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

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  • Alex Maynard

    (University of Toronto)

Abstract

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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Bibliographic Info

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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Web page: http://mitpress.mit.edu/journals/

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References

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  1. Martin D. Evans & Karen K. Lewis, 1992. "Peso Problems and Heterogeneous Trading: Evidence from Excess Returns in Foreign Exchange and Euromarkets," Working Papers 92-13, New York University, Leonard N. Stern School of Business, Department of Economics.
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  4. 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.
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  8. Serena Ng & Pierre Perron, 1997. "Lag Length Selection and the Construction of Unit Root Tests with Good Size and Power," Boston College Working Papers in Economics 369, Boston College Department of Economics, revised 01 Sep 2000.
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  14. 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..
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  17. 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.
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Citations

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Cited by:
  1. Brian Lucey & Grace Loring, 2012. "Forward Exchange Rate Biasedness across Developed and Developing Country Currencies - Do Observed Patterns Persist Out of Sample?Abstract:," The Institute for International Integration Studies Discussion Paper Series iiisdp404, IIIS.
  2. Kleopatra Nikolaou & Lucio Sarno, 2005. "New Evidence on the Forward Unbiasedness Hypothesis in the Foreign Exchange Market," Money Macro and Finance (MMF) Research Group Conference 2005 77, Money Macro and Finance Research Group.
  3. Modjtahedi, Bagher & Movassagh, Nahid, 2005. "Natural-gas futures: Bias, predictive performance, and the theory of storage," Energy Economics, Elsevier, vol. 27(4), pages 617-637, July.
  4. Aneiros-Perez, G. & Vilar-Fernandez, J.M., 2008. "Local polynomial estimation in partial linear regression models under dependence," Computational Statistics & Data Analysis, Elsevier, vol. 52(5), pages 2757-2777, January.
  5. Craig Burnside & Martin Eichenbaum & Isaac Kleshchelski & Sergio Rebelo, 2006. "The Returns to Currency Speculation," NBER Working Papers 12489, National Bureau of Economic Research, Inc.
  6. Liu, Wei & Maynard, Alex, 2005. "Testing forward rate unbiasedness allowing for persistent regressors," Journal of Empirical Finance, Elsevier, vol. 12(5), pages 613-628, December.
  7. Alex Maynard, 2006. "The forward premium anomaly: statistical artefact or economic puzzle? New evidence from robust tests," Canadian Journal of Economics, Canadian Economics Association, vol. 39(4), pages 1244-1281, November.
  8. Aaron Smallwood; Alex Maynard; Mark Wohar, 2005. "The Long and the Short of It: Long Memory Regressors and Predictive Regressions," Computing in Economics and Finance 2005 384, Society for Computational Economics.
  9. Loring, Grace & Lucey, Brian, 2013. "An analysis of forward exchange rate biasedness across developed and developing country currencies: Do observed patterns persist out of sample?," Emerging Markets Review, Elsevier, vol. 17(C), pages 14-28.
  10. Kellard, Neil & Sarantis, Nicholas, 2008. "Can exchange rate volatility explain persistence in the forward premium?," Journal of Empirical Finance, Elsevier, vol. 15(4), pages 714-728, September.

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