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Cointegration and Forward and Spot Exchange Rate Regressions

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  • Eric Zivot

    (University of Washington)

Abstract

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.

Suggested Citation

  • Eric Zivot, 1998. "Cointegration and Forward and Spot Exchange Rate Regressions," Econometrics 9812001, University Library of Munich, Germany.
    • Handle: RePEc:wpa:wuwpem:9812001
    Note: Type of Document - Adobe Acrobat; prepared on IBM PC ; to print on N/A; pages: 36; figures: included
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    1. Park, Joon Y, 1992. "Canonical Cointegrating Regressions," Econometrica, Econometric Society, vol. 60(1), pages 119-143, January.
    2. repec:cup:etheor:v:11:y:1995:i:5:p:984-1014 is not listed on IDEAS
    3. 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.
    4. Isard,Peter, 1995. "Exchange Rate Economics," Cambridge Books, Cambridge University Press, number 9780521466004, January.
    5. repec:bla:jfinan:v:44:y:1989:i:1:p:167-81 is not listed on IDEAS
    6. Barnhart, Scott W. & Szakmary, Andrew C., 1991. "Testing the Unbiased Forward Rate Hypothesis: Evidence on Unit Roots, Co-Integration, and Stochastic Coefficients," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 26(2), pages 245-267, June.
    7. Kenneth A. Froot & Jeffrey A. Frankel, 1989. "Forward Discount Bias: Is it an Exchange Risk Premium?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 104(1), pages 139-161.
    8. Kremers, Jeroen J M & Ericsson, Neil R & Dolado, Juan J, 1992. "The Power of Cointegration Tests," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 54(3), pages 325-348, August.
    9. 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 715-734, Nov.-Dec..
    10. Kwiatkowski, Denis & Phillips, Peter C. B. & Schmidt, Peter & Shin, Yongcheol, 1992. "Testing the null hypothesis of stationarity against the alternative of a unit root : How sure are we that economic time series have a unit root?," Journal of Econometrics, Elsevier, vol. 54(1-3), pages 159-178.
    11. Marie-Josée Godbout & Simon van Norden, 1996. "Unit-Root Test and Excess Returns," Staff Working Papers 96-10, Bank of Canada.
    12. Newbold, Paul & Wohar, Mark E. & Rayner, Tony & Kellard, Neil & Ennew, Christine, 1998. "Two puzzles in the analysis of foreign exchange market efficiency," International Review of Financial Analysis, Elsevier, vol. 7(2), pages 95-111.
    13. 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.
    14. 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.
    15. 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.
    16. Cornell, Bradford, 1977. "Spot rates, forward rates and exchange market efficiency," Journal of Financial Economics, Elsevier, vol. 5(1), pages 55-65, August.
    17. Martin D. D. Evans & Karen K. Lewis, 2017. "Trends in Excess Returns in Currency and Bond Markets," World Scientific Book Chapters, in: Studies in Foreign Exchange Economics, chapter 2, pages 39-57, World Scientific Publishing Co. Pte. Ltd..
    18. 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.
    19. Baillie, R.T., 1988. "Econometric Tests Of Rationality And Market Efficiency," Papers 8805, Michigan State - Econometrics and Economic Theory.
    20. Hakkio, Craig S. & Rush, Mark, 1989. "Market efficiency and cointegration: an application to the sterling and deutschemark exchange markets," Journal of International Money and Finance, Elsevier, vol. 8(1), pages 75-88, March.
    21. Luintel, K. B. & Paudyal, K., 1998. "Common stochastic trends between forward and spot exchange rates," Journal of International Money and Finance, Elsevier, vol. 17(2), pages 279-297, April.
    22. Engel, Charles, 1996. "The forward discount anomaly and the risk premium: A survey of recent evidence," Journal of Empirical Finance, Elsevier, vol. 3(2), pages 123-192, June.
    23. Granger, C. W. J. & Newbold, P., 1974. "Spurious regressions in econometrics," Journal of Econometrics, Elsevier, vol. 2(2), pages 111-120, July.
    24. Johansen, Soren, 1995. "Likelihood-Based Inference in Cointegrated Vector Autoregressive Models," OUP Catalogue, Oxford University Press, number 9780198774501.
    25. Richard Meese, 1986. "Empirical assessment of foreign currency risk premiums," Proceedings, Federal Reserve Bank of St. Louis, pages 157-196.
    26. Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 39(3), pages 106-135.
    27. Bekaert, Geert & Hodrick, Robert J., 1993. "On biases in the measurement of foreign exchange risk premiums," Journal of International Money and Finance, Elsevier, vol. 12(2), pages 115-138, April.
    28. Phillips, P C B, 1991. "Optimal Inference in Cointegrated Systems," Econometrica, Econometric Society, vol. 59(2), pages 283-306, March.
