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

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

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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.

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Publisher Info
Article provided by John Wiley & Sons, Ltd. in its journal Journal of Applied Econometrics.

Volume (Year): 15 (2000)
Issue (Month): 5 ()
Pages: 513-529
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Handle: RePEc:jae:japmet:v:15:y:2000:i:5:p:513-529

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References listed on IDEAS
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  1. Saikkonen, Pentti & Luukkonen, Ritva, 1997. "Testing cointegration in infinite order vector autoregressive processes," Journal of Econometrics, Elsevier, vol. 81(1), pages 93-126, November. [Downloadable!] (restricted)
  2. Stock, James H., 1991. "Confidence intervals for the largest autoregressive root in U.S. macroeconomic time series," Journal of Monetary Economics, Elsevier, vol. 28(3), pages 435-459, December. [Downloadable!] (restricted)
    Other versions:
  3. repec:cup:etheor:v:11:y:1995:i:5:p:984-1014 is not listed on IDEAS
  4. Ng, S. & Perron, P., 1994. "Unit Root Tests ARMA Models with Data Dependent Methods for the Selection of the Truncation Lag," Cahiers de recherche 9423, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
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  5. N. Gregory Mankiw & Jeffrey A. Miron, 1986. "The Changing Behavior of the Term Structure of Interest Rates," NBER Working Papers 1669, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  6. Campbell, John Y. & Shiller, Robert J., 1988. "Interpreting cointegrated models," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 505-522. [Downloadable!] (restricted)
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  7. Zhang, Hua, 1993. "Treasury Yield Curves and Cointegration," Applied Economics, Taylor and Francis Journals, vol. 25(3), pages 361-67, March.
  8. Bennett T. McCallum, 1994. "Monetary Policy and the Term Structure of Interest Rates," NBER Working Papers 4938, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  9. Shea, Gary S, 1992. "Benchmarking the Expectations Hypothesis of the Interest-Rate Term Structure: An Analysis of Cointegration Vectors," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 347-66, July.
  10. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985. "A Theory of the Term Structure of Interest Rates," Econometrica, Econometric Society, vol. 53(2), pages 385-407, March. [Downloadable!] (restricted)
  11. Saikkonen, Pentti & L tkepohl, Helmut, 1999. "Local Power Of Likelihood Ratio Tests For The Cointegrating Rank Of A Var Process," Econometric Theory, Cambridge University Press, vol. 15(01), pages 50-78, February. [Downloadable!]
  12. Engsted, Tom & Tanggaard, Carsten, 1994. "Cointegration and the US term structure," Journal of Banking & Finance, Elsevier, vol. 18(1), pages 167-181, January. [Downloadable!] (restricted)
  13. Graham Elliott, 1995. "Tests for the Correct Specification of Cointegrating Vectors and the Error Correction Model," University of California at San Diego, Economics Working Paper Series 95-42, Department of Economics, UC San Diego.
  14. Christopher L. Cavanagh & Graham Elliott & James Stock, 1995. "Inference in Models with Nearly Integrated Regressors," University of California at San Diego, Economics Working Paper Series 95-29, Department of Economics, UC San Diego.
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  15. Kugler, Peter, 1990. "The term structure of Euro interest rates and rational expectations," Journal of International Money and Finance, Elsevier, vol. 9(2), pages 234-244, June. [Downloadable!] (restricted)
  16. Campbell, John Y & Shiller, Robert J, 1991. "Yield Spreads and Interest Rate Movements: A Bird's Eye View," Review of Economic Studies, Blackwell Publishing, vol. 58(3), pages 495-514, May. [Downloadable!] (restricted)
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  17. Campbell, John Y & Shiller, Robert J, 1987. "Cointegration and Tests of Present Value Models," Journal of Political Economy, University of Chicago Press, vol. 95(5), pages 1062-88, October. [Downloadable!] (restricted)
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  18. Bradley, Michael G. & Lumpkin, Stephen A., 1992. "The Treasury Yield Curve as a Cointegrated System," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 27(03), pages 449-463, September. [Downloadable!]
  19. Graham Elliott, 1998. "On the Robustness of Cointegration Methods when Regressors Almost Have Unit Roots," Econometrica, Econometric Society, vol. 66(1), pages 149-158, January.
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  20. Johansen, Soren, 1991. "Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models," Econometrica, Econometric Society, vol. 59(6), pages 1551-80, November. [Downloadable!] (restricted)
  21. MacDonald, Ronald & Speight, Alan E H, 1991. "The Term Structure of Interest Rates under Rational Expectations: Some International Evidence," Applied Financial Economics, Taylor and Francis Journals, vol. 1(4), pages 211-21, December. [Downloadable!] (restricted)
  22. Luukkonen, Ritva & Ripatti, Antti & Saikkonen, Pentti, 1999. "Testing for a Valid Normalization of Cointegrating Vectors in Vector Autoregressive Processes," Journal of Business & Economic Statistics, American Statistical Association, vol. 17(2), pages 195-204, April.
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  24. Taylor, Mark P, 1992. "Modelling the Yield Curve," Economic Journal, Royal Economic Society, vol. 102(412), pages 524-37, May. [Downloadable!] (restricted)
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  25. repec:cup:etheor:v:8:y:1992:i:1:p:1-27 is not listed on IDEAS
  26. repec:cup:etheor:v:11:y:1995:i:5:p:1131-47 is not listed on IDEAS
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  28. Horvath, Michael T.K. & Watson, Mark W., 1995. "Testing for Cointegration When Some of the Cointegrating Vectors are Prespecified," Econometric Theory, Cambridge University Press, vol. 11(05), pages 984-1014, October. [Downloadable!]
  29. Pagan, A.R. & Hall, A.D. & Martin, V., 1995. "Modelling the Term Structure," Papers 284, Australian National University - Department of Economics.
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  1. 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. [Downloadable!]
    Other versions:
  2. Silva Lopes, Artur C. B. da & Monteiro, Olga Susana, 2008. "Short and long run tests of the expectations hypothesis: the Portuguese case," MPRA Paper 12001, University Library of Munich, Germany. [Downloadable!]
  3. Lucio Sarno & Daniel L. Thornton, 2002. "The dynamic relationship between the federal funds rate and the Treasury bill rate: an empirical investigation," Working Papers 2000-032, Federal Reserve Bank of St. Louis. [Downloadable!]
    Other versions:
  4. repec:bep:sndecm:11:2007:1:1376-1376 is not listed on IDEAS
  5. 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. [Downloadable!]
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