IDEAS home Printed from https://ideas.repec.org/a/vrs/stintr/v19y2018i3p477-493n6.html
   My bibliography  Save this article

Another Look At The Stationarity Of Inflation Rates In Oecd Countries: Application Of Structural Break-Garch-Based Unit Root Tests

Author

Listed:
  • Yaya OlaOluwa S.

    (Economic and Financial Statistics Unit, Department of Statistics, University of Ibadan, Ibadan, ; Nigeria)

Abstract

The need to understand the stationarity property of inflation of any country is paramount in the design of monetary targeting policy. In this paper, unit root hypotheses of inflation rates in 21 OECD countries are investigated using the newly proposed GARCH-based unit root tests with structural break and trend specifications. The results show that classical tests over-accept unit roots in inflation rates, whereas these tests are not robust to heteroscedasticity. As it is observed from the pre-tests, those tests with structural break reject more null hypotheses of unit roots of most inflation series than those without structural breaks. By applying variants of GARCH-based unit root tests, which include those with structural breaks and time trend regression specifications, we find that unit root tests without time trend give most rejections of the conventional unit roots. Thus, care should be taken while applying variants of the new unit root tests on weak trending time series as indicated in this work. Batteries of unit root tests for discriminating between stationarity and nonstationarity of inflation rates are recommended, since in the case of over-differenced series, wrong policy decision will be made, particularly when inflation series is considered in a cointegrating relationship with other variables.

Suggested Citation

  • Yaya OlaOluwa S., 2018. "Another Look At The Stationarity Of Inflation Rates In Oecd Countries: Application Of Structural Break-Garch-Based Unit Root Tests," Statistics in Transition New Series, Polish Statistical Association, vol. 19(3), pages 477-493, September.
  • Handle: RePEc:vrs:stintr:v:19:y:2018:i:3:p:477-493:n:6
    DOI: 10.21307/stattrans-2018-026
    as

    Download full text from publisher

    File URL: https://doi.org/10.21307/stattrans-2018-026
    Download Restriction: no

