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Real exchange rate forecasting: a calibrated half-life PPP model can beat the random walk

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  • Ca' Zorzi, Michele
  • Rubaszek, Michał
  • Muck, Jakub

Abstract

This paper brings three new insights into the Purchasing Power Parity (PPP) debate. First, we show that a half-life PPP model is able to forecast real exchange rates (RER) better than the random walk (RW) model at both short and long-term horizons. Secondly, we find that this result holds only if the speed of adjustment to the sample mean is calibrated at reasonable values rather than estimated. Finally, we find that it is also preferable to calibrate, rather than to elicit as a prior, the parameter determining the speed of adjustment to PPP. JEL Classification: C32, F31, F37

Suggested Citation

  • Ca' Zorzi, Michele & Rubaszek, Michał & Muck, Jakub, 2013. "Real exchange rate forecasting: a calibrated half-life PPP model can beat the random walk," Working Paper Series 1576, European Central Bank.
    • Handle: RePEc:ecb:ecbwps:20131576
    Note: 343031
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    1. Jean Imbs & Haroon Mumtaz & Morten O. Ravn & Hélène Rey, 2005. "PPP Strikes Back: Aggregation And the Real Exchange Rate," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 120(1), pages 1-43.
    2. Kenneth Rogoff, 1996. "The Purchasing Power Parity Puzzle," Journal of Economic Literature, American Economic Association, vol. 34(2), pages 647-668, June.
    3. Engel, Charles, 2014. "Exchange Rates and Interest Parity," Handbook of International Economics, in: Gopinath, G. & Helpman, . & Rogoff, K. (ed.), Handbook of International Economics, edition 1, volume 4, chapter 0, pages 453-522, Elsevier.
    4. Charles Engel & Nelson C. Mark & Kenneth D. West, 2008. "Exchange Rate Models Are Not as Bad as You Think," NBER Chapters, in: NBER Macroeconomics Annual 2007, Volume 22, pages 381-441, National Bureau of Economic Research, Inc.
    5. Pesaran, M Hashem & Timmermann, Allan, 1992. "A Simple Nonparametric Test of Predictive Performance," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(4), pages 561-565, October.
    6. Marc Klau & San Sau Fung, 2006. "The new BIS effective exchange rate indices," BIS Quarterly Review, Bank for International Settlements, March.
    7. Amalia Zumaquero & Rodrigo Urrea, 2002. "Purchasing Power Parity: Error Correction Models and Structural Breaks," Open Economies Review, Springer, vol. 13(1), pages 5-26, January.
    8. Christian Murray & David Papell, 2005. "The purchasing power parity puzzle is worse than you think," Empirical Economics, Springer, vol. 30(3), pages 783-790, October.
    9. Jorion, Philippe & Sweeney, Richard J., 1996. "Mean reversion in real exchange rates: evidence and implications for forecasting," Journal of International Money and Finance, Elsevier, vol. 15(4), pages 535-550, August.
    10. Mayoral, Laura & Dolores Gadea, María, 2011. "Aggregate real exchange rate persistence through the lens of sectoral data," Journal of Monetary Economics, Elsevier, vol. 58(3), pages 290-304.
    11. Kenneth Rogoff, 2009. "Exchange rates in the modern floating era: what do we really know?," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 145(1), pages 1-12, April.
    12. Alan M. Taylor & Mark P. Taylor, 2004. "The Purchasing Power Parity Debate," Journal of Economic Perspectives, American Economic Association, vol. 18(4), pages 135-158, Fall.
    13. Mark, Nelson C. & Sul, Donggyu, 2001. "Nominal exchange rates and monetary fundamentals: Evidence from a small post-Bretton woods panel," Journal of International Economics, Elsevier, vol. 53(1), pages 29-52, February.
    14. Crucini, Mario J. & Shintani, Mototsugu, 2008. "Persistence in law of one price deviations: Evidence from micro-data," Journal of Monetary Economics, Elsevier, vol. 55(3), pages 629-644, April.
    15. Mark Holmes & Jesús Otero & Theodore Panagiotidis, 2012. "PPP in OECD Countries: An Analysis of Real Exchange Rate Stationarity, Cross-Sectional Dependency and Structural Breaks," Open Economies Review, Springer, vol. 23(5), pages 767-783, November.
    16. 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.
    17. Daron Acemoglu & Kenneth Rogoff & Michael Woodford, "undated". "Exchange Rate Models Are Not as Bad as You Think: A comment," Working Paper 14895, Harvard University OpenScholar.
    18. Cheung, Yin-Wong & Chinn, Menzie D. & Pascual, Antonio Garcia, 2005. "Empirical exchange rate models of the nineties: Are any fit to survive?," Journal of International Money and Finance, Elsevier, vol. 24(7), pages 1150-1175, November.
