IDEAS home Printed from https://ideas.repec.org/a/jae/japmet/v17y2002i2p107-125.html
   My bibliography  Save this article

Quantifying the uncertainty about the half-life of deviations from PPP

Author

Listed:
  • Lutz Kilian

    (Department of Economics, University of Michigan, Ann Arbor, MI 48109-1220, USA and Centre for Economic Policy Research, London, UK)

  • Tao Zha

    (Research Department, Federal Reserve Bank of Atlanta, Atlanta, GA 30303, USA)

Abstract

We propose a Bayesian framework in which the uncertainty about the half-life of deviations from purchasing power parity can be quantified. Based on the responses to a survey study, we propose a prior probability distribution for the half-life under the recent float intended to capture widely held views among economists. We derive the posterior probability distribution of the half-life under this consensus prior and confirm the presence of substantial uncertainty about the half-life. We provide for the first time a comprehensive formal evaluation of several nonnested hypotheses of economic interest, including Rogoff's (1996) claim that the half-life is contained in the range of 3 to 5 years. We find that no hypothesis receives strong support from the data. Copyright © 2002 John Wiley & Sons, Ltd.

Suggested Citation

  • 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.
  • Handle: RePEc:jae:japmet:v:17:y:2002:i:2:p:107-125
    as

    Download full text from publisher

    File URL: http://qed.econ.queensu.ca:80/jae/2002-v17.2/
    File Function: Supporting data files and programs
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    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. Diebold, Francis X & Husted, Steven & Rush, Mark, 1991. "Real Exchange Rates under the Gold Standard," Journal of Political Economy, University of Chicago Press, vol. 99(6), pages 1252-1271, December.
    3. Obstfeld, Maurice & Rogoff, Kenneth, 1995. "Exchange Rate Dynamics Redux," Journal of Political Economy, University of Chicago Press, vol. 103(3), pages 624-660, June.
    4. Edison, Hali J. & Gagnon, Joseph E. & Melick, William R., 1997. "Understanding the empirical literature on purchasing power parity: the post-Bretton Woods era," Journal of International Money and Finance, Elsevier, vol. 16(1), pages 1-17, February.
    5. John Geweke, "undated". "Posterior Simulators in Econometrics," Computing in Economics and Finance 1996 _019, Society for Computational Economics.
    6. Kenneth Rogoff, 1996. "The Purchasing Power Parity Puzzle," Journal of Economic Literature, American Economic Association, vol. 34(2), pages 647-668, June.
    7. Kenneth Rogoff, 1992. "Traded Goods Consumption Smoothing and the Random Walk Behavior of the Real Exchange Rate," Monetary and Economic Studies, Institute for Monetary and Economic Studies, Bank of Japan, vol. 10(2), pages 1-29, November.
    8. Frankel, Jeffrey A & Froot, Kenneth A, 1987. "Using Survey Data to Test Standard Propositions Regarding Exchange Rate Expectations," American Economic Review, American Economic Association, vol. 77(1), pages 133-153, March.
    9. Caner, M. & Kilian, L., 2001. "Size distortions of tests of the null hypothesis of stationarity: evidence and implications for the PPP debate," Journal of International Money and Finance, Elsevier, vol. 20(5), pages 639-657, October.
    10. Litterman, Robert B, 1986. "Forecasting with Bayesian Vector Autoregressions-Five Years of Experience," Journal of Business & Economic Statistics, American Statistical Association, vol. 4(1), pages 25-38, January.
    11. 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 1015-1042, November.
    12. Papell, David H. & Theodoridis, Hristos, 1998. "Increasing evidence of purchasing power parity over the current float," Journal of International Money and Finance, Elsevier, vol. 17(1), pages 41-50, February.
    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. Cheung, Yin-Wong & Lai, Kon S., 2000. "On cross-country differences in the persistence of real exchange rates," Journal of International Economics, Elsevier, vol. 50(2), pages 375-397, April.
    15. 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.
    16. Schotman, Peter & van Dijk, Herman K., 1991. "A Bayesian analysis of the unit root in real exchange rates," Journal of Econometrics, Elsevier, vol. 49(1-2), pages 195-238.
    17. Geweke, John, 1996. "Monte carlo simulation and numerical integration," Handbook of Computational Economics, in: H. M. Amman & D. A. Kendrick & J. Rust (ed.), Handbook of Computational Economics, edition 1, volume 1, chapter 15, pages 731-800, Elsevier.
    18. Taylor, Mark P. & Sarno, Lucio, 1998. "The behavior of real exchange rates during the post-Bretton Woods period," Journal of International Economics, Elsevier, vol. 46(2), pages 281-312, December.
    19. 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.
    20. Sims, Christopher A & Zha, Tao, 1998. "Bayesian Methods for Dynamic Multivariate Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(4), pages 949-968, November.
    21. Shang-Jin Wei & David C. Parsley, 1995. "Purchasing Power Disparity During the Floating Rate Period: Exchange Rate Volatility, Trade Barriers and Other Culprits," NBER Working Papers 5032, National Bureau of Economic Research, Inc.
    22. David C. Parsley & Shang-Jin Wei, 1996. "Convergence to the Law of One Price Without Trade Barriers or Currency Fluctuations," The Quarterly Journal of Economics, Oxford University Press, vol. 111(4), pages 1211-1236.