    29. Bilson, John F O, 1981. "The "Speculative Efficiency" Hypothesis," The Journal of Business, University of Chicago Press, vol. 54(3), pages 435-451, July.
    30. Mark, Nelson C., 1990. "Real and nominal exchange rates in the long run: An empirical investigation," Journal of International Economics, Elsevier, vol. 28(1-2), pages 115-136, February.
    31. 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.
    32. 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.
    33. Diebold, Francis X & Gardeazabal, Javier & Yilmaz, Kamil, 1994. "On Cointegration and Exchange Rate Dynamics," Journal of Finance, American Finance Association, vol. 49(2), pages 727-735, June.
    34. Isard,Peter, 1995. "Exchange Rate Economics," Cambridge Books, Cambridge University Press, number 9780521460477, January.
    35. Fama, Eugene F., 1984. "Forward and spot exchange rates," Journal of Monetary Economics, Elsevier, vol. 14(3), pages 319-338, November.
    36. Horvath, Michael T.K. & Watson, Mark W., 1995. "Testing for Cointegration When Some of the Cointegrating Vectors are Prespecified," Econometric Theory, Cambridge University Press, vol. 11(5), pages 984-1014, October.
    37. Craig S. Hakkio & Mark Rush, 1987. "Market efficiency and cointegration," Research Working Paper 87-05, Federal Reserve Bank of Kansas City.
    38. Corbae, Dean & Lim, Kian-Guan & Ouliaris, Sam, 1992. "On Cointegration and Tests of Forward Market Unbiasedness," The Review of Economics and Statistics, MIT Press, vol. 74(4), pages 728-732, November.
    39. 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.
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    2. Giannellis, Nikolaos & Papadopoulos, Athanasios P., 2009. "Testing for efficiency in selected developing foreign exchange markets: An equilibrium-based approach," Economic Modelling, Elsevier, vol. 26(1), pages 155-166, January.
    3. Chinn, Menzie D. & Meredith, Guy, 2000. "Testing uncovered interest parity at short and long horizons," HWWA Discussion Papers 102, Hamburg Institute of International Economics (HWWA).
    4. Nelson Mark & Young-Kyu Moh, 2003. "Official Interventions and Occasional Violations of Uncovered Interest Party in the Dollar-DM Market," NBER Working Papers 9948, National Bureau of Economic Research, Inc.
    5. Neil Kellard & Paul Newbold & Tony Rayner, 2001. "Evaluating currency market efficiency: are cointegration tests appropriate?," Applied Financial Economics, Taylor & Francis Journals, vol. 11(6), pages 681-691.
    6. Wagner, Christian, 2012. "Risk-premia, carry-trade dynamics, and economic value of currency speculation," Journal of International Money and Finance, Elsevier, vol. 31(5), pages 1195-1219.
    7. Derek Bond & Michael J. Harrison & Niall Hession & Edward J. O'Brien, 2006. "Some Empirical Observations on the Forward Exchange Rate Anomaly," Trinity Economics Papers tep2006, Trinity College Dublin, Department of Economics.
    8. Chigira, Hiroaki, 2006. "A test of serial independence of deviations from cointegrating relations," Economics Letters, Elsevier, vol. 92(1), pages 52-57, July.
    9. Menzie D. Chinn & Guy Meredith, 2005. "Testing Uncovered Interest Parity at Short and Long Horizons during the Post-Bretton Woods Era," NBER Working Papers 11077, National Bureau of Economic Research, Inc.
    10. Clinton Watkins & Michael McAleer, 2006. "Pricing of non-ferrous metals futures on the London Metal Exchange," Applied Financial Economics, Taylor & Francis Journals, vol. 16(12), pages 853-880.
    11. Ali Kutan & Su Zhou, 2003. "Has the Link Between the Spot and Forward Exchange Rates Broken Down? Evidence from Rolling Cointegration Tests," Open Economies Review, Springer, vol. 14(4), pages 369-379, October.
    12. David McMillan, 2005. "Cointegrating behaviour between spot and forward exchange rates," Applied Financial Economics, Taylor & Francis Journals, vol. 15(16), pages 1135-1144.
    13. Bams, Dennis & Walkowiak, Kim & Wolff, Christian C. P., 2004. "More evidence on the dollar risk premium in the foreign exchange market," Journal of International Money and Finance, Elsevier, vol. 23(2), pages 271-282, March.
    14. Sofiane Sekioua, 2004. "The forward unbiasedness hypothesis and the forward premium: a nonlinear analysis," Money Macro and Finance (MMF) Research Group Conference 2003 85, Money Macro and Finance Research Group.

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    More about this item

    Keywords

    cointegration; exchange rates; forward rate unbiasedness; weak exogeneity;
    All these keywords.

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • F31 - International Economics - - International Finance - - - Foreign Exchange

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