Nonlinear Trend Stationarity in Real Exchange Rates: Evidence from Nonlinear ADF tests
In this article we test for unit root in real exchange rates during the recent floating exchange rate period. In doing so, we use the unit root tests proposed by Bierens (1997a) and Bierens (1997b) that have drift hypothesis against a very general trend stationarity hypothesis, namely the alternative that the time series is stationarity about an almost arbitrary deterministic function of time. Bierens approach employs the fact that any function of time can be approximately arbitrary close by a linear function of Chebishev polynomials. The application of the tests to real exchange rate series indicate that these series are nonlinear trend stationary, and therefore, we conclude that the real exchange rate behavior may not be so different after all but simply perceived to be so because of the use of previously different unit root tests.
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- Phylaktis, Kate & Kassimatis, Yiannis, 1994. "Does the real exchange rate follow a random walk? The Pacific Basin perspective," Journal of International Money and Finance, Elsevier, vol. 13(4), pages 476-495, August.
- Lothian, James R & Taylor, Mark P, 1996. "Real Exchange Rate Behavior: The Recent Float from the Perspective of the Past Two Centuries," Journal of Political Economy, University of Chicago Press, vol. 104(3), pages 488-509, June.
- Coakley, Jerry & Fuertes, Ana Maria, 1997. "New panel unit root tests of PPP," Economics Letters, Elsevier, vol. 57(1), pages 17-22, November.
- Dornbusch, Rudiger, 1976. "Expectations and Exchange Rate Dynamics," Journal of Political Economy, University of Chicago Press, vol. 84(6), pages 1161-76, December.
- Henry, Olan T. & Olekalns, Nilss, 2002. "Does the Australian dollar real exchange rate display mean reversion," Journal of International Money and Finance, Elsevier, vol. 21(5), pages 651-666, October.
- Cheung, Yin-Wong & Lai, Kon S., 2001. "Long memory and nonlinear mean reversion in Japanese yen-based real exchange rates," Journal of International Money and Finance, Elsevier, vol. 20(1), pages 115-132, February.
- Baum, Christopher F. & Barkoulas, John T. & Caglayan, Mustafa, 2001.
"Nonlinear adjustment to purchasing power parity in the post-Bretton Woods era,"
Journal of International Money and Finance,
Elsevier, vol. 20(3), pages 379-399, June.
- Christopher F. Baum & Mustafa Caglayan & John Barkoulas, 1998. "Nonlinear Adjustment to Purchasing Power Parity in the post-Bretton Woods Era," Boston College Working Papers in Economics 404., Boston College Department of Economics, revised 16 Nov 1999.
- Luis Gil-Alana, 2002. "Real exchange rates: evidence from black markets using fractionally integrated semiparametric techniques," Applied Economics Letters, Taylor & Francis Journals, vol. 9(12), pages 787-790.
- Vogelsang, T.I. & Perron, P., 1991.
"Nonstationary and Level Shifts With An Application To Purchasing Power Parity,"
359, Princeton, Department of Economics - Econometric Research Program.
- Perron, Pierre & Vogelsang, Timothy J, 1992. "Nonstationarity and Level Shifts with an Application to Purchasing Power Parity," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 301-20, July.
- 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.
- 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.
- 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.
- Cheung, Yin-Wong & Lai, Kon S., 1998. "Parity reversion in real exchange rates during the post-Bretton Woods period," Journal of International Money and Finance, Elsevier, vol. 17(4), pages 597-614, August.
- Papell, David H., 1997. "Searching for stationarity: Purchasing power parity under the current float," Journal of International Economics, Elsevier, vol. 43(3-4), pages 313-332, November.
- MacDonald, Ronald, 1996. "Panel unit root tests and real exchange rates," Economics Letters, Elsevier, vol. 50(1), pages 7-11, January.
- Perron, P, 1988.
"The Great Crash, The Oil Price Shock And The Unit Root Hypothesis,"
338, Princeton, Department of Economics - Econometric Research Program.