    19. Michael Pippenger & Gregory Goering, 1998. "Exchange Rate Forecasting: Results from a Threshold Autoregressive Model," Open Economies Review, Springer, vol. 9(2), pages 157-170, April.
    20. Paul R. Bergin & Reuven Glick & Jyh-Lin Wu, 2013. "The Micro-Macro Disconnect of Purchasing Power Parity," The Review of Economics and Statistics, MIT Press, vol. 95(3), pages 798-812, July.
    21. Fuller, Wayne A. & Hasza, David P., 1980. "Predictors for the first-order autoregressive process," Journal of Econometrics, Elsevier, vol. 13(2), pages 139-157, June.
    22. repec:bla:jfinan:v:43:y:1988:i:4:p:933-48 is not listed on IDEAS
    23. John C. Robertson & Ellis W. Tallman, 1999. "Vector autoregressions: forecasting and reality," Economic Review, Federal Reserve Bank of Atlanta, vol. 84(Q1), pages 4-18.
    24. Norman, Stephen, 2010. "How well does nonlinear mean reversion solve the PPP puzzle?," Journal of International Money and Finance, Elsevier, vol. 29(5), pages 919-937, September.
    25. López-Suárez, Carlos Felipe & Rodríguez-López, José Antonio, 2011. "Nonlinear exchange rate predictability," Journal of International Money and Finance, Elsevier, vol. 30(5), pages 877-895, September.
    26. Faust, Jon & Rogers, John H. & H. Wright, Jonathan, 2003. "Exchange rate forecasting: the errors we've really made," Journal of International Economics, Elsevier, vol. 60(1), pages 35-59, May.
    27. Efthymios G. Pavlidis & Ivan Paya & David A. Peel, 2012. "Forecast Evaluation of Nonlinear Models: The Case of Long‐Span Real Exchange Rates," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 31(7), pages 580-595, November.
    28. Meese, R. & Rogoff, K., 1988. "Was It Real? The Exchange Rate-Interest Differential Ralation Over The Modern Floating-Rate Period," Working papers 368, Wisconsin Madison - Social Systems.
    29. Mark, Nelson C, 1995. "Exchange Rates and Fundamentals: Evidence on Long-Horizon Predictability," American Economic Review, American Economic Association, vol. 85(1), pages 201-218, March.
    30. Lutz Kilian & Tao Zha, 2002. "Quantifying the uncertainty about the half-life of deviations from PPP," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 17(2), pages 107-125.
    31. Rossi, Barbara, 2006. "Are Exchange Rates Really Random Walks? Some Evidence Robust To Parameter Instability," Macroeconomic Dynamics, Cambridge University Press, vol. 10(1), pages 20-38, February.
    32. Kilian, Lutz, 1999. "Exchange Rates and Monetary Fundamentals: What Do We Learn from Long-Horizon Regressions?," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 14(5), pages 491-510, Sept.-Oct.
    33. Diebold, Francis X & Mariano, Roberto S, 2002. "Comparing Predictive Accuracy," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 134-144, January.
    34. Mark, Nelson C. & Choi, Doo-Yull, 1997. "Real exchange-rate prediction over long horizons," Journal of International Economics, Elsevier, vol. 43(1-2), pages 29-60, August.
    35. Rossi, Barbara, 2005. "Confidence Intervals for Half-Life Deviations From Purchasing Power Parity," Journal of Business & Economic Statistics, American Statistical Association, vol. 23, pages 432-442, October.
    36. Francis X. Diebold, 2015. "Comparing Predictive Accuracy, Twenty Years Later: A Personal Perspective on the Use and Abuse of Diebold-Mariano Tests," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 33(1), pages 1-1, January.
    37. Alan M. Taylor & Mark P. Taylor, 2004. "The Purchasing Power Parity Debate," Journal of Economic Perspectives, American Economic Association, vol. 18(4), pages 135-158, Fall.
    38. Meese, Richard A. & Rogoff, Kenneth, 1983. "Empirical exchange rate models of the seventies : Do they fit out of sample?," Journal of International Economics, Elsevier, vol. 14(1-2), pages 3-24, February.
    39. Ince, Onur, 2014. "Forecasting exchange rates out-of-sample with panel methods and real-time data," Journal of International Money and Finance, Elsevier, vol. 43(C), pages 1-18.
    40. 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.
    41. G. Elliott & C. Granger & A. Timmermann (ed.), 2013. "Handbook of Economic Forecasting," Handbook of Economic Forecasting, Elsevier, edition 1, volume 2, number 2.
    42. Chinn, Menzie D. & Meese, Richard A., 1995. "Banking on currency forecasts: How predictable is change in money?," Journal of International Economics, Elsevier, vol. 38(1-2), pages 161-178, February.
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    Cited by:

