Investigating smooth breaks in real exchange rates

Authors

  • Ching-Mei Chu Ling-Tung University, Nan-tun District, Taichung City, Taiwan (China). Email address: maythanks@teamail.ltu.edu.tw

DOI:

https://doi.org/10.18533/jefs.v1i01.29

Keywords:

Exchange Rate, Fourier Stationary Test, Middle East Countries, Nonlinearity, Purchasing Power Parity.

Abstract

We investigate the validity of purchasing power parity of 7 Middle East countries over January 1980 to August 2008 by applying the stationary test with a nonlinear Fourier function as proposed by Becker et al. (2006). This test allows us to study the presence of unknown smooth structural breaks and the stationarity of real exchange rates. The empirical results indicate that PPP is not valid for most of these Middle East countries except the Bahrain and Israel.

References

Abuaf, N., Jorion, P., 1990. Purchasing power parity in the long run. Journal of Finance 45, 157-174.

Adler, M., Lehmann, B., 1983. Deviations from purchasing power parity in the long run. Journal of Finance 38, 1471-1487.

Bahmani-Oskooee, M., 1998. Do real exchange rates follow a random process in Middle East Countries? Economics Letters 58, 339-344.

Bahmani-Oskooee, M., Rhee, H.-J., 1992. Testing for long-run purchasing power parity: An examination of Korean Won. International Economic Journal 6, 93-103.

Bahmani-Oskooee, M., Mirzai, A., 2000. Real and nominal effective exchange rates for developing countries: 1973:1-1997:3. Applied Economics 32(4), 411-428.

Bai, J., Perron, P., 1998. Estimating and testing linear models with multiple structural changes. Econometrica 66, 47-78.

Banerjee, A., Lumsdaine, R. L., Stock, J. H., 1992. Recursive and sequential tests of the unit root and trend break hypotheses. Journal of Business and Economic Statistics 10(3), 271-287.

Becker, R., Enders, W., Lee, J., 2004. A general test for time dependence in parameters. Journal of Applied Econometrics 19, 899-906.

Becker, R., Enders, W., Lee, J., 2006. A stationarity test in the presence of an unknown number of smooth breaks. Journal of Time Series Analysis 27(3), 381-409.

Breitung, J., Candelon, B., 2005. Purchasing power parity during currency crises: A panel unit root test under structural breaks. Review of World Economics 141(1), 124-140

Burke, S., 1994. Confirmatory data analysis: The joint application of stationarity and unit root tests. University of Reading, working paper, 20.

Christopoulos, D.K., Leon-Ledesma, M.A., 2010. Smooth breaks and non-linear mean reversion: Post-Bretton Woods real exchange rates. Journal of International Money and Finance, forthcoming.

Campbell, J.Y., Perron, P., 1991. Pitfalls and opportunities: What macroeconomists should know about unit roots? In: Blanchard, O.J., Fischer, S. (Eds.), NBER Macroeconomics Annual 1991. MIT Press, Stanley Cambridge and London, 141-201.

Dickey, D.A., Fuller, W.A., 1979. Distribution of the estimators for autoregressive time series with a unit root. Journal of the American Statistical Association 74, 427-431.

Dornbusch, R., 1987. Purchasing Power Parity. In: J. Eatwell, M. Milgate and P. Nweman (Eds), The New Palgrave: A Dictionary of Economics, Macmillan Press, 1075-1085.

Drine, I., Rault, C., 2008. Purchasing power parity for developing and developed countries: What can we learn from non-stationary panel data models. Journal of Economic Surveys 22(4), 752-773.

Enders, W., Lee, J., 2004. Testing for a unit root with a nonlinear Fourier function. University of Alabama, USA, working paper.

Enders, W., Lee, J., 2009. The flexible Fourier form and testing for unit roots: An example of the term structure of interest rates. University of Alabama, USA, working paper.

Enders, W., Lee, J., 2011. A unit root test using a Fourier series to approximate smooth breaks. Oxford Bulletin of Economics and Statistics, forthcoming.

Frankel, J. A., 1986. International capital mobility and crowding-out in the U.S. economy: Imperfect integration of financial markets or of goods markets? in R. Hafer, 13 ed., How Open is the U.S. Economy?, Lexington: Lexington Books, 33-67.

Frankel, J. A., 1990. Zen and the Art of Modern Macroeconomics: A Commentary, Monetary Policy for a Volatile Global Economy. Washington DC: American Enterprise Institute for Public Policy Research, 117-123.

