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Exchange rate bubbles: Fundamental value estimation and rational expectations test

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  • Maldonado, Wilfredo L.
  • Tourinho, Octávio A.F.
  • Valli, Marcos

Abstract

We propose a model of periodically collapsing bubbles which extends the Van Norden (1996) model, and nests it, by considering a non-linear specification for the bubble size in the survival regime, and the endogenous determination of the level of the fundamental value of the stochastic process. They allow us to test for rationality in the formation of expectations, and remove the arbitrariness of exogenously setting the level of the fundamental value. This general model is applied to the exchange rate of the Brazilian real to the US dollar from March 1999 to February 2011. The futures market exchange rate is used as a proxy of its expected future value, and three different structural models are considered for the determination of the fundamental value. The first two imply that the exchange rate satisfies either purchasing power parity (PPP), or a modified version of it. The third structural model is a version of the monetary model of exchange rate determination, fitted to the period under consideration. We obtain the maximum likelihood estimate of the parameters of the models, explore the properties of the errors, test its restricted versions, and compare the three specifications for the fundamental. We find that the models we propose fit well the data, and are useful in the heuristic interpretation of the exchange rate movements of the period. Finally we select the structural models that display the best performance, according to several criteria.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:jimfin:v:31:y:2012:i:5:p:1033-1059
    DOI: 10.1016/j.jimonfin.2011.12.009
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    1. Funke, Michael & Hall, Stephen & Sola, Martin, 1994. "Rational bubbles during Poland's hyperinflation: Implications and empirical evidence," European Economic Review, Elsevier, vol. 38(6), pages 1257-1276, June.
    2. Kiefer, Nicholas M, 1978. "Discrete Parameter Variation: Efficient Estimation of a Switching Regression Model," Econometrica, Econometric Society, vol. 46(2), pages 427-434, March.
    3. Hodrick, Robert J & Prescott, Edward C, 1997. "Postwar U.S. Business Cycles: An Empirical Investigation," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 29(1), pages 1-16, February.
    4. Ball, Laurence, 2001. "Another look at long-run money demand," Journal of Monetary Economics, Elsevier, vol. 47(1), pages 31-44, February.
    5. Meese, Richard A, 1986. "Testing for Bubbles in Exchange Markets: A Case of Sparkling Rates?," Journal of Political Economy, University of Chicago Press, vol. 94(2), pages 345-373, April.
    6. Stock, James H & Watson, Mark W, 1993. "A Simple Estimator of Cointegrating Vectors in Higher Order Integrated Systems," Econometrica, Econometric Society, vol. 61(4), pages 783-820, July.
    7. Obstfeld, Maurice & Rogoff, Kenneth, 1983. "Speculative Hyperinflations in Maximizing Models: Can We Rule Them Out?," Journal of Political Economy, University of Chicago Press, vol. 91(4), pages 675-687, August.
    8. 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.
    9. 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.
    10. Hamilton, James D., 1996. "Specification testing in Markov-switching time-series models," Journal of Econometrics, Elsevier, vol. 70(1), pages 127-157, January.
    11. White, Halbert, 1982. "Maximum Likelihood Estimation of Misspecified Models," Econometrica, Econometric Society, vol. 50(1), pages 1-25, January.
    12. Tirole, Jean, 1982. "On the Possibility of Speculation under Rational Expectations," Econometrica, Econometric Society, vol. 50(5), pages 1163-1181, September.
    13. Maurice J. Roche, 2001. "Fads versus Fundamentals in Farmland Prices: Comment," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 83(4), pages 1074-1077.
    14. 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.
    15. Kenneth D. West, 1987. "A Specification Test for Speculative Bubbles," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 102(3), pages 553-580.
    16. Perron, Pierre, 1997. "Further evidence on breaking trend functions in macroeconomic variables," Journal of Econometrics, Elsevier, vol. 80(2), pages 355-385, October.
    17. Olivier J. Blanchard & Mark W. Watson, 1982. "Bubbles, Rational Expectations and Financial Markets," NBER Working Papers 0945, National Bureau of Economic Research, Inc.
    18. Chris Brooks & Apostolos Katsaris, 2005. "A Three-Regime Model of Speculative Behaviour: Modelling the Evolution of the S&P 500 Composite Index," Economic Journal, Royal Economic Society, vol. 115(505), pages 767-797, July.
    19. 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.
    20. Blanchard, Olivier Jean, 1979. "Speculative bubbles, crashes and rational expectations," Economics Letters, Elsevier, vol. 3(4), pages 387-389.
    21. 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.
    22. Goldfeld, Stephen M. & Quandt, Richard E., 1973. "A Markov model for switching regressions," Journal of Econometrics, Elsevier, vol. 1(1), pages 3-15, March.
    23. 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.
    24. Tirole, Jean, 1985. "Asset Bubbles and Overlapping Generations," Econometrica, Econometric Society, vol. 53(6), pages 1499-1528, November.
    25. Charemza, Wojciech W. & Deadman, Derek F., 1995. "Speculative bubbles with stochastic explosive roots: The failure of unit root testing," Journal of Empirical Finance, Elsevier, vol. 2(2), pages 153-163, June.
    26. Olivier Jean Blanchard & Stanley Fischer, 1989. "Lectures on Macroeconomics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262022834, April.
    27. Evans, George W, 1986. "A Test for Speculative Bubbles in the Sterling-Dollar Exchange Rate: 1981-84," American Economic Review, American Economic Association, vol. 76(4), pages 621-636, September.
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    Cited by:

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    3. Liu, Tie-Ying & Lin, Ye, 2024. "Who has mastered exchange rate ups and downs: China or the United States?," The North American Journal of Economics and Finance, Elsevier, vol. 70(C).
    4. Jose E. Gomez-Gonzalez & Jair N. Ojeda-Joya & Juan P. Franco & Jhon E. Torres, 2017. "Asset Price Bubbles: Existence, Persistence and Migration," South African Journal of Economics, Economic Society of South Africa, vol. 85(1), pages 52-67, March.
    5. Atilgan, Yigit & Demirtas, K. Ozgur & Simsek, Koray D., 2016. "Derivative markets in emerging economies: A survey," International Review of Economics & Finance, Elsevier, vol. 42(C), pages 88-102.
    6. Vipin Arora & Shuping Shi, 2013. "A Heterogenous Agent Foundation for Tests of Asset Price Bubbles," CAMA Working Papers 2013-35, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
    7. Yang Hu & Les Oxley, 2016. "Are there Bubbles in Exchange Rates? Some New Evidence from G10 and Emerging Markets Countries," Working Papers in Economics 16/05, University of Waikato.
    8. Hu, Yang & Oxley, Les, 2017. "Are there bubbles in exchange rates? Some new evidence from G10 and emerging market economies," Economic Modelling, Elsevier, vol. 64(C), pages 419-442.
    9. 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.

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    More about this item

    Keywords

    Exchange rate bubbles; Regime-switching regression;

    JEL classification:

    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes

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