    23. Abuaf, Niso & Jorion, Philippe, 1990. "Purchasing Power Parity in the Long Run," Journal of Finance, American Finance Association, vol. 45(1), pages 157-174, March.
    24. Froot, Kenneth A. & Rogoff, Kenneth, 1995. "Perspectives on PPP and long-run real exchange rates," Handbook of International Economics, in: G. M. Grossman & K. Rogoff (ed.), Handbook of International Economics, edition 1, volume 3, chapter 32, pages 1647-1688, Elsevier.
    25. Tao Zha, 1998. "A dynamic multivariate model for use in formulating policy," Economic Review, Federal Reserve Bank of Atlanta, vol. 83(Q 1), pages 16-29.
    26. 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.
    27. 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.
    28. Hans M. Amman & David A. Kendrick, . "Computational Economics," Online economics textbooks, SUNY-Oswego, Department of Economics, number comp1, August.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Kilian, L. & Zha, T., 1999. "Quantifying the Half-Life of Deviations from PPP: The Role of Economic Priors," Working Papers 450, Research Seminar in International Economics, University of Michigan.
    2. Cheung, Yin-Wong & Lai, Kon S., 2000. "On cross-country differences in the persistence of real exchange rates," Journal of International Economics, Elsevier, vol. 50(2), pages 375-397, April.
    3. 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.
    4. Yihui Lan, 2001. "The Explosion of Purchasing Power Parity," Economics Discussion / Working Papers 01-22, The University of Western Australia, Department of Economics.
    5. Cheung, Yin-Wong & Lai, Kon S. & Bergman, Michael, 2004. "Dissecting the PPP puzzle: the unconventional roles of nominal exchange rate and price adjustments," Journal of International Economics, Elsevier, vol. 64(1), pages 135-150, October.
    6. Choi, Chi-Young, 2004. "Searching for evidence of long-run PPP from a post-Bretton Woods panel: separating the wheat from the chaff," Journal of International Money and Finance, Elsevier, vol. 23(7-8), pages 1159-1186.
    7. Brissimis, Sophocles N. & Sideris, Dimitris A. & Voumvaki, Fragiska K., 2005. "Testing long-run purchasing power parity under exchange rate targeting," Journal of International Money and Finance, Elsevier, vol. 24(6), pages 959-981, October.
    8. 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.
    9. Maican, Florin G. & Sweeney, Richard J., 2013. "Real exchange rate adjustment in European transition countries," Journal of Banking & Finance, Elsevier, vol. 37(3), pages 907-926.
    10. Jean Imbs & Haroon Mumtaz & Morten O. Ravn & Hélène Rey, 2005. "PPP Strikes Back: Aggregation And the Real Exchange Rate," The Quarterly Journal of Economics, Oxford University Press, vol. 120(1), pages 1-43.
    11. César Calderón & Roberto Duncan, 2003. "Purchasing power parity in an emerging market economy: a long- span study for Chile," Estudios de Economia, University of Chile, Department of Economics, vol. 30(1 Year 20), pages 103-132, June.
    12. Curran, Michael & Velic, Adnan, 2019. "Real exchange rate persistence and country characteristics: A global analysis," Journal of International Money and Finance, Elsevier, vol. 97(C), pages 35-56.
    13. Alan M. Taylor, 2002. "A Century Of Purchasing-Power Parity," The Review of Economics and Statistics, MIT Press, vol. 84(1), pages 139-150, February.
    14. Qian Chen & David E. Giles, 2007. "A Saddlepoint Approximation to the Distribution of the Half-Life Estimator in an Autoregressive Model: New Insights Into the PPP Puzzle," Econometrics Working Papers 0703, Department of Economics, University of Victoria.
    15. Okimoto, Tatsuyoshi & Shimotsu, Katsumi, 2010. "Decline in the persistence of real exchange rates, but not sufficient for purchasing power parity," Journal of the Japanese and International Economies, Elsevier, vol. 24(3), pages 395-411, September.
    16. 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.
    17. Tatsuyoshi Okimoto & Katsumi Shimotsu, 2007. "Financial Market Integration And World Economic Stabilization Toward Purchasing Power Parity," Working Paper 1138, Economics Department, Queen's University.
    18. Param Silvapulle & Titi Kanti Lestari & Jae Kim, 2004. "Nonlinear Modelling of Purchasing Power Parity in Indonesia," Econometric Society 2004 Australasian Meetings 316, Econometric Society.
    19. 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.
    20. Sarno, Lucio & Valente, Giorgio, 2006. "Deviations from purchasing power parity under different exchange rate regimes: Do they revert and, if so, how?," Journal of Banking & Finance, Elsevier, vol. 30(11), pages 3147-3169, November.

    More about this item

    Lists

    This item is featured on the following reading lists, Wikipedia, or ReplicationWiki pages:
    1. Quantifying the uncertainty about the half-life of deviations from PPP (Journal of Applied Econometrics 2002) in ReplicationWiki

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:jae:japmet:v:17:y:2002:i:2:p:107-125. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: . General contact details of provider: http://www.interscience.wiley.com/jpages/0883-7252/ .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley-Blackwell Digital Licensing or Christopher F. Baum (email available below). General contact details of provider: http://www.interscience.wiley.com/jpages/0883-7252/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.