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Are Real Exchange Rates Nonlinear or Nonstationary? Evidence from a New Threshold Unit Root Test

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  • Basci Erdem

    (Central Bank of Turkey)

  • Caner Mehmet

    (University of Pittsburgh, Department of Economics)

Abstract

We analyze the post-float real exchange rates for a group of OECD countries using the newly developed threshold test and tests for unit roots against stationary but nonlinear alternative by Caner and Hansen ( 2001). These tools help us disentangle the nonlinearity from the nonstationarity rigorously for the first time in the literature. After applying the threshold test and unit root tests: we find evidence for non-linearity of exchange rates. Specifically real exchange rates behave like a unit root in a band and when the depreciation or appreciation of the currency against $US exceeds the boundaries of the band , the real exchange rates are mean-reverting. The threshold value is treated as unknown and estimated in the model.

Suggested Citation

  • Basci Erdem & Caner Mehmet, 2005. "Are Real Exchange Rates Nonlinear or Nonstationary? Evidence from a New Threshold Unit Root Test," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 9(4), pages 1-21, December.
  • Handle: RePEc:bpj:sndecm:v:9:y:2005:i:4:n:2
    DOI: 10.2202/1558-3708.1273
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    1. Cheung, Yin-Wong & Lai, Kon S., 2000. "On the purchasing power parity puzzle," Journal of International Economics, Elsevier, vol. 52(2), pages 321-330, December.
    2. Obstfeld, Maurice & Rogoff, Kenneth, 1995. "Exchange Rate Dynamics Redux," Journal of Political Economy, University of Chicago Press, vol. 103(3), pages 624-660, June.
    3. Philip R. Lane & Gian Maria Milesi-Ferretti, 2004. "The Transfer Problem Revisited: Net Foreign Assets and Real Exchange Rates," The Review of Economics and Statistics, MIT Press, vol. 86(4), pages 841-857, November.
    4. Frankel, Jeffrey A. & Rose, Andrew K., 1996. "A panel project on purchasing power parity: Mean reversion within and between countries," Journal of International Economics, Elsevier, vol. 40(1-2), pages 209-224, February.
    5. 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 862-879, August.
    6. Hansen, Bruce E, 1996. "Inference When a Nuisance Parameter Is Not Identified under the Null Hypothesis," Econometrica, Econometric Society, vol. 64(2), pages 413-430, March.
    7. Engel, Charles, 2000. "Long-run PPP may not hold after all," Journal of International Economics, Elsevier, vol. 51(2), pages 243-273, August.
    8. 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.
    9. Kenneth Rogoff, 1996. "The Purchasing Power Parity Puzzle," Journal of Economic Literature, American Economic Association, vol. 34(2), pages 647-668, June.
    10. Pham, Tuan D. & Tran, Lanh T., 1985. "Some mixing properties of time series models," Stochastic Processes and their Applications, Elsevier, vol. 19(2), pages 297-303, April.
    11. George Kapetanios & Yongcheol Shin, 2006. "Unit root tests in three-regime SETAR models," Econometrics Journal, Royal Economic Society, vol. 9(2), pages 252-278, July.
    12. Taylor, Alan M, 2001. "Potential Pitfalls for the Purchasing-Power-Parity Puzzle? Sampling and Specification Biases in Mean-Reversion Tests of the Law of One Price," Econometrica, Econometric Society, vol. 69(2), pages 473-498, March.
    13. 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.
    14. Dornbusch, Rudiger, 1976. "Expectations and Exchange Rate Dynamics," Journal of Political Economy, University of Chicago Press, vol. 84(6), pages 1161-1176, December.
    15. Obstfeld, Maurice & Taylor, Alan M., 1997. "Nonlinear Aspects of Goods-Market Arbitrage and Adjustment: Heckscher's Commodity Points Revisited," Journal of the Japanese and International Economies, Elsevier, vol. 11(4), pages 441-479, December.
    16. Dumas, Bernard, 1992. "Dynamic Equilibrium and the Real Exchange Rate in a Spatially Separated World," The Review of Financial Studies, Society for Financial Studies, vol. 5(2), pages 153-180.
    17. George Kapetanios & Yongcheol Shin, 2006. "Unit root tests in three-regime SETAR models," Econometrics Journal, Royal Economic Society, vol. 9(2), pages 252-278, July.
    18. Shively, Philip A., 2001. "A test of long-run purchasing power parity," Economics Letters, Elsevier, vol. 73(2), pages 201-205, November.
    19. Pesaran, M. Hashem & Potter, Simon M., 1997. "A floor and ceiling model of US output," Journal of Economic Dynamics and Control, Elsevier, vol. 21(4-5), pages 661-695, May.
    20. Mehmet Caner & Bruce E. Hansen, 2001. "Threshold Autoregression with a Unit Root," Econometrica, Econometric Society, vol. 69(6), pages 1555-1596, November.
    21. Sercu, Piet & Uppal, Raman & Van Hulle, Cynthia, 1995. "The Exchange Rate in the Presence of Transaction Costs: Implications for Tests of Purchasing Power Parity," Journal of Finance, American Finance Association, vol. 50(4), pages 1309-1319, September.
    22. Gonzalo, Jesus & Pitarakis, Jean-Yves, 2002. "Estimation and model selection based inference in single and multiple threshold models," Journal of Econometrics, Elsevier, vol. 110(2), pages 319-352, October.
    23. Murray, Christian J. & Papell, David H., 2002. "The purchasing power parity persistence paradigm," Journal of International Economics, Elsevier, vol. 56(1), pages 1-19, January.
    24. Taylor, Mark P. & Peel, David A., 2000. "Nonlinear adjustment, long-run equilibrium and exchange rate fundamentals," Journal of International Money and Finance, Elsevier, vol. 19(1), pages 33-53, February.
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    Cited by:

