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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): 7 (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. 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.
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  8. Steigerwald, Douglas G., 1992. "Adaptive estimation in time series regression models," Journal of Econometrics, Elsevier, vol. 54(1-3), pages 251-275.
  9. 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.
  10. 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.
  11. 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.
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  15. 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.
  16. repec:cup:etheor:v:11:y:1995:i:5:p:818-87 is not listed on IDEAS
  17. 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.
  18. Linton, Oliver, 1995. "Second Order Approximation in the Partially Linear Regression Model," Econometrica, Econometric Society, vol. 63(5), pages 1079-1112, September.
  19. Fama, Eugene F., 1984. "Forward and spot exchange rates," Journal of Monetary Economics, Elsevier, vol. 14(3), pages 319-338, November.
  20. Levine, Ross, 1989. "The pricing of forward exchange rates," Journal of International Money and Finance, Elsevier, vol. 8(2), pages 163-179, June.
  21. 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.
  22. 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.
  23. 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.
  24. Hodgson, Douglas J., 1998. "Adaptive estimation of cointegrating regressions with ARMA errors," Journal of Econometrics, Elsevier, vol. 85(2), pages 231-267, August.
  25. White, Halbert, 1982. "Maximum Likelihood Estimation of Misspecified Models," Econometrica, Econometric Society, vol. 50(1), pages 1-25, January.
  26. 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..
  27. 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.
  28. 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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