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Testing forward exchange rate unbiasedness efficiently: A semiparametric approach

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  • Hodgson, Douglas J.
  • Linton, Oliver
  • Vorkink, Keith

Abstract

We apply semiparametric efficient estimation procedures for a seemingly unrelated regression model where the multivariate error density is elliptically symmetric to study the efficiency of the foreign exchange market. We consider both cointegrating regressions and standard stationary regressions. The elliptical symmetry assumption allows us to avoid the curse of dimensionality problem that typically arises in multivariate semiparametric estimation procedures, because the multivariate elliptically symmetric density function can be written as a function of a scalar transformation of the observed multivariate data. We test the unbiasedness hypothesis on both weekly and daily exchange rate data and strongly reject unbiasedness at the weekly horizon, but fail to reject the unbiasedness hypothesis on the daily data. Estimates of the semiparametric procedure in some cases differ substantially from traditional OLS estimates.

Suggested Citation

  • Hodgson, Douglas J. & Linton, Oliver & Vorkink, Keith, 2004. "Testing forward exchange rate unbiasedness efficiently: A semiparametric approach," Journal of Applied Economics, Universidad del CEMA, vol. 7(2), pages 1-29, November.
    • Handle: RePEc:ags:jaecon:43548
    DOI: 10.22004/ag.econ.43548
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    1. Hakkio, Craig S, 1981. "Expectations and the Forward Exchange Rate," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 22(3), pages 663-678, October.
    2. Baillie, Richard T & Bollerslev, Tim, 1994. "The long memory of the forward premium," Journal of International Money and Finance, Elsevier, vol. 13(5), pages 565-571, October.
    3. Douglas J. Hodgson & Oliver Linton & Keith Vorkink, 2002. "Testing the capital asset pricing model efficiently under elliptical symmetry: a semiparametric approach," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 17(6), pages 617-639, December.
    4. Hodgson, D.J., 1995. "Adaptive Estimation of Error Correlation Models," RCER Working Papers 410, University of Rochester - Center for Economic Research (RCER).
    5. Hansen, Lars Peter & Hodrick, Robert J, 1980. "Forward Exchange Rates as Optimal Predictors of Future Spot Rates: An Econometric Analysis," Journal of Political Economy, University of Chicago Press, vol. 88(5), pages 829-853, October.
    6. Hardle, Wolfgang & Linton, Oliver, 1986. "Applied nonparametric methods," Handbook of Econometrics, in: R. F. Engle & D. McFadden (ed.), Handbook of Econometrics, edition 1, volume 4, chapter 38, pages 2295-2339, Elsevier.
    7. Chamberlain, Gary, 1983. "A characterization of the distributions that imply mean--Variance utility functions," Journal of Economic Theory, Elsevier, vol. 29(1), pages 185-201, February.
    8. 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 167-181, March.
    9. Phillips, Peter C. B. & McFarland, James W., 1997. "Forward exchange market unbiasedness: the case of the Australian dollar since 1984," Journal of International Money and Finance, Elsevier, vol. 16(6), pages 885-907, December.
    10. 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.
    11. Peter C. B. Phillips & Bruce E. Hansen, 1990. "Statistical Inference in Instrumental Variables Regression with I(1) Processes," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(1), pages 99-125.
    12. Bilson, John F O, 1981. "The "Speculative Efficiency" Hypothesis," The Journal of Business, University of Chicago Press, vol. 54(3), pages 435-451, July.
    13. repec:cup:etheor:v:11:y:1995:i:5:p:818-87 is not listed on IDEAS
    14. Phillips, Peter C B & McFarland, James W & McMahon, Patrick C, 1996. "Robust Tests of Forward Exchange Market Efficiency with Empirical Evidence from the 1920s," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(1), pages 1-22, Jan.-Feb..
    15. 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.