- Perron, Pierre, 1989. "The Great Crash, the Oil Price Shock, and the Unit Root Hypothesis," Econometrica, Econometric Society, vol. 57(6), pages 1361-1401, November.
- Serletis, Apostolos & Zimonopoulos, Grigorios, 1997. "Breaking Trend Functions in Real Exchange Rates: Evidence from Seventeen OECD Countries," Journal of Macroeconomics, Elsevier, vol. 19(4), pages 781-802, October.
- Lee, Dongin & Schmidt, Peter, 1996.
"On the power of the KPSS test of stationarity against fractionally-integrated alternatives,"
Journal of Econometrics,
Elsevier, vol. 73(1), pages 285-302, July.
- Lee, D. & Schmidt, P., 1993. "On the Power of the KPSS Test of Stationarity Against Fractionally-Integrated Alternatives," Papers 9111, Michigan State - Econometrics and Economic Theory.
- Mehmet Caner & Lutz Kilian, 1999.
"Size Distortions of Tests of the Null Hypothesis of Stationarity: Evidence and Implications for Applied Work,"
Computing in Economics and Finance 1999
511, Society for Computational Economics.
- Caner, Mehmet & Kilian, Lutz, 1999. "Size distortions of tests of the null hypothesis of stationarity: Evidence and implications for applied work," ZEI Working Papers B 12-1999, University of Bonn, ZEI - Center for European Integration Studies.
- Bierens, H.J., 1995.
"Nonparametric cointegration analysis,"
1995-123, Tilburg University, Center for Economic Research.
- Ceglowski, Janet, 1996. "The Real Yen Exchange Rate and Japanese Productivity Growth," Review of International Economics, Wiley Blackwell, vol. 4(1), pages 54-63, February.
- Gil-Alana, Luis A., 2000. "Mean reversion in the real exchange rates," Economics Letters, Elsevier, vol. 69(3), pages 285-288, December.
- Cristina Del Rio & Rafael Santamaria, 2000. "Empirical regularities for the currencies of European monetary system during the 1976-1993 period," Applied Economics Letters, Taylor & Francis Journals, vol. 7(12), pages 755-764.
- Oh, Keun-Yeob, 1996. "Purchasing power parity and unit root tests using panel data," Journal of International Money and Finance, Elsevier, vol. 15(3), pages 405-418, June.
- 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.
- 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.
- 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.
- Olekalns, Nilss & Wilkins, Nigel, 1998. "Re-examining the Evidence for Long-Run Purchasing Power Parity," The Economic Record, The Economic Society of Australia, vol. 74(224), pages 54-61, March.
- Michael J. Dueker & Apostolos Serletis, 2000. "Do real exchange rates have autoregressive unit roots? a test under the alternative of long memory and breaks," Working Papers 2000-016, Federal Reserve Bank of St. Louis.
- Dickey, David A & Fuller, Wayne A, 1981. "Likelihood Ratio Statistics for Autoregressive Time Series with a Unit Root," Econometrica, Econometric Society, vol. 49(4), pages 1057-72, June.
- Perron, P., 1989.
"Testing For A Unit Root In A Time Series With A Changing Mean,"
347, Princeton, Department of Economics - Econometric Research Program.
- 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.
- Apostolos Serletis & Periklis Gogas, 2000. "Purchasing power parity, nonlinearity and chaos," Applied Financial Economics, Taylor & Francis Journals, vol. 10(6), pages 615-622.
- Serletis, Apostolos & Gogas, Periklis, 2004. "Long-horizon regression tests of the theory of purchasing power parity," Journal of Banking & Finance, Elsevier, vol. 28(8), pages 1961-1985, August.
- Bierens, Herman J., 1997. "Testing the unit root with drift hypothesis against nonlinear trend stationarity, with an application to the US price level and interest rate," Journal of Econometrics, Elsevier, vol. 81(1), pages 29-64, November.
- Kenneth Rogoff, 1996. "The Purchasing Power Parity Puzzle," Journal of Economic Literature, American Economic Association, vol. 34(2), pages 647-668, June.
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