IDEAS home Printed from https://ideas.repec.org/a/fgv/epgrbe/v65y2011i3a3373.html
   My bibliography  Save this article

An Analysis of the Degrees of Persistence of Inflation, Inflation Expectations and Real Interest Rate in Brazil

Author

Listed:
  • da Silva, Cleomar Gomes
  • Leme, Maria Carolina da Silva

Abstract

This paper makes use of Auto-Regressive Fractionally Integrated (ARFIMA) models, as well as unit root tests with structural breaks, to examine the IPCA (the official inflation rate), inflation expectations, and the real interest rate in Brazil. For the period ranging from July 1999 to December 2010 the results show that the Brazilian inflation can be taken as stationary and mean-reverting, with some degree of persistence. As for inflation expectations, the non-stationarity detected in the fractional integration model is due to structural breaks, meaning that they can also be taken as stationary with mean-reversion. Finally, the Selic interest rate shows some sign of non-stationarity, which had already been found in the unit root tests. However, it cannot be characterized by a unit root of a pure form, but as a fractionally integrated process with some long memory.

Suggested Citation

  • da Silva, Cleomar Gomes & Leme, Maria Carolina da Silva, 2011. "An Analysis of the Degrees of Persistence of Inflation, Inflation Expectations and Real Interest Rate in Brazil," Revista Brasileira de Economia - RBE, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil), vol. 65(3), September.
  • Handle: RePEc:fgv:epgrbe:v:65:y:2011:i:3:a:3373
    as

