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Testing forward exchange rate unbiasedness efficiently: a semiparametric approach

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.

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Article provided by Universidad del CEMA in its journal Journal of Applied Economics.

Volume (Year): VII (2004)
Issue (Month): (November)
Pages: 325-353

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Handle: RePEc:cem:jaecon:v:7:y:2004:n:2:p:325-353
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  1. Ross Levine, 1987. "The pricing of forward exchange rates," International Finance Discussion Papers 312, Board of Governors of the Federal Reserve System (U.S.).
  2. Fama, Eugene F., 1984. "Forward and spot exchange rates," Journal of Monetary Economics, Elsevier, vol. 14(3), pages 319-338, November.
  3. Keith Vorkink & Douglas J. Hodgson & Oliver Linton, 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.
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  5. 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.
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  7. 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.
  8. Hodgson, D.J., 1995. "Adaptive Estimation of Cointegrating Regressions with ARMA Errors," RCER Working Papers 408, University of Rochester - Center for Economic Research (RCER).
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  10. 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 553-63, May.
  11. repec:cup:etheor:v:11:y:1995:i:5:p:818-87 is not listed on IDEAS
  12. Baillie, R.T. & Bollerslev, T., 1993. "The Long Memory of the Foreward Premium," Papers 9203, Michigan State - Econometrics and Economic Theory.
  13. Linton, Oliver, 1995. "Second Order Approximation in the Partially Linear Regression Model," Econometrica, Econometric Society, vol. 63(5), pages 1079-1112, September.
  14. 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.
  15. 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 627-50, Nov.-Dec..
  16. 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.
  17. Jeganathan, P., 1995. "Some Aspects of Asymptotic Theory with Applications to Time Series Models," Econometric Theory, Cambridge University Press, vol. 11(05), pages 818-887, October.
  18. Härdle, W.K., 1992. "Applied Nonparametric Methods," Discussion Paper 1992-6, Tilburg University, Center for Economic Research.
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  20. Oliver LINTON, . "Applied nonparametric methods," Statistic und Oekonometrie 9312, Humboldt Universitaet Berlin.
  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.
  22. 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 663-78, October.
  23. John F. O. Bilson, 1980. "The "Speculative Efficiency" Hypothesis," NBER Working Papers 0474, National Bureau of Economic Research, Inc.
  24. 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 829-53, October.
  25. White, Halbert, 1982. "Maximum Likelihood Estimation of Misspecified Models," Econometrica, Econometric Society, vol. 50(1), pages 1-25, January.
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  27. Steigerwald, Douglas G., 1992. "Adaptive estimation in time series regression models," Journal of Econometrics, Elsevier, vol. 54(1-3), pages 251-275.
  28. 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.
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