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Testing the Random Walk Hypothesis for Real Exchange Rates

  • Choi, In
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This paper tests the random walk hypothesis for the log-differenced monthly US real exchange rates versus some major currencies. The tests we use are variance ratio test, Durlauf's (1991) spectral domain tests and Andrews and Ploberger's (1996) optimal tests. The variance ratio test is calculated by using Andrews' (1991) optimal data-dependent methods. Finite sample properties of these tests are also reported. Because the results of applying these tests to the real exchange rates are occasionally inconsistent, tests to synthesize these test results are proposed and applied to the real exchange rates. These tests have often been used in meta-analysis, but have not previously been used to synthesize different test results. Simulation results for these tests are also reported. For the real exchange rate data from the post-Bretton Woods period, these tests reject the null only for the Swiss franc. But when longer-horizon data are used, there is more evidence of serial correlations in the log-differenced real exchange rates.

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Article provided by John Wiley & Sons, Ltd. in its journal Journal of Applied Econometrics.

Volume (Year): 14 (1999)
Issue (Month): 3 (May-June)
Pages: 293-308

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Handle: RePEc:jae:japmet:v:14:y:1999:i:3:p:293-308
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  1. Newey, W.K. & West, K.D., 1992. "Automatic Lag Selection in Covariance Matrix Estimation," Working papers 9220, Wisconsin Madison - Social Systems.
  2. Hakkio, Craig, 1986. "Does the exchange rate follow a random walk? A Monte Carlo study of four tests for a random walk," Journal of International Money and Finance, Elsevier, vol. 5(2), pages 221-229, June.
  3. Andrews, Donald W K & Monahan, J Christopher, 1992. "An Improved Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimator," Econometrica, Econometric Society, vol. 60(4), pages 953-66, July.
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  5. Adda, Jerome & Gonzalo, Jesus, 1996. "P-Values for non-standard distributions with an application to the DF test," Economics Letters, Elsevier, vol. 50(2), pages 155-160, February.
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  7. Phillips, P.C.B., 1986. "Testing for a Unit Root in Time Series Regression," Cahiers de recherche 8633, Universite de Montreal, Departement de sciences economiques.
  8. Engel, C. & Kim, C.J., 1996. "The Long-Run U.S./U.K. real Exchange Rate," Discussion Papers in Economics at the University of Washington 96-14, Department of Economics at the University of Washington.
  9. Donald W.K. Andrews, 1988. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Cowles Foundation Discussion Papers 877R, Cowles Foundation for Research in Economics, Yale University, revised Jul 1989.
  10. Adler, Michael & Lehmann, Bruce, 1983. " Deviations from Purchasing Power Parity in the Long Run," Journal of Finance, American Finance Association, vol. 38(5), pages 1471-87, December.
  11. Michael R. Darby, 1983. "Movements in Purchasing Power Parity: The Short and Long Runs," NBER Chapters, in: The International Transmission of Inflation, pages 462-477 National Bureau of Economic Research, Inc.
  12. Andrew W. Lo & A. Craig MacKinlay, 1988. "The Size and Power of the Variance Ratio Test in Finite Samples: A Monte Carlo Investigation," NBER Technical Working Papers 0066, National Bureau of Economic Research, Inc.
  13. Durlauf, Steven N., 1991. "Spectral based testing of the martingale hypothesis," Journal of Econometrics, Elsevier, vol. 50(3), pages 355-376, December.
  14. Meese, Richard A & Rogoff, Kenneth, 1988. " Was It Real? The Exchange Rate-Interest Differential Relation over the Modern Floating-Rate Period," Journal of Finance, American Finance Association, vol. 43(4), pages 933-48, September.
  15. Faust, Jon, 1992. "When Are Variance Ratio Tests for Serial Dependence Optimal?," Econometrica, Econometric Society, vol. 60(5), pages 1215-26, September.
  16. Hansen, Bruce E, 1997. "Approximate Asymptotic P Values for Structural-Change Tests," Journal of Business & Economic Statistics, American Statistical Association, vol. 15(1), pages 60-67, January.
  17. Choi, In, 1994. "Residual-Based Tests for the Null of Stationarity with Applications to U.S. Macroeconomic Time Series," Econometric Theory, Cambridge University Press, vol. 10(3-4), pages 720-746, August.
  18. Cheung, Yin-Wong & Lai, Kon S., 1994. "Mean reversion in real exchange rates," Economics Letters, Elsevier, vol. 46(3), pages 251-256, November.
  19. Donald W.K. Andrews & Werner Ploberger, 1994. "Testing for Serial Correlation Against an ARMA(1,1) Process," Cowles Foundation Discussion Papers 1077, Cowles Foundation for Research in Economics, Yale University.
  20. MacKinnon, James G, 1996. "Numerical Distribution Functions for Unit Root and Cointegration Tests," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(6), pages 601-18, Nov.-Dec..
  21. Fong, Wai Mun & Ouliaris, Sam, 1995. "Spectral Tests of the Martingale Hypothesis for Exchange Rates," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 10(3), pages 255-71, July-Sept.
  22. Choi, In & Mark, Nelson C, 1997. "Frequency Domain Tests for Residual Serial Correlation in Cointegration Regressions," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 59(4), pages 549-62, November.
  23. Cochrane, John H, 1988. "How Big Is the Random Walk in GNP?," Journal of Political Economy, University of Chicago Press, vol. 96(5), pages 893-920, October.
  24. Matthew Richardson & James H. Stock, 1990. "Drawing Inferences From Statistics Based on Multi-Year Asset Returns," NBER Working Papers 3335, National Bureau of Economic Research, Inc.
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