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Testing Uncovered Interest Parity: A Continuous-Time Approach

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  • Antonio Diez de los Rios
  • Enrique Sentana

Abstract

Nowadays researchers can choose the sampling frequency of exchange rates and interest rates. If the number of observations per contract period is large relative to the sample size, standard GMM asymptotic theory provides unreliable inferences in UIP regression tests. We specify a bivariate continuous-time model for exchange rates and forward premia robust to temporal aggregation, unlike the discrete time models in the literature. We obtain the UIP restrictions on the continuous-time model parameters, which we estimate efficiently, and propose a novel specification test that compares estimators at different frequencies. Our empirical results based on correctly specified models reject UIP.

Suggested Citation

  • Antonio Diez de los Rios & Enrique Sentana, 2007. "Testing Uncovered Interest Parity: A Continuous-Time Approach," Staff Working Papers 07-53, Bank of Canada.
  • Handle: RePEc:bca:bocawp:07-53
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    References listed on IDEAS

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    1. Newey, Whitney & West, Kenneth, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Publishing House "SINERGIA PRESS", pages 125-132.
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    3. 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.
    4. Mark, Nelson C & Wu, Yangru, 1998. "Rethinking Deviations from Uncovered Interest Parity: The Role of Covariance Risk and Noise," Economic Journal, Royal Economic Society, vol. 108(451), pages 1686-1706, November.
    5. Hodrick, Robert J, 1992. "Dividend Yields and Expected Stock Returns: Alternative Procedures for Inference and Measurement," Review of Financial Studies, Society for Financial Studies, pages 357-386.
    6. Antonio Diez De Los Rios, 2009. "Can Affine Term Structure Models Help Us Predict Exchange Rates?," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 41(4), pages 755-766, June.
    7. Bergstrom, A.R., 1984. "Continuous time stochastic models and issues of aggregation over time," Handbook of Econometrics,in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 2, chapter 20, pages 1145-1212 Elsevier.
    8. Lars Peter Hansen & Robert J. Hodrick, 1983. "Risk Averse Speculation in the Forward Foreign Exchange Market: An Econometric Analysis of Linear Models," NBER Chapters,in: Exchange Rates and International Macroeconomics, pages 113-152 National Bureau of Economic Research, Inc.
    9. Frenkel, Jacob A, 1977. "The Forward Exchange Rate, Expectations, and the Demand for Money: The German Hyperinflation," American Economic Review, American Economic Association, pages 653-670.
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    Cited by:

    1. Macchiarelli, Corrado, 2014. "Bond market co-movements, expected inflation and the GBP-USD equilibrium real exchange rate," The Quarterly Review of Economics and Finance, Elsevier, pages 242-256.
    2. Peñaranda, Francisco & Sentana, Enrique, 2012. "Spanning tests in return and stochastic discount factor mean–variance frontiers: A unifying approach," Journal of Econometrics, Elsevier, pages 303-324.
    3. Chambers, MJ & McCrorie, JR & Thornton, MA, 2017. "Continuous Time Modelling Based on an Exact Discrete Time Representation," Economics Discussion Papers 20497, University of Essex, Department of Economics.
    4. Kempa, Bernd & Riedel, Jana, 2013. "Nonlinearities in exchange rate determination in a small open economy: Some evidence for Canada," The North American Journal of Economics and Finance, Elsevier, vol. 24(C), pages 268-278.
    5. Thornton, Michael A. & Chambers, Marcus J., 2016. "The exact discretisation of CARMA models with applications in finance," Journal of Empirical Finance, Elsevier, pages 739-761.
    6. Corrado Macchiarelli, 2013. "On the Joint Test of the Uncovered Interest Parity and the Ex-ante Purchasing Power Parity," Review of International Economics, Wiley Blackwell, vol. 21(3), pages 519-535, August.

    More about this item

    Keywords

    Exchange rates; Econometric and statistical methods;

    JEL classification:

    • F31 - International Economics - - International Finance - - - Foreign Exchange
    • G15 - Financial Economics - - General Financial Markets - - - International Financial Markets

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