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Inflation and breaks: the validity of the Dickey-Fuller test

Author

Listed:
  • Manuel Gomez

    () (Department of Economics and Finance, Universidad de Guanajuato)

  • Daniel Ventosa-Santaularia

    () (Department of Economics and Finance, Universidad de Guanajuato)

Abstract

This article proves the asymptotic efficiency of the Dickey Fuller (DF) test when the Data Generating Process of the variable under consideration is in fact mean stationary with breaks. Monte Carlo simulations show that asymptotic properties remain valid for sample sizes of practical interest. We illustrate its performance by studying inflation rate series, a variable that should be stationary if the monetary authority follows an effective inflation targeting regime: shocks are short-lived, therefore, inflation fluctuates randomly around pre-specified targets.

Suggested Citation

  • Manuel Gomez & Daniel Ventosa-Santaularia, 2007. "Inflation and breaks: the validity of the Dickey-Fuller test," Department of Economics and Finance Working Papers EM200601, Universidad de Guanajuato, Department of Economics and Finance.
  • Handle: RePEc:gua:wpaper:em200601
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    References listed on IDEAS

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    1. Tae-Hwan Kim & Stephen Leybourne & Paul Newbold, 2004. "Behaviour of Dickey-Fuller Unit-Root Tests Under Trend Misspecification," Journal of Time Series Analysis, Wiley Blackwell, vol. 25(5), pages 755-764, September.
    2. Phillips, Peter C B & Xiao, Zhijie, 1998. " A Primer on Unit Root Testing," Journal of Economic Surveys, Wiley Blackwell, vol. 12(5), pages 423-469, December.
    3. Culver, Sarah E & Papell, David H, 1997. "Is There a Unit Root in the Inflation Rate? Evidence from Sequential Break and Panel Data Models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(4), pages 435-444, July-Aug..
    4. 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.
    5. Syed Basher & Joakim Westerlund, 2007. "Is there really a unit root in the inflation rate? More evidence from panel data models," Applied Economics Letters, Taylor & Francis Journals, vol. 15(3), pages 161-164.
    6. Giuseppe Cavaliere & A. M. Robert Taylor, 2006. "Testing for a Change in Persistence in the Presence of a Volatility Shift," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 68(s1), pages 761-781, December.
    7. Daniel Chiquiar & Antonio Noriega & Manuel Ramos-Francia, 2010. "A time-series approach to test a change in inflation persistence: the Mexican experience," Applied Economics, Taylor & Francis Journals, vol. 42(24), pages 3067-3075.
    8. 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.
    9. Andros Gregoriou & Alexandros Kontonikas, 2006. "Inflation Targeting And The Stationarity Of Inflation: New Results From An Estar Unit Root Test," Bulletin of Economic Research, Wiley Blackwell, vol. 58(4), pages 309-322, October.
    10. Antonio E. Noriega & Daniel Ventosa-Santaulària, 2006. "Spurious Regression Under Broken-Trend Stationarity," Journal of Time Series Analysis, Wiley Blackwell, vol. 27(5), pages 671-684, September.
    11. A. M. Robert Taylor, 2005. "Fluctuation Tests for a Change in Persistence," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 67(2), pages 207-230, April.
    12. Kim, Tae-Hwan & Lee, Young-Sook & Newbold, Paul, 2004. "Spurious regressions with stationary processes around linear trends," Economics Letters, Elsevier, vol. 83(2), pages 257-262, May.
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    Cited by:

    1. Daniel Ventosa-Santaulària & José Eduardo Vera-Valdés, 2008. "Granger-Causality in the presence of structural breaks," Economics Bulletin, AccessEcon, vol. 3(61), pages 1-14.

    More about this item

    Keywords

    Dickey-Fuller test; Mean Stationary Process; Structural Breaks;

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation

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