    Download full text from publisher

    File URL: https://periodicos.fgv.br/rbe/article/view/3373
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. Granger, Clive W. J. & Hyung, Namwon, 2004. "Occasional structural breaks and long memory with an application to the S&P 500 absolute stock returns," Journal of Empirical Finance, Elsevier, vol. 11(3), pages 399-421, June.
    3. Bertrand Candelon & Luis A. Gil‐Alana, 2006. "Mean Reversion of Short‐run Interest Rates in Emerging Countries," Review of International Economics, Wiley Blackwell, vol. 14(1), pages 119-135, February.
    4. 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.
    5. Gil-Alana, Luis A., 2002. "A mean shift break in the US interest rate," Economics Letters, Elsevier, vol. 77(3), pages 357-363, November.
    6. Gil-Alana, Luis A., 2004. "Long memory in the U.S. interest rate," International Review of Financial Analysis, Elsevier, vol. 13(3), pages 265-276.
    7. Tsay, Wen-Jen, 2000. "Long memory story of the real interest rate," Economics Letters, Elsevier, vol. 67(3), pages 325-330, June.
    8. Junsoo Lee & Mark C. Strazicich, 2001. "Break Point Estimation and Spurious Rejections With Endogenous Unit Root Tests," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 63(5), pages 535-558, December.
    9. Cati, Regina Celia & Garcia, Marcio G P & Perron, Pierre, 1999. "Unit Roots in the Presence of Abrupt Governmental Interventions with an Application to Brazilian Data," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 14(1), pages 27-56, Jan.-Feb..
    10. Lai, Kon S, 1997. "Long-Term Persistence in the Real Interest Rate: Some Evidence of a Fractional Unit Root," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 2(3), pages 225-235, July.
    11. Perron, Pierre, 1997. "Further evidence on breaking trend functions in macroeconomic variables," Journal of Econometrics, Elsevier, vol. 80(2), pages 355-385, October.
    12. Karanasos, M. & Sekioua, S.H. & Zeng, N., 2006. "On the order of integration of monthly US ex-ante and ex-post real interest rates: New evidence from over a century of data," Economics Letters, Elsevier, vol. 90(2), pages 163-169, February.
    13. Luis A. Gil-Alana, 2005. "Testing and forecasting the degree of integration in the US inflation rate," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 24(3), pages 173-187.
    14. Diebold, Francis X. & Rudebusch, Glenn D., 1991. "On the power of Dickey-Fuller tests against fractional alternatives," Economics Letters, Elsevier, vol. 35(2), pages 155-160, February.
    15. Lee, Junsoo & Strazicich, Mark C, 2001. "Break Point Estimation and Spurious Rejections with Endogenous Unit Root Tests," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 63(5), pages 535-558, December.
    16. Emma Iglesias & Garry Phillips, 2005. "Analysing one-month Euro-market interest rates by fractionally integrated models," Applied Financial Economics, Taylor & Francis Journals, vol. 15(2), pages 95-106.
    17. L. Randall Wray & Matthew Forstater (ed.), 2008. "Keynes and Macroeconomics After 70 Years," Books, Edward Elgar Publishing, number 12915.
    18. Gawon Yoon, 2003. "The time series behaviour of Brazilian inflation rate: new evidence from unit root tests with good size and power," Applied Economics Letters, Taylor & Francis Journals, vol. 10(10), pages 627-631.
    19. 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.
    20. Doornik Jurgen A & Ooms Marius, 2004. "Inference and Forecasting for ARFIMA Models With an Application to US and UK Inflation," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 8(2), pages 1-25, May.
    21. 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.
    22. Luiz Carlos Bresser-Pereira & Cleomar Gomes da Silva, 2008. "Inflation Targeting in Brazil: A Keynesian Approach," Chapters, in: L. Randall Wray & Matthew Forstater (ed.), Keynes and Macroeconomics After 70 Years, chapter 11, Edward Elgar Publishing.
    23. Baillie, Richard T & Chung, Ching-Fan & Tieslau, Margie A, 1996. "Analysing Inflation by the Fractionally Integrated ARFIMA-GARCH Model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(1), pages 23-40, Jan.-Feb..
    24. Luis Gil-Alana, 2003. "Long memory in the interest rates in some Asian countries," International Advances in Economic Research, Springer;International Atlantic Economic Society, vol. 9(4), pages 257-267, November.
    25. Campêlo, Ana Katarina & Cribari-Neto, Francisco, 2003. "Inflation Inertia and Inliers: The Case of Brazil," Revista Brasileira de Economia - RBE, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil), vol. 57(4), October.
    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. repec:fgv:epgrbe:v:65:n:3:a:4 is not listed on IDEAS
    2. Cleomar Gomes da Silva & Flávio Vilela Vieira, 2014. "BRICS countries: real interest rates and long memory," Economics Bulletin, AccessEcon, vol. 34(1), pages 409-419.
    3. Banerjee, Anindya & Urga, Giovanni, 2005. "Modelling structural breaks, long memory and stock market volatility: an overview," Journal of Econometrics, Elsevier, vol. 129(1-2), pages 1-34.
    4. Olivier Darné & Jean‐François Hoarau, 2007. "Further Evidence On Mean Reversion In The Australian Exchange Rate," Bulletin of Economic Research, Wiley Blackwell, vol. 59(4), pages 383-395, October.
    5. Olivier Darné & Claude Diebolt, 2006. "Chocs temporaires et permanents dans le PIB de la France, du Royaume-Uni et des États-Unis," Revue d'économie politique, Dalloz, vol. 116(1), pages 65-78.
    6. Chowdhury, Khorshed, 2012. "Modelling the dynamics, structural breaks and the determinants of the real exchange rate of Australia," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 22(2), pages 343-358.
    7. Cheng-Feng Lee & Ching-Chuan Tsong, 2012. "A revisit on real interest rate parity hypothesis -- simulation evidence from efficient unit root tests," Applied Economics, Taylor & Francis Journals, vol. 44(24), pages 3089-3099, August.
    8. Selçuk BAYRACI, 2017. "Long-memory, self-similarity and scaling of the long-term government bond yields: Evidence from Turkey and the USA," Theoretical and Applied Economics, Asociatia Generala a Economistilor din Romania - AGER, vol. 0(3(612), A), pages 71-82, Autumn.
    9. Gil-Alana, Luis A. & Cunado, Juncal & Gupta, Rangan, 2017. "Evidence of persistence in U.S. short and long-term interest rates," Journal of Policy Modeling, Elsevier, vol. 39(5), pages 775-789.
    10. Cleomar Gomes da Silva & Maria Carolina da Silva Leme, 2008. "Inflation and Interest Rate: Which one is more persistent in Brazil?," Anais do XXXVI Encontro Nacional de Economia [Proceedings of the 36th Brazilian Economics Meeting] 200807181224190, ANPEC - Associação Nacional dos Centros de Pós-Graduação em Economia [Brazilian Association of Graduate Programs in Economics].
    11. Giorgio Canarella & Luis A. Gil‐Alana & Rangan Gupta & Stephen M. Miller, 2022. "The behaviour of real interest rates: New evidence from a 'suprasecular' perspective," International Finance, Wiley Blackwell, vol. 25(1), pages 46-64, April.
    12. Mohitosh Kejriwal & Claude Lopez, 2013. "Unit Roots, Level Shifts, and Trend Breaks in Per Capita Output: A Robust Evaluation," Econometric Reviews, Taylor & Francis Journals, vol. 32(8), pages 892-927, November.
    13. Mei-Se Chien, 2010. "Structural Breaks and the Convergence of Regional House Prices," The Journal of Real Estate Finance and Economics, Springer, vol. 40(1), pages 77-88, January.
    14. Guglielmo Caporale & Luis Gil-Alana, 2016. "Persistence and cyclical dependence in the monthly euribor rate," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 40(1), pages 157-171, January.
    15. 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.
    16. Caporale, Guglielmo Maria & Carcel, Hector & Gil-Alana, Luis, 2017. "Central bank policy rates: Are they cointegrated?," International Economics, Elsevier, vol. 152(C), pages 116-123.
    17. María Dolores Gadea & Laura Mayoral, 2006. "The Persistence of Inflation in OECD Countries: A Fractionally Integrated Approach," International Journal of Central Banking, International Journal of Central Banking, vol. 2(1), March.
    18. Javier Hualde & Morten {O}rregaard Nielsen, 2022. "Fractional integration and cointegration," Papers 2211.10235, arXiv.org.
    19. Olivier Darné & Amélie Charles, 2011. "Large shocks in U.S. macroeconomic time series: 1860-1988," Cliometrica, Journal of Historical Economics and Econometric History, Association Française de Cliométrie (AFC), vol. 5(1), pages 79-100, January.
    20. García-Cintado, Alejandro & Romero-Ávila, Diego & Usabiaga, Carlos, 2015. "Can the hysteresis hypothesis in Spanish regional unemployment be beaten? New evidence from unit root tests with breaks," Economic Modelling, Elsevier, vol. 47(C), pages 244-252.
    21. Qingfeng “Wilson” Liu & Hui Sono & Wei Zhang, 2021. "The Price Discovery Processes in China, India, and Russia’s Stock Index Futures Markets," Review of Pacific Basin Financial Markets and Policies (RPBFMP), World Scientific Publishing Co. Pte. Ltd., vol. 24(03), pages 1-28, September.

    More about this item

    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:fgv:epgrbe:v:65:y:2011:i:3:a:3373. 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: Núcleo de Computação da FGV EPGE (email available below). General contact details of provider: https://edirc.repec.org/data/epgvfbr.html .

    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.