IDEAS home Printed from
MyIDEAS: Login to save this paper or follow this series

The persistence of inflation in OECD countries: A fractionally integrated approach

  • Laura Mayoral

The statistical properties of inflation and, in particular, its degree of persistence and stability over time is a subject of intense debate and no consensus has been achieved yet. The goal of this paper is to analyze this controversy using a general approach, with the aim of providing a plausible explanation for the existing contradictory results. We consider the inflation rates of 21 OECD countries which are modelled as fractionally integrated (FI) processes. First, we show analytically that FI can appear in inflation rates after aggregating individual prices from firms that face different costs of adjusting their prices. Then, we provide robust empirical evidence supporting the FI hypothesis using both classical and Bayesian techniques. Next, we estimate impulse response functions and other scalar measures of persistence, achieving an accurate picture of this property and its variation across countries. It is shown that the application of some popular tools for measuring persistence, such as the sum of the AR coefficients, could lead to erroneous conclusions if fractional integration is present. Finally, we explore the existence of changes in inflation inertia using a novel approach. We conclude that the persistence of inflation is very high (although non-permanent) in most post-industrial countries and that it has remained basically unchanged over the last four decades.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL:
File Function: Whole Paper
Download Restriction: no

Paper provided by Department of Economics and Business, Universitat Pompeu Fabra in its series Economics Working Papers with number 958.

in new window

Date of creation: Feb 2005
Date of revision: Oct 2005
Handle: RePEc:upf:upfgen:958
Contact details of provider: Web page:

