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Uncovering Yield Parity: A new insight into the UIP puzzle through the stationarity of long maturity forward rates


  • Zsolt Darvas
  • Gábor Rappai
  • Zoltán Schepp


Results and models of this paper are based on a strikingly new empirical observation: long maturity forward rates between bilateral currency pairs of the US, Germany, UK, and Switzerland are stationary. Based on this result, we suggest a new explanation for the UIP-puzzle maintaining rational expectations and risk neutrality. The model builds on the interaction of foreign exchange and fixed income markets. Ex ante short run and long run UIP and the EHTS is assumed. We show that ex post shocks to the term structure could explain the behavior of the nominal exchange rate including its volatility and the failure of ex post short UIP regressions. We present evidence on ex post validity of long run UIP and strikingly new evidence on the stationarity of the long forward exchange rates of major currencies. We set up, calibrate and simulate a stylized model that well captures the observed properties of spot exchange rates and UIP regressions of major currencies. We define the notion of yield parity and test its empirical performance for monthly series of major currencies with favorable results.

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  • Zsolt Darvas & Gábor Rappai & Zoltán Schepp, 2006. "Uncovering Yield Parity: A new insight into the UIP puzzle through the stationarity of long maturity forward rates," DNB Working Papers 098, Netherlands Central Bank, Research Department.
  • Handle: RePEc:dnb:dnbwpp:098

