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Purchasing power parity in Brazil: a test for fractional cointegration

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  • Denisard Alves
  • Regina Celia Cati
  • Vera Lucia Fava

Abstract

The purpose of this paper is to test the validity of the purchasing power parity (PPP) doctrine in Brazil. Historical data for the period 1855-1996 are considered. The period 1855-1990 is also analysed in order to compare the results with those obtained by Zini and Cati (1993) using the conventional cointegration analysis. This article uses fractional cointegration analysis, a flexible methodology which allows for more subtle forms of mean reversion. The tests performed are those of Geweke and Porter-Hudak (1983), and of Hurvich and Ray (1995). The critical values for both tests are generated by simulation because they are non-standard. The empirical results do not support the absolute PPP hypothesis but the relative PPP holds in the long run.

Suggested Citation

  • Denisard Alves & Regina Celia Cati & Vera Lucia Fava, 2001. "Purchasing power parity in Brazil: a test for fractional cointegration," Applied Economics, Taylor & Francis Journals, vol. 33(9), pages 1175-1185.
  • Handle: RePEc:taf:applec:v:33:y:2001:i:9:p:1175-1185
    DOI: 10.1080/00036840122819
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    1. 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.
    2. Lothian, James R., 1997. "Multi-country evidence on the behavior of purchasing power parity under the current float," Journal of International Money and Finance, Elsevier, vol. 16(1), pages 19-35, February.
    3. Dutton, Marilyn & Strauss, Jack, 1997. "Cointegration tests of purchasing power parity: the impact of non-traded goods," Journal of International Money and Finance, Elsevier, vol. 16(3), pages 433-444, June.
    4. Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 39(3), pages 106-135.
    5. Baillie, Richard T., 1996. "Long memory processes and fractional integration in econometrics," Journal of Econometrics, Elsevier, vol. 73(1), pages 5-59, July.
    6. De Gregorio, Jose & Giovannini, Alberto & Wolf, Holger C., 1994. "International evidence on tradables and nontradables inflation," European Economic Review, Elsevier, vol. 38(6), pages 1225-1244, June.
    7. Dickey, David A & Pantula, Sastry G, 1987. "Determining the Ordering of Differencing in Autoregressive Processes," Journal of Business & Economic Statistics, American Statistical Association, vol. 5(4), pages 455-461, October.
    8. Hassler, Uwe & Wolters, Jurgen, 1994. "On the power of unit root tests against fractional alternatives," Economics Letters, Elsevier, vol. 45(1), pages 1-5, May.
    9. Sowell, Fallaw, 1990. "The Fractional Unit Root Distribution," Econometrica, Econometric Society, vol. 58(2), pages 495-505, March.
    10. 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.
    11. 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.
    12. Frenkel, Jacob A., 1981. "The collapse of purchasing power parities during the 1970's," European Economic Review, Elsevier, vol. 16(1), pages 145-165.
    13. 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.
    14. 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 1057-1072, June.
    15. 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.
    16. Adler, Michael & Lehmann, Bruce, 1983. "Deviations from Purchasing Power Parity in the Long Run," Journal of Finance, American Finance Association, vol. 38(5), pages 1471-1487, December.
    17. Cheung, Yin-Wong & Lai, Kon S, 1993. "A Fractional Cointegration Analysis of Purchasing Power Parity," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(1), pages 103-112, January.
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    Cited by:

    1. Mark Holmes, 2008. "Real Exchange Rate Stationarity in Latin America and Relative Purchasing Power Parity: A Regime Switching Approach," Open Economies Review, Springer, vol. 19(2), pages 261-275, April.
    2. Simões, Oscar R. & Marçal, Emerson Fernandes, 2012. "Agregação temporal e não-linearidade afetam os testes da paridade do poder de compra: Evidência a partir de dados brasileiros," Revista Brasileira de Economia - RBE, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil), vol. 66(3), October.
    3. HOLMES, Mark J, 2008. "Non-Linear Trend Stationarity And Co-Trending In Latin American Real Exchange Rates," Applied Econometrics and International Development, Euro-American Association of Economic Development, vol. 8(1), pages 107-118.
    4. repec:prg:jnlpep:v:preprint:id:654:p:1-10 is not listed on IDEAS
    5. Mark J. Holmes, 2002. "Purchasing Power Parity and the Fractional Integration of the Real Exchange Rate: New Evidence for Less Developed Countries," Journal of Economic Development, Chung-Ang Unviersity, Department of Economics, vol. 27(1), pages 125-135, June.
    6. Burak Güriş & Muhammed Tiraşoğlu, 2018. "The Validity of Purchasing Power Parity in BRICS Countries," Prague Economic Papers, Prague University of Economics and Business, vol. 2018(4), pages 417-426.
    7. Canepa Alessandra, 2022. "Small Sample Adjustment for Hypotheses Testing on Cointegrating Vectors," Journal of Time Series Econometrics, De Gruyter, vol. 14(1), pages 51-85, January.
    8. repec:fgv:epgrbe:v:66:n:3:a:6 is not listed on IDEAS
    9. Guglielmo Maria Caporale & Luis A. Gil-Alana, 2010. "Real Exchange Rates In Latin America: The Ppp Hypothesis And Fractional Integration," Journal of Economic Development, Chung-Ang Unviersity, Department of Economics, vol. 35(2), pages 1-21, June.
    10. Marcos José Dal Bianco, 2008. "Argentinean real exchange rate 1900-2006, test purchasing power parity theory," Estudios de Economia, University of Chile, Department of Economics, vol. 35(1 Year 20), pages 33-64, June.
    11. Dimitrios Sideris, 2008. "Real Exchange Rates over a Century: The Case of the Drachma/Sterling Rate, 1833-1939," Working Papers 66, Bank of Greece.
    12. Andre Varella Mollick & Margot Quijano, 2004. "The Mexican Peso And The Korean Won Real Exchange Rates: Evidence From Productivity Models," Journal of Economic Development, Chung-Ang Unviersity, Department of Economics, vol. 29(1), pages 189-208, June.

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