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as in new window
  1. Diebold, Francis X. & Rudebusch, Glenn D., 1989. "Long memory and persistence in aggregate output," Journal of Monetary Economics, Elsevier, vol. 24(2), pages 189-209, September.
  2. David Byers & James Davidson & David Peel, 1997. "Modelling Political Popularity: an Analysis of Long-range Dependence in Opinion Poll Series," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 160(3), pages 471-490.
  3. Alogoskoufis, George S & Smith, Ron, 1991. "The Phillips Curve, the Persistence of Inflation, and the Lucas Critique: Evidence from Exchange-Rate Regimes," American Economic Review, American Economic Association, vol. 81(5), pages 1254-75, December.
  4. Jordi Gali & Mark Gertler, 2000. "Inflation Dynamics: A Structural Econometric Analysis," NBER Working Papers 7551, National Bureau of Economic Research, Inc.
  5. Claudio Michelacci & Paolo Zaffaroni, 2000. "(Fractional) Beta Convergence," Temi di discussione (Economic working papers) 383, Bank of Italy, Economic Research and International Relations Area.
  6. Krämer, Walter & Sibbertsen, Philipp, 2000. "Testing for structural change in the presence of long memory," Technical Reports 2000,31, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
  7. Coenen, Günter, 2003. "Inflation persistence and robust monetary policy design," Working Paper Series 0290, European Central Bank.
  8. Chang-Jin Kim & Charles R. Nelson & Jeremy M. Piger, 2001. "The less volatile U.S. economy: a Bayesian investigation of timing, breadth, and potential explanations," International Finance Discussion Papers 707, Board of Governors of the Federal Reserve System (U.S.).
  9. Abadir, Karim & Talmain, Gabriel, 2002. "Aggregation, Persistence and Volatility in a Macro Model," Review of Economic Studies, Wiley Blackwell, vol. 69(4), pages 749-79, October.
  10. Julio Rotemberg, 1987. "The New Keynesian Microfoundations," NBER Chapters, in: NBER Macroeconomics Annual 1987, Volume 2, pages 69-116 National Bureau of Economic Research, Inc.
  11. Gerard O'Reilly & Karl Whelan, 2005. "Has Euro-area inflation persistence changed over time?," Open Access publications 10197/211, School of Economics, University College Dublin.
  12. Michael D. Bordo & Anna J. Schwartz, 1998. "Under What Circumstances, Past and Present, Have International Rescues of Countries in Financial Distress Been Successful?," NBER Working Papers 6824, National Bureau of Economic Research, Inc.
  13. Gunter Coenen & Volker Wieland, 2000. "A Small Estimated Euro-Area Model with Rational Expectations and Nominal Rigidities," Econometric Society World Congress 2000 Contributed Papers 1284, Econometric Society.
  14. Perron, Pierre & Zhu, Xiaokang, 2005. "Structural breaks with deterministic and stochastic trends," Journal of Econometrics, Elsevier, vol. 129(1-2), pages 65-119.
  15. Torben G. Andersen & Tim Bollerslev & Francis X. Diebold & Paul Labys, 1999. "The Distribution of Exchange Rate Volatility," New York University, Leonard N. Stern School Finance Department Working Paper Seires 99-059, New York University, Leonard N. Stern School of Business-.
  16. Franses, Ph.H.B.F. & Ooms, M. & Bos, C.S., 1998. "Long memory and level shifts: re-analysing inflation rates," Econometric Institute Research Papers EI 9811, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  17. Koop, G. & Ley, E. & Osiewalski, J. & Steel, M. F. J., . "Bayesian analysis of long memory and persistence using ARFIMA models," CORE Discussion Papers RP 1246, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  18. Jushan Bai & Pierre Perron, 1998. "Estimating and Testing Linear Models with Multiple Structural Changes," Econometrica, Econometric Society, vol. 66(1), pages 47-78, January.
  19. Luca Benati, 2008. "Investigating Inflation Persistence Across Monetary Regimes," The Quarterly Journal of Economics, MIT Press, vol. 123(3), pages 1005-1060, August.
  20. Donald W.K. Andrews, 1988. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Cowles Foundation Discussion Papers 877R, Cowles Foundation for Research in Economics, Yale University, revised Jul 1989.
  21. John Barkoulas & Christopher Baum & Gurkan Oguz, 1998. "Stochastic long memory in traded goods prices," Applied Economics Letters, Taylor & Francis Journals, vol. 5(3), pages 135-138.
  22. Jeffrey C. Fuhrer & George R. Moore, 1993. "Inflation persistence," Proceedings, Federal Reserve Bank of San Francisco, issue Mar.
  23. Ignazio Angeloni & Gunter Coenen & Frank Smets, 2003. "Persistence, The Transmission Mechanism And Robust Monetary Policy," Scottish Journal of Political Economy, Scottish Economic Society, vol. 50(5), pages 527-549, November.
  24. Laura Mayoral, 2006. "Is the Observed Persistence Spurious? A Test for Fractional Integration versus Short Memory and Structural Breaks," Working Papers 260, Barcelona Graduate School of Economics.
  25. John M. Roberts, 2001. "How well does the New Keynesian sticky-price model fit the data?," Finance and Economics Discussion Series 2001-13, Board of Governors of the Federal Reserve System (U.S.).
  26. John C. Driscoll & Steinar Holden, 2004. "Fairness and Inflation Persistence," Journal of the European Economic Association, MIT Press, vol. 2(2-3), pages 240-251, 04/05.
  27. Alogoskoufis, George, 1991. "Monetary Accommodation, Exchange Rate Regimes and Inflation Persistence," CEPR Discussion Papers 503, C.E.P.R. Discussion Papers.
  28. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
  29. Nunes, Luis C. & Kuan, Chung-Ming & Newbold, Paul, 1995. "Spurious Break," Econometric Theory, Cambridge University Press, vol. 11(04), pages 736-749, August.
  30. Ding, Zhuanxin & Granger, Clive W. J. & Engle, Robert F., 1993. "A long memory property of stock market returns and a new model," Journal of Empirical Finance, Elsevier, vol. 1(1), pages 83-106, June.