Froot, A., Rogoff, K., 1995. Perspectives on PPP and long-run real exchange rates”, In G. Grossman and K. Rogoff(eds.), Handbook of International Economics 3, Amsterdam: Elsevier Science, 1647-1688.

Gallant, R., 1981. On the basis in flexible functional form and an essentially unbiased form: The flexible Fourier form. Journal of Econometrics 15, 211-353.

Hassanain, K., 2004. Purchasing power parity: Further evidence and implications. Review of Middle East Economics and Finance 2(1), 63-77.

Huizinga, J., 1987. An empirical investigation of the long-run behavior of real exchange rates. Carnegie-Rochester Conference Series on Public Policy 27(1), 149-214.

Kalyoncu, H., 2009. New evidence of the validity of purchasing power parity from Turkey. Applied Economics Letters 16(1), 63-67.

Kwiatkowski, D., Phillips, P., Schmidt, P., Shih, Y., 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 54, 159-178.

Leybourne, S., Newbold, P., Vougas, D., 1998. Unit roots and smooth transitions. Journal of Time Series Analysis 19, 83-97.

Lothian, J., Taylor, M., 1996. Real exchange rate behavior: The recent float from the perspective of the past two centuries. Journal of Political Economy 104, 488-509.

Lumsdaine, R. L., Papell, D.H., 1997. Multiple trend breaks and the unit root hypothesis. Review of Economics and Statistics 79(2), 212-218.

Maddala, G., Kim, I.-M., 1998. Unit roots, cointegration and structural change. Cambridge University Press, UK.

Mahdavi, S., Zhou, S., 1994. Purchasing power parity in high inflation countries: Further evidence. Journal of Macroeconomics 16, 403-422.

Marcela, S., Gadea, M.D., Serrano, J.M., 2003. PPP and structural breaks: The peseta-sterling rate, 50 years of floating regime. Journal of International Money and Finance 22, 613-627.

Narayan, P.K., 2005. New evidence on purchasing power parity from 17 OECD Countries. Applied Economics 37, 1063-1071.

Narayan, P.K., 2006. Are bilateral real exchange rates stationary? Evidence from Lagrange multiplier unit root tests for India. Applied Economics 38, 63-70.

Narayan, P.K., Prasad, B.C., 2005. The validity of purchasing power parity hypothesis for eleven Middle Eastern countries. Review of Middle East Economics and Finance 3(2), 135-149.

Newey, W., West, K., 1994. Automatic lag selection in covariance matrix estimation. Review of Economic Studies 61, 631-653.

Oh, K. Y., 1996. Purchasing power parity and unit root tests using panel data. Journal of International Money and Finance 15(3), 405-418.

Oritz, E., Cabello, A., Jesus, R. Johnson, R. 2005, Exchange rates, market efficiency and purchasing power parity: Long-run tests for the Latin American currencies, Problemas del Desarrollo 141.

Papell, D. H., 1997. Searching for stationarity: Purchasing power parity under the current float. Journal of International Economics 43, 313-332.

Parikh A., Williams, G., 1998. Modelling real exchange rate behavior: A cross-country study. Applied Financial Economics 8, 577-587.

Pascalau, R., 2010. Unit root tests with smooth breaks: An application to the Nelson-Plosser data set. Applied Economics Letters 17, 565-570.

Perron, P., 1989. The great crash, the oil price shock and the unit root hypothesis. Econometrica 57, 1361-1401.

Perron, P., 1997. Further evidence on breaking trend functions in macroeconomic variables. Journal of Econometrics 80 (2), 355-385.

Perron, P., Vogelsang, T. J., 1992. Nonstationarity and level shifts with an application to purchasing power parity. Journal of Business and Economic Statistics 10, 301-320.

Phillips, P.C.B., Perron, P., 1988. Testing for a unit root in time series regression. Biometrika 75, 335-346.

Sarno, L., Taylor, M.P., 2002. Purchasing power parity and the real exchange rate. IMF Staff Papers 49, 65-105.

Taylor, A.M., Taylor, M.P., 2004. The purchasing power parity debate. Journal of Economic Perspectives 18(4), 135-158.

Wu, Y., 1996. Are real exchange rates nonstationary? Evidence from a panel-data test. Journal of Money, Credit and Banking 28, 54-63.

Wu, J. L., Lee, H. Y., 2009. A revisit to the non-linear mean reversion of real exchange rates: Evidence from a series-specific non-linear panel unit-root test. Journal of Macroeconomics 31, 591-601.

Zivot, E., Andrews, K., 1992. Further evidence on the great crash, the oil price shock, and the unit root hypothesis. Journal of Business and Economic Statistics 10 (10), 251-270.

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2013-12-20

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