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    2. Abakah, Emmanuel Joel Aikins & Brahim, Mariem & Carlotti, Jean-Etienne & Tiwari, Aviral Kumar & Mensi, Walid, 2024. "Extreme downside risk connectedness and portfolio hedging among the G10 currencies," International Economics, Elsevier, vol. 178(C).
    3. Cheung, Yin-Wong & Chinn, Menzie D. & Pascual, Antonio Garcia & Zhang, Yi, 2019. "Exchange rate prediction redux: New models, new data, new currencies," Journal of International Money and Finance, Elsevier, vol. 95(C), pages 332-362.
    4. Michele Ca' Zorzi & Alexander Chudik, 2013. "Spatial considerations on the PPP debate," Globalization Institute Working Papers 138, Federal Reserve Bank of Dallas.
    5. Michał Chojnowski & Piotr Dybka, 2017. "Is Exchange Rate Moody? Forecasting Exchange Rate with Google Trends Data," Econometric Research in Finance, SGH Warsaw School of Economics, Collegium of Economic Analysis, vol. 2(1), pages 1-21, June.
    6. M S Eichenbaum & B K Johannsen & S T Rebelo, 2021. "Monetary Policy and the Predictability of Nominal Exchange Rates," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 88(1), pages 192-228.
    7. Ca' Zorzi, Michele & Longaric, Pablo Anaya & Rubaszek, Michał, 2021. "The predictive power of equilibrium exchange rate models," Economic Bulletin Articles, European Central Bank, vol. 7.
    8. Nyoni, Thabani, 2019. "An ARIMA analysis of the Indian Rupee/USD exchange rate in India," MPRA Paper 96908, University Library of Munich, Germany.
    9. Adrian Marek Burda & Blazej Mazur & Mateusz Pawel Pipien, 2017. "Forecasting EUR/PLN Exchange Rate: the Role of Purchasing Power Parity Hypothesis in ESTVEC Models," Dynamic Econometric Models, Uniwersytet Mikolaja Kopernika, vol. 17, pages 97-114.
    10. Zorzi, Michele Ca’ & Rubaszek, Michał, 2020. "Exchange rate forecasting on a napkin," Journal of International Money and Finance, Elsevier, vol. 104(C).
    11. Petropoulos, Fotios & Apiletti, Daniele & Assimakopoulos, Vassilios & Babai, Mohamed Zied & Barrow, Devon K. & Ben Taieb, Souhaib & Bergmeir, Christoph & Bessa, Ricardo J. & Bijak, Jakub & Boylan, Joh, 2022. "Forecasting: theory and practice," International Journal of Forecasting, Elsevier, vol. 38(3), pages 705-871.
      • Fotios Petropoulos & Daniele Apiletti & Vassilios Assimakopoulos & Mohamed Zied Babai & Devon K. Barrow & Souhaib Ben Taieb & Christoph Bergmeir & Ricardo J. Bessa & Jakub Bijak & John E. Boylan & Jet, 2020. "Forecasting: theory and practice," Papers 2012.03854, arXiv.org, revised Jan 2022.
    12. Shaowen Luo, 2023. "Risk and return in the foreign exchange market: Measurement without VARs," International Finance, Wiley Blackwell, vol. 26(1), pages 64-81, April.
    13. Rubaszek, Michał & Beckmann, Joscha & Ca' Zorzi, Michele & Kwas, Marek, 2022. "Boosting carry with equilibrium exchange rate estimates," Working Paper Series 2731, European Central Bank.
    14. Maria Eleftheriou & Nikolas A. Müller-Plantenberg, 2018. "The Purchasing Power Parity Fallacy: Time to Reconsider the PPP Hypothesis," Open Economies Review, Springer, vol. 29(3), pages 481-515, July.
    15. Christina Anderl & Guglielmo Maria Caporale, 2021. "Nonlinearities and asymmetric adjustment to PPP in an exchange rate model with inflation expectations," Journal of Economic Studies, Emerald Group Publishing Limited, vol. 49(6), pages 937-959, August.
    16. Ca’ Zorzi, Michele & Rubaszek, Michał, 2023. "How many fundamentals should we include in the behavioral equilibrium exchange rate model?," Economic Modelling, Elsevier, vol. 118(C).
    17. Reaz, Md & Mahat, Fauziah & Dahir, Ahmed Mohamed & Sahabuddin, Mohammad & Al Mahi, Abu Saad Md Masnun, 2017. "Exchange rate volatility and financial performance of agriculture firms in Malaysia: An empirical analysis using GARCH, wavelet and system GMM," Business and Economic Horizons (BEH), Prague Development Center (PRADEC), vol. 13(3).
    18. Piotr Dybka, 2020. "One model or many? Exchange rates determinants and their predictive capabilities," KAE Working Papers 2020-053, Warsaw School of Economics, Collegium of Economic Analysis.
    19. Jackson, Karen & Magkonis, Georgios, 2024. "Exchange rate predictability: Fact or fiction?," Journal of International Money and Finance, Elsevier, vol. 142(C).

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    More about this item

    Keywords

    Exchange rate forecasting; half-life; purchasing power parity;
    All these keywords.

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • F31 - International Economics - - International Finance - - - Foreign Exchange
    • F37 - International Economics - - International Finance - - - International Finance Forecasting and Simulation: Models and Applications

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