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Testing for Forward-Rate Unbiasedness: On Regression in Levels and in Returns

  • Alex Maynard

    (University of Toronto)

Several recent empirical studies have been forced to reject exact 1:1 cointegration between spot and forward exchange rates. Theoretically, this is shown to provide a possible explanation for the puzzling negative estimates reported from spot-return-forward-premium regressions. In particular, the coefficient in this regression has a unit root component in its limit distribution that imparts a bias and skewness to the estimator. Simulations are used to demonstrate how even very small deviations from 1:1 cointegration can result in substantial bias. The empirical evidence suggests that the implied Dickey-Fuller-type terms do exhibit a downward bias, yet are of insufficient magnitude to fully account for the puzzling regression coefficients mentioned above. © 2003 President and Fellows of Harvard College and the Massachusetts Institute of Technology.

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Article provided by MIT Press in its journal Review of Economics and Statistics.

Volume (Year): 85 (2003)
Issue (Month): 2 (May)
Pages: 313-327

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Handle: RePEc:tpr:restat:v:85:y:2003:i:2:p:313-327
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  1. Peter C.B. Phillips & James W. McFarland & Patrick C. McMahon, 1994. "Robust Tests of Forward Exchange Market Efficiency with Empirical Evidence from the 1920's," Cowles Foundation Discussion Papers 1080, Cowles Foundation for Research in Economics, Yale University.
  2. Graham Elliott & Thomas J. Rothenberg & James H. Stock, 1992. "Efficient Tests for an Autoregressive Unit Root," NBER Technical Working Papers 0130, National Bureau of Economic Research, Inc.
  3. Kaminsky, Graciela & Peruga, Rodrigo, 1990. "Can a time-varying risk premium explain excess returns in the forward market for foreign exchange?," Journal of International Economics, Elsevier, vol. 28(1-2), pages 47-70, February.
  4. 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.
  5. Martin D. Evans & Karen K. Lewis, 1992. "Peso Problems and Heterogeneous Trading: Evidence From Excess Returns in Foreign Exchange and Euromarkets," NBER Working Papers 4003, National Bureau of Economic Research, Inc.
  6. 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..
  7. Crowder, William J., 1995. "Covered interest parity and international capital market efficiency," International Review of Economics & Finance, Elsevier, vol. 4(2), pages 115-132.
  8. Maurice Obstfeld & Kenneth S. Rogoff, 1996. "Foundations of International Macroeconomics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262150476, June.
  9. Perron, P. & Rodriguez, G., 2000. "Residual Based Tests for Cointegration with GLS Detrended Data," Working Papers 0004e, University of Ottawa, Department of Economics.
  10. 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.
  11. Frenkel, Jacob A, 1976. " A Monetary Approach to the Exchange Rate: Doctrinal Aspects and Empirical Evidence," Scandinavian Journal of Economics, Wiley Blackwell, vol. 78(2), pages 200-224.
  12. Baillie, Richard T. & Bollerslev, Tim, 2000. "The forward premium anomaly is not as bad as you think," Journal of International Money and Finance, Elsevier, vol. 19(4), pages 471-488, August.
  13. Alex Maynard & Peter C. B. Phillips, 2001. "Rethinking an old empirical puzzle: econometric evidence on the forward discount anomaly," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(6), pages 671-708.
  14. Meese, Richard A & Singleton, Kenneth J, 1982. " On Unit Roots and the Empirical Modeling of Exchange Rates," Journal of Finance, American Finance Association, vol. 37(4), pages 1029-35, September.
  15. Phillips, Peter C B, 1995. "Fully Modified Least Squares and Vector Autoregression," Econometrica, Econometric Society, vol. 63(5), pages 1023-78, September.
  16. Mark, Nelson C., 1985. "On time varying risk premia in the foreign exchange market: An econometric analysis," Journal of Monetary Economics, Elsevier, vol. 16(1), pages 3-18, July.
  17. Lewis, Karen K, 1989. "Changing Beliefs and Systematic Rational Forecast Errors with Evidence from Foreign Exchange," American Economic Review, American Economic Association, vol. 79(4), pages 621-36, September.
  18. Serena Ng & Pierre Perron, 2001. "LAG Length Selection and the Construction of Unit Root Tests with Good Size and Power," Econometrica, Econometric Society, vol. 69(6), pages 1519-1554, November.
  19. Goodhart, Charles A E & McMahon, Patrick C & Ngama, Yerima L, 1997. "Why Does the Spot-Forward Discount Fail to Predict Changes in Future Spot Rates," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 2(2), pages 121-29, April.
  20. Fama, Eugene F., 1984. "Forward and spot exchange rates," Journal of Monetary Economics, Elsevier, vol. 14(3), pages 319-338, November.
  21. Bennett T. McCallum, 1992. "A Reconsideration of the Uncovered Interest Parity Relationship," NBER Working Papers 4113, National Bureau of Economic Research, Inc.
  22. Modjtahedi, Bagher, 1991. "Multiple maturities and time-varying risk premia in forward exchange markets : An econometric analysis," Journal of International Economics, Elsevier, vol. 30(1-2), pages 69-86, February.
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