    File URL: https://libkey.io/10.21307/stattrans-2018-026?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Narayan, Paresh Kumar & Liu, Ruipeng & Westerlund, Joakim, 2016. "A GARCH model for testing market efficiency," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 41(C), pages 121-138.
    2. Salisu, Afees A. & Fasanya, Ismail O., 2013. "Modelling oil price volatility with structural breaks," Energy Policy, Elsevier, vol. 52(C), pages 554-562.
    3. Romero-Ávila, Diego & Usabiaga, Carlos, 2009. "The hypothesis of a unit root in OECD inflation revisited," Journal of Economics and Business, Elsevier, vol. 61(2), pages 153-161.
    4. 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.
    5. Cook, Steven, 2008. "Joint maximum likelihood estimation of unit root testing equations and GARCH processes: Some finite-sample issues," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 77(1), pages 109-116.
    6. Kim, Kiwhan & Schmidt, Peter, 1993. "Unit root tests with conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 59(3), pages 287-300, October.
    7. Shiqing Ling & W. K. Li & Michael McAleer, 2003. "Estimation and Testing for Unit Root Processes with GARCH (1, 1) Errors: Theory and Monte Carlo Evidence," Econometric Reviews, Taylor & Francis Journals, vol. 22(2), pages 179-202.
    8. Chang, Tsangyao & Ranjbar, Omid & Tang, D.P., 2013. "Revisiting the mean reversion of inflation rates for 22 OECD countries," Economic Modelling, Elsevier, vol. 30(C), pages 245-252.
    9. Zivot, Eric & Andrews, Donald W K, 2002. "Further Evidence on the Great Crash, the Oil-Price Shock, and the Unit-Root Hypothesis," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 25-44, January.
    10. repec:oup:ecpoli:v:21:y:2006:i:46:p:311-352 is not listed on IDEAS
    11. Stephen G. Cecchetti & Guy Debelle, 2006. "Has the inflation process changed? [‘Did the underlying behaviour of inflation change in the 1980s? A study of 22 countries,’]," Economic Policy, CEPR, CESifo, Sciences Po;CES;MSH, vol. 21(46), pages 312-352.
    12. Su Zhou, 2013. "Nonlinearity and stationarity of inflation rates: evidence from the euro-zone countries," Applied Economics, Taylor & Francis Journals, vol. 45(7), pages 849-856, March.
    13. Robin L. Lumsdaine & David H. Papell, 1997. "Multiple Trend Breaks And The Unit-Root Hypothesis," The Review of Economics and Statistics, MIT Press, vol. 79(2), pages 212-218, May.
    14. 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.
    15. Elliott, Graham & Rothenberg, Thomas J & Stock, James H, 1996. "Efficient Tests for an Autoregressive Unit Root," Econometrica, Econometric Society, vol. 64(4), pages 813-836, July.
    16. Narayan, Paresh Kumar & Liu, Ruipeng, 2015. "A unit root model for trending time-series energy variables," Energy Economics, Elsevier, vol. 50(C), pages 391-402.
    17. Paresh Kumar Narayan & Stephan Popp, 2010. "A new unit root test with two structural breaks in level and slope at unknown time," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(9), pages 1425-1438.
    18. Luis A. Gil‐Alana & OlaOluwa S. Yaya & Enitan A. Solademi, 2016. "Testing unit roots, structural breaks and linearity in the inflation rates of the G7 countries with fractional dependence techniques," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 32(5), pages 711-724, September.
    19. Junsoo Lee & Mark C. Strazicich, 2003. "Minimum Lagrange Multiplier Unit Root Test with Two Structural Breaks," The Review of Economics and Statistics, MIT Press, vol. 85(4), pages 1082-1089, November.
    20. Luis Alberiko Gil-Alaña & Olanrewaju L. Shittu & OlaOluwa S. Yaya, 2011. "Long memory, strcutural breaks and mean shifts in the inflation rates in Nigeria," NCID Working Papers 04/2011, Navarra Center for International Development, University of Navarra.
    21. Afees A. Salisu & Umar B. Ndako & Tirimisiyu F. Oloko & Lateef O. Akanni, 2016. "Unit root modeling for trending stock market series," Borsa Istanbul Review, Research and Business Development Department, Borsa Istanbul, vol. 16(2), pages 82-91, June.
    22. Paresh Kumar Narayan & Seema Narayan, 2010. "Is there a unit root in the inflation rate? New evidence from panel data models with multiple structural breaks," Applied Economics, Taylor & Francis Journals, vol. 42(13), pages 1661-1670.
    23. Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April.
    24. Narayan, Paresh Kumar & Liu, Ruipeng, 2011. "Are shocks to commodity prices persistent?," Applied Energy, Elsevier, vol. 88(1), pages 409-416, January.
    25. 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.
    26. 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..
    27. Canarella, Giorgio & Miller, Stephen M., 2017. "Inflation targeting and inflation persistence: New evidence from fractional integration and cointegration," Journal of Economics and Business, Elsevier, vol. 92(C), pages 45-62.
    28. Gregoriou, Andros & Kontonikas, Alexandros, 2009. "Modeling the behaviour of inflation deviations from the target," Economic Modelling, Elsevier, vol. 26(1), pages 90-95, January.
    29. Mishra, Vinod & Smyth, Russell, 2014. "Is monthly US natural gas consumption stationary? New evidence from a GARCH unit root test with structural breaks," Energy Policy, Elsevier, vol. 69(C), pages 258-262.
    30. Salisu, Afees A. & Adeleke, Adegoke I., 2016. "Further application of Narayan and Liu (2015) unit root model for trending time series," Economic Modelling, Elsevier, vol. 55(C), pages 305-314.
    31. Antonio Noriega & Carlos Capistrán & Manuel Ramos-Francia, 2013. "On the dynamics of inflation persistence around the world," Empirical Economics, Springer, vol. 44(3), pages 1243-1265, June.
    32. Jushan Bai & Pierre Perron, 2003. "Computation and analysis of multiple structural change models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(1), pages 1-22.
    33. Narayan, Paresh Kumar & Popp, Stephan, 2011. "An application of a new seasonal unit root test to inflation," International Review of Economics & Finance, Elsevier, vol. 20(4), pages 707-716, October.
    34. Salisu, Afees A. & Mobolaji, Hakeem, 2013. "Modeling returns and volatility transmission between oil price and US–Nigeria exchange rate," Energy Economics, Elsevier, vol. 39(C), pages 169-176.
    35. Popp, Stephan, 2007. "Modified seasonal unit root test with seasonal level shifts at unknown time," Economics Letters, Elsevier, vol. 97(2), pages 111-117, November.
    36. Schmidt, Peter & Phillips, C B Peter, 1992. "LM Tests for a Unit Root in the Presence of Deterministic Trends," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 54(3), pages 257-287, August.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Yaya, OlaOluwa S & Ogbonna, Ahamuefula & Atoi, Ngozi V, 2019. "Are inflation rates in OECD countries actually stationary during 2011-2018? Evidence based on Fourier Nonlinear Unit root tests with Break," MPRA Paper 93937, University Library of Munich, Germany.

