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Near unit roots, cointegration, and the term structure of interest rates

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  • Markku Lanne

    (Research Unit on Economic Structures and Growth, Department of Economics, PO Box 54 (Unioninkatu 37), FIN-00014, University of Helsinki, Finland)

Abstract

The term structure of interest rates is often modelled as a cointegrated system with the yield spreads forming the cointegrating vectors. Testing whether the yield spreads span the cointegration space is problematic because conventional tests on the cointegration vectors tend to overreject when the largest autoregressive roots deviate from unity, as is likely to be the case with interest rates. A new test that is robust w.r.t. deviations from the exact unit root assumption is developed and applied to monthly US interest rate data from 1952:1-1991:2. Taking into account the regime shift in 1979, the hypothesis of the yield spreads being the cointegrating vectors cannot be rejected using the robust test. Copyright © 2000 John Wiley & Sons, Ltd.

Suggested Citation

  • Markku Lanne, 2000. "Near unit roots, cointegration, and the term structure of interest rates," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 15(5), pages 513-529.
  • Handle: RePEc:jae:japmet:v:15:y:2000:i:5:p:513-529
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    1. Erik Hjalmarsson & Pär Österholm, 2010. "Testing for cointegration using the Johansen methodology when variables are near-integrated: size distortions and partial remedies," Empirical Economics, Springer, vol. 39(1), pages 51-76, August.
    2. Costas N. Kanellopoulos, 2012. "The Size and structure of uninsured employment," Economic Bulletin, Bank of Greece, issue 37, pages 23-41, December.
    3. Georgoutsos, Dimitris A. & Migiakis, Petros M., 2013. "Heterogeneity of the determinants of euro-area sovereign bond spreads; what does it tell us about financial stability?," Journal of Banking & Finance, Elsevier, vol. 37(11), pages 4650-4664.
    4. Silva Lopes, Artur C. & Monteiro, Olga Susana, 2007. "The Expectations Hypothesis of the Term Structure: Some Empirical Evidence for Portugal," MPRA Paper 6310, University Library of Munich, Germany, revised 14 Dec 2007.
    5. Haug Alfred A & Siklos Pierre L, 2006. "The Behavior of Short-Term Interest Rates: International Evidence of Non-Linear Adjustment," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 10(4), pages 1-34, December.
    6. Esteve, Vicente & Navarro-Ibáñez, Manuel & Prats, María A., 2013. "The Spanish term structure of interest rates revisited: Cointegration with multiple structural breaks, 1974–2010," International Review of Economics & Finance, Elsevier, vol. 25(C), pages 24-34.
    7. Sophocles N. Brissimis & Petros M. Migiakis, 2016. "Inflation persistence, learning dynamics and the rationality of inflation expectations," Empirical Economics, Springer, vol. 51(3), pages 963-979, November.
    8. Hjalmarsson, Erik & Österholm, Pär, 2017. "Households’ Mortgage-Rate Expectations: More Realistic than at First Glance?," Working Papers 2017:9, Örebro University, School of Business.
    9. Ken Nyholm & Riccardo Rebonato, 2008. "Long-horizon yield curve projections: comparison of semi-parametric and parametric approaches," Applied Financial Economics, Taylor & Francis Journals, vol. 18(20), pages 1597-1611.
    10. Sarno, Lucio & Thornton, Daniel L., 2003. "The dynamic relationship between the federal funds rate and the Treasury bill rate: An empirical investigation," Journal of Banking & Finance, Elsevier, vol. 27(6), pages 1079-1110, June.
    11. Beechey, Meredith & Hjalmarsson, Erik & sterholm, Pr, 2009. "Testing the expectations hypothesis when interest rates are near integrated," Journal of Banking & Finance, Elsevier, vol. 33(5), pages 934-943, May.
    12. Dimitris A. Georgoutsos & Petros M. Migiakis, 2012. "Benchmark Bonds Interactions under Regime Shifts," European Financial Management, European Financial Management Association, vol. 18(3), pages 389-409, June.
    13. Petros M. Migiakis, 2012. "Reviewing the proposals for common bond issuances by the euro-area sovereign under a long-term perspective," Economic Bulletin, Bank of Greece, issue 37, pages 43-54, December.
    14. Olga Susana M. Monteiro & Artur C. B. da Silva Lopes, 2010. "Short- and Long-Run Tests of the Expectations Hypothesis: The Portuguese Case," Applied Economics Quarterly (formerly: Konjunkturpolitik), Duncker & Humblot, Berlin, vol. 56(3), pages 257-280.
    15. Nikitas Pittis & Christina Christou & Sarantis Kalyvitis & Christis Hassapis, 2009. "Long-Run PPP under the Presence of Near-to-Unit Roots: The Case of the British Pound-US Dollar Rate," Review of International Economics, Wiley Blackwell, vol. 17(1), pages 144-155, February.
    16. Chew Lian Chua & Chin Nam Low, 2007. "Permanent Structural Change in the US Short-Term and Long-Term Interest Rates," Melbourne Institute Working Paper Series wp2007n22, Melbourne Institute of Applied Economic and Social Research, The University of Melbourne.
    17. Nagayasu, Jun, 2002. "On the term structure of interest rates and inflation in Japan," Journal of Economics and Business, Elsevier, vol. 54(5), pages 505-523.
    18. Fabrizio Iacone, 2009. "A Semiparametric Analysis of the Term Structure of the US Interest Rates," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 71(4), pages 475-490, August.
    19. Dimitris A. Georgoutsos & Petros Migiakis, 2010. "European sovereign bond spreads: monetary unification, market conditions and financial integration," Working Papers 115, Bank of Greece.
    20. Zacharias Bragoudakis & Dimitrios Sideris, 2012. "Do retail gasoline prices adjust symmetrically to crude oil price changes? the case of the Greek oil market," Economic Bulletin, Bank of Greece, issue 37, pages 7-21, December.
    21. Lizardo Radhames A. & Mollick Andre Varella, 2011. "The Impact of Chinese Purchases of U.S. Government Debt on the Treasury Yield Curve," Global Economy Journal, De Gruyter, vol. 11(4), pages 1-23, December.
    22. Lima, Luiz Renato & Xiao, Zhijie, 2007. "Do shocks last forever? Local persistency in economic time series," Journal of Macroeconomics, Elsevier, vol. 29(1), pages 103-122, March.
    23. Khalaf, Lynda & Urga, Giovanni, 2014. "Identification robust inference in cointegrating regressions," Journal of Econometrics, Elsevier, vol. 182(2), pages 385-396.
    24. Kosei Fukuda, 2011. "Cointegration rank switching model: an application to forecasting interest rates," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 30(5), pages 509-522, August.

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