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Episodic Nonlinearity in Leading Global Currencies

  • Serletis, Apostolos

    (University of Calgary)

  • Malliaris, Anastasios

    (Loyola University of Chicago)

  • Hinich, Melvin

    (The University of Texas at Austin)

  • Gogas, Periklis

    ()

    (Democritus University of Thrace, Department of International Economic Relations and Development)

We perform non-linearity tests using daily data for leading currencies that include the Australian dollar, British pound, Brazilian real, Canadian dollar, euro, Japanese yen, Mexican peso, and the Swiss franc to resolve the issue of whether these currencies are driven by fundamentals or exogenous shocks to the global economy. In particular, we use a new method of testing for linear and nonlinear lead/lag relationships between time series, introduced by Brooks and Hinich (1999), based on the concepts of cross-correlation and cross-bicorrelation. Our evidence points to a relatively rare episodic nonlinearity within and across foreign exchange rates. We also test the validity of specifying ARCH-type error structures for foreign exchange rates. In doing so, we estimate Bollerslev’s (1986) general- ized ARCH (GARCH) model and Nelson’s (1988) exponential GARCH (EGARCH) model,using a variety of error densities [including the normal, the Student-t distribution, and the Generalized Error Distribution (GED)] and a comprehensive set of diagnostic checks. We apply the Brooks and Hinich (1999) nonlinearity test to the standardized residuals of the optimal GARCH/EGARCH model for each exchange rate series and show that the nonlinearity in the exchange rates is not due to ARCH-type e¤ects. This result has important implications for the interpretation of the recent voluminous literature which attempts to model fi nancial asset returns using this family of models.

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Paper provided by Democritus University of Thrace, Department of Economics in its series DUTH Research Papers in Economics with number 3-2010.

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Length: 27 pages
Date of creation: 07 Jun 2010
Date of revision:
Handle: RePEc:ris:duthrp:2010_003
Contact details of provider: Postal: Department of Economics, University Campus, Komotini, 69100, Greece
Phone: (25310) 39.503
Fax: (25310) 39.502
Web page: http://www.econ.duth.gr/

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  1. Philip Lane & Gian Maria Milesi-Ferretti, 2001. "THE EXTERNAL WEALTH OF NATIONS: Measures of Foreign Assets and Liabilities For Industrial and Developing Countries," CEG Working Papers 20012, Trinity College Dublin, Department of Economics.
  2. Richard Portes & Helene Rey, 1998. "The Emergence of the Euro as an International Currency," NBER Working Papers 6424, National Bureau of Economic Research, Inc.
  3. Michael B. Devereux & Alan Sutherland, 2007. "Financial Globalization and Monetary Policy," IMF Working Papers 07/279, International Monetary Fund.
  4. Engle, Robert F, 1982. "Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation," Econometrica, Econometric Society, vol. 50(4), pages 987-1007, July.
  5. Baillie, Richard T & Bollerslev, Tim, 2002. "The Message in Daily Exchange Rates: A Conditional-Variance Tale," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 60-68, January.
  6. Peter C.B. Phillips, 1985. "Time Series Regression with a Unit Root," Cowles Foundation Discussion Papers 740R, Cowles Foundation for Research in Economics, Yale University, revised Feb 1986.
  7. 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 1057-72, June.
  8. Hsieh, David A, 1989. "Modeling Heteroscedasticity in Daily Foreign-Exchange Rates," Journal of Business & Economic Statistics, American Statistical Association, vol. 7(3), pages 307-17, July.
  9. Bollerslev, Tim, 1987. "A Conditionally Heteroskedastic Time Series Model for Speculative Prices and Rates of Return," The Review of Economics and Statistics, MIT Press, vol. 69(3), pages 542-47, August.
  10. John Y. Campbell & Karine Serfaty-de Medeiros & Luis M. Viceira, 2007. "Global Currency Hedging," NBER Working Papers 13088, National Bureau of Economic Research, Inc.
  11. Tim Bollerslev, 1986. "Generalized autoregressive conditional heteroskedasticity," EERI Research Paper Series EERI RP 1986/01, Economics and Econometrics Research Institute (EERI), Brussels.
  12. Jarque, Carlos M. & Bera, Anil K., 1980. "Efficient tests for normality, homoscedasticity and serial independence of regression residuals," Economics Letters, Elsevier, vol. 6(3), pages 255-259.
  13. Brooks, Chris & Hinich, Melvin J., 1999. "Cross-correlations and cross-bicorrelations in Sterling exchange rates," Journal of Empirical Finance, Elsevier, vol. 6(4), pages 385-404, October.
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