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Cointegration and Forward and Spot Exchange Rate Regressions

  • Eric Zivot

    (University of Washington)

In this paper we investigate in detail the relationship between models of cointegration between the current spot exchange rate, st, and the current forward rate, ft, and models of cointegration between the future spot rate, st+1, and ft and the implications of this relationship for tests of the forward rate unbiasedness hypothesis (FRUH). We argue that simple models of cointegration between st and ft more easily capture the stylized facts of typical exchange rate data than simple models of cointegration between st+1 and ft and so serve as a natural starting point for the analysis of exchange rate behavior. We show that simple models of cointegration between st and ft imply rather complicated models of cointegration between st+1 and ft. As a result, standard methods are often not appropriate for modeling the cointegrated behavior of (st+1, ft)' and we show that the use of such methods can lead to erroneous inferences regarding the FRUH.

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File URL: http://econwpa.repec.org/eps/em/papers/9812/9812001.pdf
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Paper provided by EconWPA in its series Econometrics with number 9812001.

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Length: 36 pages
Date of creation: 22 Dec 1998
Date of revision:
Handle: RePEc:wpa:wuwpem:9812001
Note: Type of Document - Adobe Acrobat; prepared on IBM PC ; to print on N/A; pages: 36; figures: included
Contact details of provider: Web page: http://econwpa.repec.org

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  4. Martin D. Evans & Karen K. Lewis, 1992. "Trends in Excess Returns in Currency and Bond Markets," Working Papers 92-32, New York University, Leonard N. Stern School of Business, Department of Economics.
  5. Francis X. Diebold & Javier Gardeazabal & Kamil Yilmaz, 1993. "On cointegration and exchange rate dynamics," Working Papers 93-2, Federal Reserve Bank of Philadelphia.
  6. Johansen, Soren, 1992. "Cointegration in partial systems and the efficiency of single-equation analysis," Journal of Econometrics, Elsevier, vol. 52(3), pages 389-402, June.
  7. Phillips, P C B, 1991. "Optimal Inference in Cointegrated Systems," Econometrica, Econometric Society, vol. 59(2), pages 283-306, March.
  8. Froot, Kenneth A. & Frankel, Jeffrey A., 1988. "Forward Discount Bias: Is It an Exchange Risk Premium?," Department of Economics, Working Paper Series qt5w65g4zg, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
  9. Naka, Atsuyuki & Whitney, Gerald, 1995. "The unbiased forward rate hypothesis re-examined," Journal of International Money and Finance, Elsevier, vol. 14(6), pages 857-867, December.
  10. Richard H. Clarida & Mark P. Taylor, 1997. "The Term Structure Of Forward Exchange Premiums And The Forecastability Of Spot Exchange Rates: Correcting The Errors," The Review of Economics and Statistics, MIT Press, vol. 79(3), pages 353-361, August.
  11. Hai, Weike & Mark, Nelson C & Wu, Yangru, 1997. "Understanding Spot and Forward Exchange Rate Regressions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(6), pages 715-34, Nov.-Dec..
  12. C. Ennew, & N. Kellard, & P. Newbold, A. J. Rayner & M. E. Wohar,, . "Two Puzzles in the Analysis of Foreign Exchange Market Efficiency," Discussion Papers 96/18, University of Nottingham, School of Economics.
  13. Charles Engel, 1995. "The Forward Discount Anomaly and the Risk Premium: A Survey of Recent Evidence," NBER Working Papers 5312, National Bureau of Economic Research, Inc.
  14. John F. O. Bilson, 1980. "The "Speculative Efficiency" Hypothesis," NBER Working Papers 0474, National Bureau of Economic Research, Inc.
  15. John Y. Campbell & Pierre Perron, 1991. "Pitfalls and Opportunities: What Macroeconomists Should Know About Unit Roots," NBER Chapters, in: NBER Macroeconomics Annual 1991, Volume 6, pages 141-220 National Bureau of Economic Research, Inc.
  16. John Barkoulas & Christopher Baum, 1997. "A re-examination of the fragility of evidence from cointegration-based tests of foreign exchange market efficiency," Applied Financial Economics, Taylor & Francis Journals, vol. 7(6), pages 635-643.
  17. Baillie, R.T., 1988. "Econometric Tests Of Rationality And Market Efficiency," Papers 8805, Michigan State - Econometrics and Economic Theory.
  18. Fama, Eugene F., 1984. "Forward and spot exchange rates," Journal of Monetary Economics, Elsevier, vol. 14(3), pages 319-338, November.
  19. Norrbin, Stefan C. & Reffett, Kevin L., 1996. "Exogeneity and forward rate unbiasedness," Journal of International Money and Finance, Elsevier, vol. 15(2), pages 267-274, April.
  20. Crowder, William J, 1994. "Foreign exchange market efficiency and common stochastic trends," Journal of International Money and Finance, Elsevier, vol. 13(5), pages 551-564, October.
  21. Baillie, Richard T & Bollerslev, Tim, 1989. " Common Stochastic Trends in a System of Exchange Rates," Journal of Finance, American Finance Association, vol. 44(1), pages 167-81, March.
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