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    3. Sofiane Sekioua, 2004. "The forward unbiasedness hypothesis and the forward premium: a nonlinear analysis," Money Macro and Finance (MMF) Research Group Conference 2003 85, Money Macro and Finance Research Group.
    4. Ahmed, Mumtaz & Bashir, Uzma & Ullah, Irfan, 2021. "Testing for explosivity in US-Pak Exchange Rate via Sequential ADF Procedures," MPRA Paper 109607, University Library of Munich, Germany.
    5. Basci Erdem & Caner Mehmet & Yoon Gawon, 2006. "Corrigendum to "Are Real Exchange Rates Nonlinear or Non-Stationary? Evidence from a New Threshold Unit Root Test"," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 10(2), pages 1-6, May.
    6. Maslyuk, Svetlana & Smyth, Russell, 2009. "Non-linear unit root properties of crude oil production," Energy Economics, Elsevier, vol. 31(1), pages 109-118, January.
    7. Qian, Xi-Yuan & Song, Fu-Tie & Zhou, Wei-Xing, 2008. "Nonlinear behaviour of the Chinese SSEC index with a unit root: Evidence from threshold unit root tests," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(2), pages 503-510.
    8. Sekioua, Sofiane H., 2006. "Nonlinear adjustment in the forward premium: evidence from a threshold unit root test," International Review of Economics & Finance, Elsevier, vol. 15(2), pages 164-183.
    9. Ghosh, Sunandan & Kundu, Srikanta, 2019. "Central Bank Intervention in Foreign Exchange Market under Managed Float: A Three Regime Threshold VAR Analysis of Indian Rupee-US Dollar Exchange Rate," MPRA Paper 93466, University Library of Munich, Germany.
    10. David O. Cushman, 2008. "Real exchange rates may have nonlinear trends," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 13(2), pages 158-173.
    11. Aidil Rizal SHAHRIN, 2015. "Has Nonlinearity Resolved The A Nomaly Of Unit Root Behaviour In Forward Discount ? New Empirical Evidence," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 0(1), pages 70-80, March.
    12. Penelope Smith, 2006. "Bayesian Inference for a Threshold Autoregression with a Unit Root," Melbourne Institute Working Paper Series wp2006n20, Melbourne Institute of Applied Economic and Social Research, The University of Melbourne.
    13. Sekioua, Sofiane H., 2008. "Real interest parity (RIP) over the 20th century: New evidence based on confidence intervals for the largest root and the half-life," Journal of International Money and Finance, Elsevier, vol. 27(1), pages 76-101, February.
    14. Sofiane Hicham Sekioua, 2003. "The Nominal Exchange Rate and Monetary Fundamentals: Evidence from Nonlinear Unit Root Tests," Economics Bulletin, AccessEcon, vol. 6(1), pages 1-13.
    15. Chevallier, Julien, 2011. "Evaluating the carbon-macroeconomy relationship: Evidence from threshold vector error-correction and Markov-switching VAR models," Economic Modelling, Elsevier, vol. 28(6), pages 2634-2656.
    16. Cavicchioli, Maddalena & Pistoresi, Barbara, 2016. "Testing threshold cointegration in Wagner's Law: The role of military spending," Economic Modelling, Elsevier, vol. 59(C), pages 23-31.
    17. Qaiser Munir & Kasim Mansur, 2009. "Is Malaysian Stock Market Efficient? Evidence from Threshold Unit Root Tests," Economics Bulletin, AccessEcon, vol. 29(2), pages 1359-1370.
    18. Suardi, Sandy, 2008. "Central bank intervention, threshold effects and asymmetric volatility: Evidence from the Japanese yen-US dollar foreign exchange market," Economic Modelling, Elsevier, vol. 25(4), pages 628-642, July.
    19. Laurent Callot & Mehmet Caner & Anders Bredahl Kock & Juan Andres Riquelme, 2017. "Sharp Threshold Detection Based on Sup-Norm Error Rates in High-Dimensional Models," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 35(2), pages 250-264, April.
    20. Derek Bond & Michael J. Harrison & Edward J. O'Brien, 2006. "Purchasing Power Parity: The Irish Experience Re-visited," Trinity Economics Papers tep200615, Trinity College Dublin, Department of Economics.

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    More about this item

    JEL classification:

    • F3 - International Economics - - International Finance
    • F4 - International Economics - - Macroeconomic Aspects of International Trade and Finance

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