    16. Levine, Ross, 1989. "The pricing of forward exchange rates," Journal of International Money and Finance, Elsevier, vol. 8(2), pages 163-179, June.
    17. Martin D. D. Evans & Karen K. Lewis, 2017. "Do Long-Term Swings in the Dollar Affect Estimates of the Risk Premia?," World Scientific Book Chapters, in: Studies in Foreign Exchange Economics, chapter 3, pages 59-99, World Scientific Publishing Co. Pte. Ltd..
    18. Linton, Oliver, 1995. "Second Order Approximation in the Partially Linear Regression Model," Econometrica, Econometric Society, vol. 63(5), pages 1079-1112, September.
    19. Cornell, Bradford, 1989. "The impact of data errors on measurement of the foreign exchange risk premium," Journal of International Money and Finance, Elsevier, vol. 8(1), pages 147-157, March.
    20. Hodgson, Douglas J., 1998. "Adaptive estimation of cointegrating regressions with ARMA errors," Journal of Econometrics, Elsevier, vol. 85(2), pages 231-267, August.
    21. Hodgson, Douglas J, 1999. "Adaptive Estimation of Cointegrated Models: Simulation Evidence and an Application to the Forward Exchange Market," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 14(6), pages 627-650, Nov.-Dec..
    22. 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.
    23. repec:cup:etheor:v:11:y:1995:i:5:p:912-51 is not listed on IDEAS
    24. Steigerwald, Douglas G., 1992. "Adaptive estimation in time series regression models," Journal of Econometrics, Elsevier, vol. 54(1-3), pages 251-275.
    25. Levine, Ross, 1991. "An empirical inquiry into the nature of the forward exchange rate bias," Journal of International Economics, Elsevier, vol. 30(3-4), pages 359-369, May.
    26. Phillips, Peter C.B., 1995. "Robust Nonstationary Regression," Econometric Theory, Cambridge University Press, vol. 11(5), pages 912-951, October.
    27. Jeganathan, P., 1995. "Some Aspects of Asymptotic Theory with Applications to Time Series Models," Econometric Theory, Cambridge University Press, vol. 11(5), pages 818-887, October.
    28. 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.
    29. Fama, Eugene F., 1984. "Forward and spot exchange rates," Journal of Monetary Economics, Elsevier, vol. 14(3), pages 319-338, November.
    30. Douglas Hodgson, 2000. "Unconditional pseudo-maximum likelihood and adaptive estimation in the presence of conditional heterogeneity of unknown form," Econometric Reviews, Taylor & Francis Journals, vol. 19(2), pages 175-206.
    31. Hodgson, Douglas J., 1998. "Adaptive Estimation Of Error Correction Models," Econometric Theory, Cambridge University Press, vol. 14(1), pages 44-69, February.
    32. Bailey, Ralph W & Baillie, Richard T & McMahon, Patrick C, 1984. "Interpreting Econometric Evidence on Efficiency in the Foreign Exchange Market," Oxford Economic Papers, Oxford University Press, vol. 36(1), pages 67-85, March.
    33. White, Halbert, 1982. "Maximum Likelihood Estimation of Misspecified Models," Econometrica, Econometric Society, vol. 50(1), pages 1-25, January.
    34. Baillie, Richard T & Lippens, Robert E & McMahon, Patrick C, 1983. "Testing Rational Expectations and Efficiency in the Foreign Exchange Market," Econometrica, Econometric Society, vol. 51(3), pages 553-563, May.
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    Cited by:

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    2. Amengual, Dante & Sentana, Enrique, 2010. "A comparison of mean-variance efficiency tests," Journal of Econometrics, Elsevier, vol. 154(1), pages 16-34, January.
    3. Ioannis N. Kallianiotis, 2021. "Exchange Rate Determination: The Portfolio-Balance Approach," Journal of Applied Finance & Banking, SCIENPRESS Ltd, vol. 11(1), pages 1-2.
    4. Fu, Hsuan & Luger, Richard, 2022. "Multiple testing of the forward rate unbiasedness hypothesis across currencies," Journal of Empirical Finance, Elsevier, vol. 68(C), pages 232-245.

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    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes

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