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Time-Varying Thresholds: An Application to Purchasing Power Parity

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  • Mr. Gene L. Leon
  • Serineh Najarian

Abstract

This paper introduces a time-varying threshold autoregressive model (TVTAR), which is used to examine the persistence of deviations from PPP. We find support for the stationary TVTAR against the unit root hypothesis; however, for some developing countries, we do not reject the TVTAR with a unit root in the corridor regime. We calculate magnitudes, frequencies, and durations of the deviations of exchange rates from forecasted changes in exchange rates. A key result is asymmetric adjustment. In developing countries, the average cumulative deviation from forecasts during periods when exchange rates are below forecasts is twice the corresponding measure during periods when exchange rates are above forecasts.

Suggested Citation

  • Mr. Gene L. Leon & Serineh Najarian, 2003. "Time-Varying Thresholds: An Application to Purchasing Power Parity," IMF Working Papers 2003/181, International Monetary Fund.
    • Handle: RePEc:imf:imfwpa:2003/181
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    1. Adrian Pagan, 2002. "Learning About Models and Their Fit to Data," International Economic Journal, Taylor & Francis Journals, vol. 16(2), pages 1-18.
    2. Bergman, U. Michael & Hansson, Jesper, 1999. "Real Exchange Rates and Switching Regimes," Working Papers 1999:4, Lund University, Department of Economics, revised 08 Jun 2000.
    3. Calvo, Guillermo A. & Reinhart, Carmen M. & Vegh, Carlos A., 1995. "Targeting the real exchange rate: theory and evidence," Journal of Development Economics, Elsevier, vol. 47(1), pages 97-133, June.
    4. 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.
    5. 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.
    6. Lane, Philip R. & Milesi-Ferretti, Gian Maria, 2001. "The external wealth of nations: measures of foreign assets and liabilities for industrial and developing countries," Journal of International Economics, Elsevier, vol. 55(2), pages 263-294, December.
    7. 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.
    8. Sarno, Lucio & Taylor, Mark P. & Chowdhury, Ibrahim, 2004. "Nonlinear dynamics in deviations from the law of one price: a broad-based empirical study," Journal of International Money and Finance, Elsevier, vol. 23(1), pages 1-25, February.
    9. Sarno,Lucio & Taylor,Mark P., 2003. "The Economics of Exchange Rates," Cambridge Books, Cambridge University Press, number 9780521485845.
    10. Hausman, Jerry, 2015. "Specification tests in econometrics," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 38(2), pages 112-134.
    11. 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.
    12. 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.
    13. Mehmet Caner & Bruce E. Hansen, 2001. "Threshold Autoregression with a Unit Root," Econometrica, Econometric Society, vol. 69(6), pages 1555-1596, November.
    14. 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.
    15. Pippenger, Michael K & Goering, Gregory E, 1993. "A Note on the Empirical Power of Unit Root Tests under Threshold Processes," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 55(4), pages 473-481, November.
    16. 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.
    17. Serena Ng & Pierre Perron, 2001. "LAG Length Selection and the Construction of Unit Root Tests with Good Size and Power," Econometrica, Econometric Society, vol. 69(6), pages 1519-1554, November.
    18. Avinash Dixit, 1989. "Hysteresis, Import Penetration, and Exchange Rate Pass-Through," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 104(2), pages 205-228.
    19. Jonathan Haskel & Holger Wolf, 2001. "The Law of One Price—A Case Study," Scandinavian Journal of Economics, Wiley Blackwell, vol. 103(4), pages 545-558, December.
    20. Newey, Whitney & West, Kenneth, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 33(1), pages 125-132.
    21. Dahl, Christian M. & Gonzalez-Rivera, Gloria, 2003. "Testing for neglected nonlinearity in regression models based on the theory of random fields," Journal of Econometrics, Elsevier, vol. 114(1), pages 141-164, May.
    22. Robert B. Davies, 2002. "Hypothesis testing when a nuisance parameter is present only under the alternative: Linear model case," Biometrika, Biometrika Trust, vol. 89(2), pages 484-489, June.
    23. Calvo, Guillermo A. & Reinhart, Carmen M. & Vegh, Carlos A., 1995. "Targeting the real exchange rate: theory and evidence," Journal of Development Economics, Elsevier, vol. 47(1), pages 97-133, June.
    24. Lane, Philip & Milesi-Ferretti, Gian Maria, "undated". "External Wealth of Nations," Instructional Stata datasets for econometrics extwealth, Boston College Department of Economics.
    25. Hansen Bruce E., 1997. "Inference in TAR Models," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 2(1), pages 1-16, April.
    26. Ms. Jayasri Dutta, 2002. "Dread of Depreciation: Measuring Real Exchange Rate Interventions," IMF Working Papers 2002/063, International Monetary Fund.
    27. Haskel, Jonathan & Wolf, Holger, 2001. " The Law of One Price--A Case Study," Scandinavian Journal of Economics, Wiley Blackwell, vol. 103(4), pages 545-558, December.
    28. Paul De Grauwe & Marianna Grimaldi, 2002. "The Exchange Rate in a Model with Heterogeneous Agents and Transactions Costs," CESifo Working Paper Series 792, CESifo.
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    Cited by:

    1. McMillan, David G., 2009. "The confusing time-series behaviour of real exchange rates: Are asymmetries important?," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 19(4), pages 692-711, October.
    2. Hyginus Leon & Serineh Najarian, 2005. "Asymmetric adjustment and nonlinear dynamics in real exchange rates," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 10(1), pages 15-39.
    3. Saint Kuttu, 2018. "Asymmetric mean reversion and volatility in African real exchange rates," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 42(3), pages 575-590, July.
    4. Lucio Sarno, 2003. "Nonlinear Exchange Rate Models: A Selective Overview," Rivista di Politica Economica, SIPI Spa, vol. 93(4), pages 3-46, July-Augu.
    5. Nicolau João, 2011. "Purchasing Power Parity Analyzed from a Continuous-Time Model," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 15(3), pages 1-26, May.
    6. Mr. Gene L. Leon & Serineh Najarian, 2003. "Asymmetric Adjustment and Nonlinear Dynamics in Real Exchange Rates," IMF Working Papers 2003/159, International Monetary Fund.

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    WP; exchange rate;

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