IDEAS home Printed from https://ideas.repec.org/p/een/camaaa/2014-34.html
   My bibliography  Save this paper

Cointegrated Periodically Collapsing Bubbles in the Exchange Rate of 'BRICS' Countries

Author

Listed:
  • Wilfredo L. Maldonado
  • Octávio A. F. Tourinho
  • Jorge A. B. M. de Abreu

Abstract

This paper tests the occurrence of rational bubbles in the exchange rate of Brazil, Russia, India, China and South Africa (the ‘BRICS’ countries group) against the US dollar. We consider bubbles of the periodically recurring variety, and assume that the fundamental value follows a modified PPP relation which takes into account interest rate differentials, starting from a reference value which is endogenously determined. At each point in time the probability of collapse of the bubble to is a nonlinear logistic function of the absolute size of the bubble and is, therefore, also endogenous. The expected next period bubble size if the future regime is collapse is a linear function of the current bubble size whose parameters are also endogenously estimated. The estimation uses a maximum likelihood procedure, and the results support the model, which passes the specification tests. The hypothesis of rational expectations in the market for the forward exchange rate, which is used as a proxy of the expected exchange rate, is also tested and accepted for 3 of the 5 countries. The hypothesis of two linear regimes (rather than the non-linear regimes we use) is also tested and rejected for 3 of the 5 countries. We discuss the dynamics of the absolute bubble, and also compare the time series of the bubbles for the several countries, relative to the corresponding fundamental value. We test for unit roots in the relative bubbles and find that they are integrated, and that they pass Johansen’s the cointegration test. Finally we estimate an error correction model to discuss the long term relation between the relative bubbles and the speed of adjustment of each country’s relative bubble to shocks to the long term relation between them.

Suggested Citation

  • Wilfredo L. Maldonado & Octávio A. F. Tourinho & Jorge A. B. M. de Abreu, 2014. "Cointegrated Periodically Collapsing Bubbles in the Exchange Rate of 'BRICS' Countries," CAMA Working Papers 2014-34, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
  • Handle: RePEc:een:camaaa:2014-34
    as

    Download full text from publisher

    File URL: https://cama.crawford.anu.edu.au/sites/default/files/publication/cama_crawford_anu_edu_au/2014-04/34_2014_maldonado_tourinho_abreu.pdf
    Download Restriction: no

    References listed on IDEAS

    as
    1. Diba, Behzad T & Grossman, Herschel I, 1988. "Explosive Rational Bubbles in Stock Prices?," American Economic Review, American Economic Association, vol. 78(3), pages 520-530, June.
    2. Cui , Yuming, 2013. "How Is the RMB Exchange Rate Misaligned? A Recent Application of Behavioral Equilibrium Exchange Rate (BEER) to China," East Asian Economic Review, Korea Institute for International Economic Policy, vol. 17(3), pages 281-310, September.
    3. Perron, Pierre & Rodriguez, Gabriel, 2003. "GLS detrending, efficient unit root tests and structural change," Journal of Econometrics, Elsevier, vol. 115(1), pages 1-27, July.
    4. Blanchard, Olivier Jean, 1979. "Speculative bubbles, crashes and rational expectations," Economics Letters, Elsevier, vol. 3(4), pages 387-389.
    5. Dolado, Juan J & Jenkinson, Tim & Sosvilla-Rivero, Simon, 1990. " Cointegration and Unit Roots," Journal of Economic Surveys, Wiley Blackwell, vol. 4(3), pages 249-273.
    6. Evans, George W, 1991. "Pitfalls in Testing for Explosive Bubbles in Asset Prices," American Economic Review, American Economic Association, vol. 81(4), pages 922-930, September.
    7. van Norden, Simon, 1996. "Regime Switching as a Test for Exchange Rate Bubbles," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(3), pages 219-251, May-June.
    8. Hamilton, James D., 1996. "Specification testing in Markov-switching time-series models," Journal of Econometrics, Elsevier, vol. 70(1), pages 127-157, January.
    9. White, Halbert, 1982. "Maximum Likelihood Estimation of Misspecified Models," Econometrica, Econometric Society, vol. 50(1), pages 1-25, January.
    10. Hall, Stephen G & Psaradakis, Zacharias & Sola, Martin, 1999. "Detecting Periodically Collapsing Bubbles: A Markov-Switching Unit Root Test," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 14(2), pages 143-154, March-Apr.
    11. John F. O. Bilson & Richard C. Marston, 1984. "Exchange Rate Theory and Practice," NBER Books, National Bureau of Economic Research, Inc, number bils84-1.
    12. van Norden, Simon & Schaller, Huntley, 1993. "The Predictability of Stock Market Regime: Evidence from the Toronto Stock Exchange," The Review of Economics and Statistics, MIT Press, vol. 75(3), pages 505-510, August.
    13. Tirole, Jean, 1985. "Asset Bubbles and Overlapping Generations," Econometrica, Econometric Society, vol. 53(6), pages 1499-1528, November.
    14. Olivier Jean Blanchard & Stanley Fischer, 1989. "Lectures on Macroeconomics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262022834, January.
    15. Diba, Behzad T & Grossman, Herschel I, 1988. "The Theory of Rational Bubbles in Stock Prices," Economic Journal, Royal Economic Society, vol. 98(392), pages 746-754, September.
    16. Flood, Robert P & Garber, Peter M, 1980. "Market Fundamentals versus Price-Level Bubbles: The First Tests," Journal of Political Economy, University of Chicago Press, vol. 88(4), pages 745-770, August.
    17. Johansen, Soren, 1991. "Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models," Econometrica, Econometric Society, vol. 59(6), pages 1551-1580, November.
    18. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
    19. Maldonado, Wilfredo L. & Tourinho, Octávio A.F. & Valli, Marcos, 2012. "Exchange rate bubbles: Fundamental value estimation and rational expectations test," Journal of International Money and Finance, Elsevier, vol. 31(5), pages 1033-1059.
    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. Jose Eduardo Gomez-Gonzalez & Sebastian Sanin-Restrepo, 2017. "The Maple Bubble: A History of Migration among Canadian Provinces," Borradores de Economia 992, Banco de la Republica de Colombia.

    More about this item

    Keywords

    Exchange rate bubbles; Cointegration test; Error correction models; BRICS;

    JEL classification:

    • C30 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - General
    • F31 - International Economics - - International Finance - - - Foreign Exchange

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:een:camaaa:2014-34. 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: (Cama Admin). General contact details of provider: http://edirc.repec.org/data/asanuau.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.