Cointegrated Periodically Collapsing Bubbles in the Exchange Rate of 'BRICS' Countries
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.
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- John F. O. Bilson & Richard C. Marston, 1984. "Exchange Rate Theory and Practice," NBER Books, National Bureau of Economic Research, Inc, number bils84-1, June.
- 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 143-54, March-Apr.
- Olivier Jean Blanchard & Stanley Fischer, 1989. "Lectures on Macroeconomics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262022834, March.
- 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 745-70, August.
- Johansen, Soren, 1991. "Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models," Econometrica, Econometric Society, vol. 59(6), pages 1551-80, November.
- Simon van Norden, 1995.
"Regime Switching as a Test for Exchange Rate Bubbles,"
9502001, EconWPA, revised 09 Aug 1995.
- 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 219-51, May-June.
- Blanchard, Olivier Jean, 1979. "Speculative bubbles, crashes and rational expectations," Economics Letters, Elsevier, vol. 3(4), pages 387-389.
- Tirole, Jean, 1985. "Asset Bubbles and Overlapping Generations," Econometrica, Econometric Society, vol. 53(6), pages 1499-1528, November.
- Evans, George W, 1991. "Pitfalls in Testing for Explosive Bubbles in Asset Prices," American Economic Review, American Economic Association, vol. 81(4), pages 922-30, September.
- White, Halbert, 1982. "Maximum Likelihood Estimation of Misspecified Models," Econometrica, Econometric Society, vol. 50(1), pages 1-25, January.
- Diba, Behzad T & Grossman, Herschel I, 1988. "Explosive Rational Bubbles in Stock Prices?," American Economic Review, American Economic Association, vol. 78(3), pages 520-30, June.
- Dolado, Juan J & Jenkinson, Tim & Sosvilla-Rivero, Simon, 1990. " Cointegration and Unit Roots," Journal of Economic Surveys, Wiley Blackwell, vol. 4(3), pages 249-73.
- Graham Elliott & Thomas J. Rothenberg & James H. Stock, 1992.
"Efficient Tests for an Autoregressive Unit Root,"
NBER Technical Working Papers
0130, National Bureau of Economic Research, Inc.
- Hamilton, James D., 1996. "Specification testing in Markov-switching time-series models," Journal of Econometrics, Elsevier, vol. 70(1), pages 127-157, January.
- Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
- 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 505-10, August.
- Diba, Behzad T & Grossman, Herschel I, 1988. "The Theory of Rational Bubbles in Stock Prices," Economic Journal, Royal Economic Society, vol. 98(392), pages 746-54, September.
- 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.
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