    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. Yaya, OlaOluwa S & Ogbonna, Ahamuefula & Atoi, Ngozi V, 2019. "Are inflation rates in OECD countries actually stationary during 2011-2018? Evidence based on Fourier Nonlinear Unit root tests with Break," MPRA Paper 93937, University Library of Munich, Germany.
    2. Chen, Shyh-Wei & Hsu, Chi-Sheng, 2016. "Threshold, smooth transition and mean reversion in inflation: New evidence from European countries," Economic Modelling, Elsevier, vol. 53(C), pages 23-36.
    3. Yaya, OlaOluwa S & Akinlana, Damola M & Ogbonna, Ahamuefula E, 2017. "Investigating Structural break-GARCH-based Unit root test in US exchange rates," MPRA Paper 88768, University Library of Munich, Germany.
    4. Shyh-Wei Chen & Chi-Sheng Hsu & Cyun-Jhen Pen, 2016. "Are Inflation Rates Mean-reverting Processes? Evidence from Six Asian Countries," Journal of Economics and Management, College of Business, Feng Chia University, Taiwan, vol. 12(1), pages 119-155, February.
    5. Salisu, Afees A. & Adeleke, Adegoke I., 2016. "Further application of Narayan and Liu (2015) unit root model for trending time series," Economic Modelling, Elsevier, vol. 55(C), pages 305-314.
    6. Iman Cheratian & Saleh Goltabar & Luis A. Gil-Alaña, 2023. "The unemployment hysteresis by territory, gender, and age groups in Iran," SN Business & Economics, Springer, vol. 3(2), pages 1-18, February.
    7. Georgios P. Kouretas & Mark E. Wohar, 2012. "The dynamics of inflation: a study of a large number of countries," Applied Economics, Taylor & Francis Journals, vol. 44(16), pages 2001-2026, June.
    8. Bernard Njindan Iyke, 2019. "A Test Of The Efficiency Of The Foreign Exchange Market In Indonesia," Bulletin of Monetary Economics and Banking, Bank Indonesia, vol. 0(12th BMEB), pages 1-26, January.
    9. John D. Levendis, 2018. "Time Series Econometrics," Springer Texts in Business and Economics, Springer, number 978-3-319-98282-3, August.
    10. Salisu, Afees A. & Swaray, Raymond & Oloko, Tirimisiyu F., 2019. "Improving the predictability of the oil–US stock nexus: The role of macroeconomic variables," Economic Modelling, Elsevier, vol. 76(C), pages 153-171.
    11. Adewuyi, Adeolu O. & Wahab, Bashir A. & Adeboye, Olusegun S., 2020. "Stationarity of prices of precious and industrial metals using recent unit root methods: Implications for markets’ efficiency," Resources Policy, Elsevier, vol. 65(C).
    12. Hooi Hooi Lean & Vinod Mishra & Russell Smyth, 2016. "Conditional convergence in US disaggregated petroleum consumption at the sector level," Applied Economics, Taylor & Francis Journals, vol. 48(32), pages 3049-3061, July.
    13. Afees A. Salisu & Tirimisyu F. Oloko, 2017. "Are daily agricultural grains prices stationary? New evidence from GARCH-based unit root tests," Working Papers 036, Centre for Econometric and Allied Research, University of Ibadan.
    14. David Greasley & Les Oxley, 2010. "Cliometrics And Time Series Econometrics: Some Theory And Applications," Journal of Economic Surveys, Wiley Blackwell, vol. 24(5), pages 970-1042, December.
    15. Tule, Moses K. & Salisu, Afees A. & Ebuh, Godday U., 2020. "A test for inflation persistence in Nigeria using fractional integration & fractional cointegration techniques," Economic Modelling, Elsevier, vol. 87(C), pages 225-237.
    16. Narayan, Paresh Kumar & Liu, Ruipeng & Westerlund, Joakim, 2016. "A GARCH model for testing market efficiency," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 41(C), pages 121-138.
    17. Hu, Haiqing & Wei, Wei & Chang, Chun-Ping, 2019. "Do shale gas and oil productions move in convergence? An investigation using unit root tests with structural breaks," Economic Modelling, Elsevier, vol. 77(C), pages 21-33.
    18. Mishra, Vinod & Smyth, Russell, 2014. "Is monthly US natural gas consumption stationary? New evidence from a GARCH unit root test with structural breaks," Energy Policy, Elsevier, vol. 69(C), pages 258-262.
    19. Afees A. Salisu & Ahamuefula E. Ogbonna & Idris Adediran, 2021. "Stock‐induced Google trends and the predictability of sectoral stock returns," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 40(2), pages 327-345, March.
    20. Salisu, Afees A. & Adediran, Idris A., 2019. "Assessing the inflation hedging potential of coal and iron ore in Australia," Resources Policy, Elsevier, vol. 63(C), pages 1-1.

    More about this item

    Keywords

    heteroscedasticity; inflation rate; structural breaks; unit root; OECD countries.;
    All these keywords.

    JEL classification:

    • C2 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables

    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:vrs:stintr:v:19:y:2018:i:3:p:477-493:n:6. See general information about how to correct material in RePEc.

    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: Peter Golla (email available below). General contact details of provider: https://www.sciendo.com .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.