How sure are we that economic time series have a unit root?,"
Journal of Econometrics,
Elsevier, vol. 54(1-3), pages 159-178.
- Kwiatkowski, D. & Phillips, P.C.B. & Schmidt, P., 1990. "Testing the Null Hypothesis of Stationarity Against the Alternative of Unit Root : How Sure are we that Economic Time Series have a Unit Root?," Papers 8905, Michigan State - Econometrics and Economic Theory.
- Denis Kwiatkowski & Peter C.B. Phillips & Peter Schmidt, 1991. "Testing the Null Hypothesis of Stationarity Against the Alternative of a Unit Root: How Sure Are We That Economic Time Series Have a Unit Root?," Cowles Foundation Discussion Papers 979, Cowles Foundation for Research in Economics, Yale University.
- Levin, Andrew & Lin, Chien-Fu & James Chu, Chia-Shang, 2002.
"Unit root tests in panel data: asymptotic and finite-sample properties,"
Journal of Econometrics,
Elsevier, vol. 108(1), pages 1-24, May.
- Tom Doan, . "LEVINLIN: RATS procedure to perform Levin-Lin-Chu test for unit roots in panel data," Statistical Software Components RTS00242, Boston College Department of Economics.
- Peel, David & Sarno, Lucio & Taylor, Mark P, 2001.
"Nonlinear Mean-Reversion in Real Exchange Rates: Towards a Solution to the Purchasing Power Parity Puzzles,"
CEPR Discussion Papers
2658, C.E.P.R. Discussion Papers.
- Taylor, Mark P & Peel, David A & Sarno, Lucio, 2001. "Nonlinear Mean-Reversion in Real Exchange Rates: Toward a Solution to the Purchasing Power Parity Puzzles," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(4), pages 1015-42, November.
- DUFOUR, Jean-Marie & FARHAT, Abdeljelil & GARDIOL, Lucien, 1998.
"Simulation-Based Finite-Sample Normality Tests in Linear Regressions,"
Cahiers de recherche
9811, Universite de Montreal, Departement de sciences economiques.
- Jean-Marie Dufour & Abdeljelil Farhat & Lucien Gardiol & Lynda Khalaf, 1998. "Simulation-based finite sample normality tests in linear regressions," Econometrics Journal, Royal Economic Society, vol. 1(Conferenc), pages C154-C173.
- Serena Ng & Pierre Perron, 2001.
"LAG Length Selection and the Construction of Unit Root Tests with Good Size and Power,"
Econometric Society, vol. 69(6), pages 1519-1554, November.
- Serena Ng & Pierre Perron, 1997. "Lag Length Selection and the Construction of Unit Root Tests with Good Size and Power," Boston College Working Papers in Economics 369, Boston College Department of Economics, revised 01 Sep 2000.
- Pesaran, M. Hashem, 2004.
"General Diagnostic Tests for Cross Section Dependence in Panels,"
IZA Discussion Papers
1240, Institute for the Study of Labor (IZA).
- Pesaran, M.H., 2004. "‘General Diagnostic Tests for Cross Section Dependence in Panels’," Cambridge Working Papers in Economics 0435, Faculty of Economics, University of Cambridge.
- M. Hashem Pesaran, 2004. "General Diagnostic Tests for Cross Section Dependence in Panels," CESifo Working Paper Series 1229, CESifo Group Munich.
- Gautam Goswami & Milind Shrikhande & Liuren Wu, 2002. "A Dynamic Equilibrium Model of Real Exchange Rates with General Transaction Costs," Finance 0207016, EconWPA.
- Kapetanios, George & Shin, Yongcheol & Snell, Andy, 2003. "Testing for a unit root in the nonlinear STAR framework," Journal of Econometrics, Elsevier, vol. 112(2), pages 359-379, February.
- M. Hashem Pesaran, 2004.
"Estimation and Inference in Large Heterogeneous Panels with a Multifactor Error Structure,"
CESifo Working Paper Series
1331, CESifo Group Munich.
- M. Hashem Pesaran, 2006. "Estimation and Inference in Large Heterogeneous Panels with a Multifactor Error Structure," Econometrica, Econometric Society, vol. 74(4), pages 967-1012, 07.
- Graham Elliott & Thomas J. Rothenberg & James H. Stock, 1992.
"Efficient Tests for an Autoregressive Unit Root,"
NBER Technical Working Papers
0130, National Bureau of Economic Research, Inc.
- Engle, Robert F & Granger, Clive W J, 1987.
"Co-integration and Error Correction: Representation, Estimation, and Testing,"
Econometric Society, vol. 55(2), pages 251-76, March.
- Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 39(3), pages 106-135.
- Taylor, Alan M. & Taylor, Mark P, 2004.