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    1. Peter C.B. Phillips & Pierre Perron, 1986. "Testing for a Unit Root in Time Series Regression," Cowles Foundation Discussion Papers 795R, Cowles Foundation for Research in Economics, Yale University, revised Sep 1987.
    2. Clarida, Richard H. & Sarno, Lucio & Taylor, Mark P. & Valente, Giorgio, 2003. "The out-of-sample success of term structure models as exchange rate predictors: a step beyond," Journal of International Economics, Elsevier, vol. 60(1), pages 61-83, May.
    3. MacKinnon, James G & Haug, Alfred A & Michelis, Leo, 1999. "Numerical Distribution Functions of Likelihood Ratio Tests for Cointegration," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 14(5), pages 563-577, Sept.-Oct.
    4. Pierre Perron & Serena Ng, 1996. "Useful Modifications to some Unit Root Tests with Dependent Errors and their Local Asymptotic Properties," Review of Economic Studies, Oxford University Press, vol. 63(3), pages 435-463.
    5. Serena Ng & Pierre Perron, 2001. "LAG Length Selection and the Construction of Unit Root Tests with Good Size and Power," Econometrica, Econometric Society, vol. 69(6), pages 1519-1554, November.
    6. 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.
    7. Frankel, Jeffrey A. & Rose, Andrew K., 1995. "Empirical research on nominal exchange rates," Handbook of International Economics,in: G. M. Grossman & K. Rogoff (ed.), Handbook of International Economics, edition 1, volume 3, chapter 33, pages 1689-1729 Elsevier.
    8. Simpson, Marc W. & Ramchander, Sanjay & Chaudhry, Mukesh, 2005. "The impact of macroeconomic surprises on spot and forward foreign exchange markets," Journal of International Money and Finance, Elsevier, vol. 24(5), pages 693-718, September.
    9. Geert Bekaert, 2001. "Expectations Hypotheses Tests," Journal of Finance, American Finance Association, vol. 56(4), pages 1357-1394, August.
    10. McCallum, Bennett T., 1994. "A reconsideration of the uncovered interest parity relationship," Journal of Monetary Economics, Elsevier, vol. 33(1), pages 105-132, February.
    11. John Y. Campbell, 1995. "Some Lessons from the Yield Curve," Journal of Economic Perspectives, American Economic Association, vol. 9(3), pages 129-152, Summer.
    12. Robert P. Flood & Mark P. Taylor, 1996. "Exchange Rate Economics: What's Wrong with the Conventional Macro Approach?," NBER Chapters,in: The Microstructure of Foreign Exchange Markets, pages 261-302 National Bureau of Economic Research, Inc.
    13. Elliott, Graham, 1999. "Efficient Tests for a Unit Root When the Initial Observation Is Drawn from Its Unconditional Distribution," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(3), pages 767-783, August.
    14. Kenneth Rogoff, 2002. "Dornbusch’s Overshooting Model After Twenty-Five Years," IMF Working Papers 02/39, International Monetary Fund.
    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. Kwiatkowski, Denis & Phillips, Peter C. B. & Schmidt, Peter & Shin, Yongcheol, 1992. "Testing the null hypothesis of stationarity against the alternative of a unit root : How sure are we that economic time series have a unit root?," Journal of Econometrics, Elsevier, vol. 54(1-3), pages 159-178.
    17. Alexius, Annika, 2000. "UIP for Short Investments in Long-Term Bonds," Working Paper Series 115, Sveriges Riksbank (Central Bank of Sweden).
    18. Robert P. Flood & Andrew K. Rose, 2002. "Uncovered Interest Parity in Crisis," IMF Staff Papers, Palgrave Macmillan, vol. 49(2), pages 1-6.
    19. Bekaert, Geert & Wei, Min & Xing, Yuhang, 2007. "Uncovered interest rate parity and the term structure," Journal of International Money and Finance, Elsevier, vol. 26(6), pages 1038-1069, October.
    20. Alexius, Annika, 2001. "Uncovered Interest Parity Revisited," Review of International Economics, Wiley Blackwell, vol. 9(3), pages 505-517, August.
    21. Zsolt Darvas & Zoltan Schepp, 2009. "Long maturity forward rates of major currencies are stationary," Applied Economics Letters, Taylor & Francis Journals, vol. 16(11), pages 1175-1181.
    22. Ronald MacDonald & Ian W. Marsh, 1997. "On Fundamentals And Exchange Rates: A Casselian Perspective," The Review of Economics and Statistics, MIT Press, vol. 79(4), pages 655-664, November.
    23. Péter Benczúr, 2003. "The behavior of the nominal exchange rate at the beginning of disinflations," MNB Working Papers 2003/1, Magyar Nemzeti Bank (Central Bank of Hungary).
    24. Mark P. Taylor, 1995. "The Economics of Exchange Rates," Journal of Economic Literature, American Economic Association, vol. 33(1), pages 13-47, March.
    25. Shiller, Robert J. & Huston McCulloch, J., 1990. "The term structure of interest rates," Handbook of Monetary Economics,in: B. M. Friedman & F. H. Hahn (ed.), Handbook of Monetary Economics, edition 1, volume 1, chapter 13, pages 627-722 Elsevier.
    26. Phillips, P C B, 1987. "Time Series Regression with a Unit Root," Econometrica, Econometric Society, vol. 55(2), pages 277-301, March.
    27. Guy Meredith & Menzie D. Chinn, 1998. "Long-Horizon Uncovered Interest Rate Parity," NBER Working Papers 6797, National Bureau of Economic Research, Inc.
    28. Ronald Macdonald & Mark P. Taylor, 1992. "Exchange Rate Economics: A Survey," IMF Staff Papers, Palgrave Macmillan, vol. 39(1), pages 1-57, March.
    29. Perron, Pierre & Rodriguez, Gabriel, 2003. "GLS detrending, efficient unit root tests and structural change," Journal of Econometrics, Elsevier, vol. 115(1), pages 1-27, July.
    30. Froot, Kenneth A & Thaler, Richard H, 1990. "Foreign Exchange," Journal of Economic Perspectives, American Economic Association, vol. 4(3), pages 179-192, Summer.
    31. Stefano Cavaglia & Willem F. C. Verschoor & Christian C. P. Wolff & Kees G. Koedijk, 1998. "Interest expectations and exchange rates news," Empirical Economics, Springer, vol. 23(4), pages 525-534.
    32. Chinn, Menzie D. & Meredith, Guy, 2000. "Testing uncovered interest parity at short and long horizons," HWWA Discussion Papers 102, Hamburg Institute of International Economics (HWWA).
    33. Kugler, Peter, 2000. "The expectations hypothesis of the term structure of interest rates, open interest rate parity and central bank policy reaction," Economics Letters, Elsevier, vol. 66(2), pages 209-214, February.
    34. Elliott, Graham & Rothenberg, Thomas J & Stock, James H, 1996. "Efficient Tests for an Autoregressive Unit Root," Econometrica, Econometric Society, vol. 64(4), pages 813-836, July.
    35. Inci, Ahmet Can & Lu, Biao, 2004. "Exchange rates and interest rates: can term structure models explain currency movements?," Journal of Economic Dynamics and Control, Elsevier, vol. 28(8), pages 1595-1624, June.
    36. Menzie D. Chinn & Guy Meredith, 2005. "Testing Uncovered Interest Parity at Short and Long Horizons during the Post-Bretton Woods Era," NBER Working Papers 11077, National Bureau of Economic Research, Inc.
    37. Jacob Boudoukh & Matthew Richardson & Robert Whitelaw, 2005. "The Information in Long-Maturity Forward Rates: Implications for Exchange Rates and the Forward Premium Anomaly," NBER Working Papers 11840, National Bureau of Economic Research, Inc.
    38. Juselius, Katarina & MacDonald, Ronald, 2004. "International parity relationships between the USA and Japan," Japan and the World Economy, Elsevier, vol. 16(1), pages 17-34, January.
    39. Kirby, Chris, 1997. "Measuring the Predictable Variation in Stock and Bond Returns," Review of Financial Studies, Society for Financial Studies, vol. 10(3), pages 579-630.
    40. Darvas, Zsolt, 1998. "Spurious Correlation in Exchange Rate Target Zone Modelling: Testing the Drift Adjustment Method on the US Dollar, Random Walk and Chaos," CEPR Discussion Papers 1890, C.E.P.R. Discussion Papers.
    41. Chinn, Menzie David & Meredith, Guy, 2000. "Interest parity at short and long horizons," SFB 373 Discussion Papers 2000,44, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
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    Cited by:

    1. Zsolt DARVAS & Zoltán SCHEPP, "undated". "Forecasting Exchange Rates of Major Currencies with Long Maturity Forward Rates," EcoMod2008 23800026, EcoMod.

    More about this item


    EHTS; forward discount bias; stationarity of long maturity forward rates; UIP; yield parity;

    JEL classification:

    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • F31 - International Economics - - International Finance - - - Foreign Exchange

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