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Testing Forward Exchange Rate Unbiasedness Efficiently: A Semiparametric Approach

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  • Douglas J. Hodgson
  • Oliver Linton
  • Keith Vorkink

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

  • Douglas J. Hodgson & Oliver Linton & Keith Vorkink, 2004. "Testing Forward Exchange Rate Unbiasedness Efficiently: A Semiparametric Approach," Journal of Applied Economics, Taylor & Francis Journals, vol. 7(1), pages 325-353, May.
    • Handle: RePEc:taf:recsxx:v:7:y:2004:i:1:p:325-353
    DOI: 10.1080/15140326.2004.12040608
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    Cited by:

    1. Derek E. H. Olmstead, 2018. "Ontario's Auction Market for Financial Transmission Rights: An Analysis of its Efficiency," The Energy Journal, , vol. 39(1), pages 235-252, January.
    2. Dhekra Azouzi & Rohit Vishal Kumar & Chaker Aloui, 2011. "Forward Rate Unbiasedness Hypothesis in the Tunisian Exchange Rate Market," International Journal of Academic Research in Business and Social Sciences, Human Resource Management Academic Research Society, International Journal of Academic Research in Business and Social Sciences, vol. 1(2), pages 17-44, July.
    3. Amengual, Dante & Sentana, Enrique, 2010. "A comparison of mean-variance efficiency tests," Journal of Econometrics, Elsevier, vol. 154(1), pages 16-34, January.
    4. Ioannis N. Kallianiotis, 2021. "Exchange Rate Determination: The Portfolio-Balance Approach," Journal of Applied Finance & Banking, SCIENPRESS Ltd, vol. 11(1), pages 1-2.
    5. 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.

    More about this item

    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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