  31. repec:clu:wpaper:0102-19 is not listed on IDEAS
  32. Joseph G. Haubrich & Andrew W. Lo, 2001. "The sources and nature of long-term memory in aggregate output," Economic Review, Federal Reserve Bank of Cleveland, issue Q II, pages 15-30.
  33. Batini, Nicoletta, 2002. "Euro area inflation persistence," Working Paper Series 0201, European Central Bank.
  34. Kwiatkowski, Denis & Phillips, Peter C. B. & Schmidt, Peter & Shin, Yongcheol, 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, Elsevier, vol. 54(1-3), pages 159-178.
  35. George Hondroyiannis & Sophia Lazaretou, 2007. "Inflation persistence during periods of structural change: an assessment using Greek data," Empirica, Springer, vol. 34(5), pages 453-475, December.
  36. Diebold, Francis X & Senhadji, Abdelhak S, 1996. "The Uncertain Unit Root in Real GNP: Comment," American Economic Review, American Economic Association, vol. 86(5), pages 1291-98, December.
  37. Baillie, R. & Chung, C. & Tieslau, M., 1992. "The Long Memory and Variability of Inflation : A Reappraisal of the Friedman Hypothesis," Discussion Paper 1992-46, Tilburg University, Center for Economic Research.
  38. Perron, Pierre, 1989. "The Great Crash, the Oil Price Shock, and the Unit Root Hypothesis," Econometrica, Econometric Society, vol. 57(6), pages 1361-1401, November.
  39. Christopher F. Baum & John Barkoulas & Mustafa Caglayan, 1996. "Persistence in International Inflation Rates," Boston College Working Papers in Economics 333., Boston College Department of Economics.
  40. repec:cep:stiecm:/1997/332 is not listed on IDEAS
  41. Sowell, Fallaw, 1992. "Maximum likelihood estimation of stationary univariate fractionally integrated time series models," Journal of Econometrics, Elsevier, vol. 53(1-3), pages 165-188.
  42. Pivetta, Frederic & Reis, Ricardo, 2007. "The persistence of inflation in the United States," Journal of Economic Dynamics and Control, Elsevier, vol. 31(4), pages 1326-1358, April.
  43. Breidt, F. Jay & Crato, Nuno & de Lima, Pedro, 1998. "The detection and estimation of long memory in stochastic volatility," Journal of Econometrics, Elsevier, vol. 83(1-2), pages 325-348.
  44. Dickey, David A & Fuller, Wayne A, 1981. "Likelihood Ratio Statistics for Autoregressive Time Series with a Unit Root," Econometrica, Econometric Society, vol. 49(4), pages 1057-72, June.
  45. Andrew T. Levin & Jeremy M. Piger, 2003. "Is inflation persistence intrinsic in industrial economies?," Working Papers 2002-023, Federal Reserve Bank of St. Louis.
  46. Òscar Jordà, 2005. "Estimation and Inference of Impulse Responses by Local Projections," American Economic Review, American Economic Association, vol. 95(1), pages 161-182, March.
  47. Erhard Reschenhofer & Benedikt M. Pötscher & Michael A. Hauser, 1999. "Measuring persistence in aggregate output: ARMA models, fractionally integrated ARMA models and nonparametric procedures," Empirical Economics, Springer, vol. 24(2), pages 243-269.
  48. Timothy Cogley & Thomas J. Sargent, 2002. "Evolving Post-World War II U.S. Inflation Dynamics," NBER Chapters, in: NBER Macroeconomics Annual 2001, Volume 16, pages 331-388 National Bureau of Economic Research, Inc.
  49. Campbell, John Y & Mankiw, N Gregory, 1987. "Are Output Fluctuations Transitory?," The Quarterly Journal of Economics, MIT Press, vol. 102(4), pages 857-80, November.
  50. Robert B. Barsky, 1986. "The Fisher Hypothesis and the Forecastability and Persistence of Inflation," NBER Working Papers 1927, National Bureau of Economic Research, Inc.
  51. Franses, Philip Hans & Ooms, Marius, 1997. "A periodic long-memory model for quarterly UK inflation," International Journal of Forecasting, Elsevier, vol. 13(1), pages 117-126, March.
  52. Granger, C. W. J., 1980. "Long memory relationships and the aggregation of dynamic models," Journal of Econometrics, Elsevier, vol. 14(2), pages 227-238, October.
  53. Hassler, Uwe & Wolters, Jurgen, 1995. "Long Memory in Inflation Rates: International Evidence," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(1), pages 37-45, January.
  54. Lee, D. & Schmidt, P., 1993. "On the Power of the KPSS Test of Stationarity Against Fractionally-Integrated Alternatives," Papers 9111, Michigan State - Econometrics and Economic Theory.
  55. Thomas Mikosch & Catalin Starica, 2004. "Non-stationarities in financial time series, the long range dependence and the IGARCH effects," Econometrics 0412005, EconWPA.
  56. J. A. Kregel, 1980. "Introduction," Journal of Post Keynesian Economics, M.E. Sharpe, Inc., vol. 3(1), pages 19-20, October.
  57. Oscar Jorda, 2007. "Inference for Impulse Responses," Working Papers 77, University of California, Davis, Department of Economics.
  58. Juan J. Dolado & Jesus Gonzalo & Laura Mayoral, 2002. "A Fractional Dickey-Fuller Test for Unit Roots," Econometrica, Econometric Society, vol. 70(5), pages 1963-2006, September.
  59. Kim, Jae-Young, 2000. "Detection of change in persistence of a linear time series," Journal of Econometrics, Elsevier, vol. 95(1), pages 97-116, March.
  60. Sowell, Fallaw, 1992. "Modeling long-run behavior with the fractional ARIMA model," Journal of Monetary Economics, Elsevier, vol. 29(2), pages 277-302, April.
  61. Taylor, John B, 1979. "Staggered Wage Setting in a Macro Model," American Economic Review, American Economic Association, vol. 69(2), pages 108-13, May.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:upf:upfgen:958. 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: ()

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 references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.

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

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.