"The Purchasing Power Parity Debate,"
CEPR Discussion Papers
4495, C.E.P.R. Discussion Papers.
- Michael, Panos & Nobay, A Robert & Peel, David A, 1997.
"Transactions Costs and Nonlinear Adjustment in Real Exchange Rates: An Empirical Investigation,"
Journal of Political Economy,
University of Chicago Press, vol. 105(4), pages 862-79, August.
- Tom Doan, . "RATS programs to replicate Michael-Nobay-Peel ESTAR models," Statistical Software Components RTZ00113, Boston College Department of Economics.
- Brock, William A. & Hommes, Cars H., 1998.
"Heterogeneous beliefs and routes to chaos in a simple asset pricing model,"
Journal of Economic Dynamics and Control,
Elsevier, vol. 22(8-9), pages 1235-1274, August.
- Brock, W.A. & Hommes, C.H., 1996. "Hetergeneous Beliefs and Routes to Chaos in a Simple Asset Pricing Model," Working papers 9621, Wisconsin Madison - Social Systems.
- Bahmani-Oskooee, Mohsen, 1993. "Purchasing power parity based on effective exchange rate and cointegration: 25 LDCs' experience with its absolute formulation," World Development, Elsevier, vol. 21(6), pages 1023-1031, June.
- Granger, C. W. J. & Newbold, P., 1974. "Spurious regressions in econometrics," Journal of Econometrics, Elsevier, vol. 2(2), pages 111-120, July.
- Perron, Pierre, 1990.
"Testing for a Unit Root in a Time Series with a Changing Mean,"
Journal of Business & Economic Statistics,
American Statistical Association, vol. 8(2), pages 153-62, April.
- Perron, P., 1989. "Testing For A Unit Root In A Time Series With A Changing Mean," Papers 347, Princeton, Department of Economics - Econometric Research Program.
- Wagner, Martin, 2005.
"On PPP, Unit Roots and Panels,"
176, Institute for Advanced Studies.
- Dumas, Bernard, 1992. "Dynamic Equilibrium and the Real Exchange Rate in a Spatially Separated World," Review of Financial Studies, Society for Financial Studies, vol. 5(2), pages 153-80.
- Kenneth Rogoff, 1996. "The Purchasing Power Parity Puzzle," Journal of Economic Literature, American Economic Association, vol. 34(2), pages 647-668, June.
- Mohsen Bahmani-Oskooee & Ali M. Kutan & Su Zhou, 2008. "Do Real Exchange Rates Follow a Nonlinear Mean Reverting Process in Developing Countries," Southern Economic Journal, Southern Economic Association, vol. 74(4), pages 1049-1062, April.
- Sarno, Lucio & Taylor, Mark P, 1997.
"The Behaviour of Real Exchange Rates During the Post-Bretton Woods Period,"
CEPR Discussion Papers
1730, C.E.P.R. Discussion Papers.
- Taylor, Mark P. & Sarno, Lucio, 1998. "The behavior of real exchange rates during the post-Bretton Woods period," Journal of International Economics, Elsevier, vol. 46(2), pages 281-312, December.
- Sarno, Lucio & Valente, Giorgio, 2006. "Deviations from purchasing power parity under different exchange rate regimes: Do they revert and, if so, how?," Journal of Banking & Finance, Elsevier, vol. 30(11), pages 3147-3169, November.
- Pasaran, M.H. & Im, K.S. & Shin, Y., 1995.
"Testing for Unit Roots in Heterogeneous Panels,"
Cambridge Working Papers in Economics
9526, Faculty of Economics, University of Cambridge.
- O'Connell, P. G. J., 1998. "Market frictions and real exchange rates1," Journal of International Money and Finance, Elsevier, vol. 17(1), pages 71-95, February.
- Pesaran, M.H., 2003.
"A Simple Panel Unit Root Test in the Presence of Cross Section Dependence,"
Cambridge Working Papers in Economics
0346, Faculty of Economics, University of Cambridge.
- M. Hashem Pesaran, 2007. "A simple panel unit root test in the presence of cross-section dependence," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(2), pages 265-312.
- Chi-Wei Su & Tsangyao Chang & Yu-Shao Liu, 2012. "Revisiting purchasing power parity for African countries: with nonlinear panel unit-root tests," Applied Economics, Taylor & Francis Journals, vol. 44(25), pages 3263-3273, September.
- Boyd, Derick & Smith, Ron, 1999. "Testing for Purchasing Power Parity: Econometric Issues and an Application to Developing Countries," Manchester School, University of Manchester, vol. 67(3), pages 287-303, June.
When requesting a correction, please mention this item's handle: RePEc:eee:ecmode:v:38:y:2014:i:c:p:121-132. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Shamier, Wendy)
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.