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Vector Autoregressive Processes With Nonlinear Time Trends In Cointegrating Relations

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  • Ripatti, Antti
  • , Pentti

Abstract

We extend the conventional cointegrated VAR model to allow for general nonlinear deterministic trends. These nonlinear trends can be used to model gradual structural changes in the intercept term of the cointegrating relations. A general asymptotic theory of estimation and statistical inference is reviewed and a diagnostic test for the correct specification of an employed nonlinear trend is developed. The methods are applied to Finnish interest-rate data. A smooth level shift of the logistic form between the own-yield of broad money and the short-term money market rate is found appropriate for these data. The level shift is motivated by the deregulation of issuing certificates of deposit and its inclusion in the model solves the puzzle of the “missing cointegration vector” found in a previous study.

Suggested Citation

  • Ripatti, Antti & , Pentti, 2001. "Vector Autoregressive Processes With Nonlinear Time Trends In Cointegrating Relations," Macroeconomic Dynamics, Cambridge University Press, vol. 5(4), pages 577-597, September.
    • Handle: RePEc:cup:macdyn:v:5:y:2001:i:04:p:577-597_02
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    Cited by:

    1. Sébastien Morin, 2004. "Ruptures structurelles sur les marchés action et obligataire américains : preuve empirique à partir de la méthode de Saikkönen," Economie & Prévision, La Documentation Française, vol. 166(5), pages 87-98.
    2. Calza, Alessandro & Manrique, Marta & Sousa, Joao, 2006. "Credit in the euro area: An empirical investigation using aggregate data," The Quarterly Review of Economics and Finance, Elsevier, vol. 46(2), pages 211-226, May.
    3. Christina Anderl & Guglielmo Maria Caporale, 2021. "Testing for UIP: Nonlinearities, Monetary Announcements and Interest Rate Expectations," CESifo Working Paper Series 9027, CESifo.
    4. Changli He & Timo Terasvirta & Andres Gonzalez, 2009. "Testing Parameter Constancy in Stationary Vector Autoregressive Models Against Continuous Change," Econometric Reviews, Taylor & Francis Journals, vol. 28(1-3), pages 225-245.
    5. Sébastien Morin, 2004. "Ruptures structurelles sur les marchés action et obligataire américains : preuve empirique à partir de la méthode de Saikkönen," Économie et Prévision, Programme National Persée, vol. 166(5), pages 87-98.
    6. Holt, Matthew T. & Teräsvirta, Timo, 2020. "Global hemispheric temperatures and co-shifting: A vector shifting-mean autoregressive analysis," Journal of Econometrics, Elsevier, vol. 214(1), pages 198-215.
    7. Hannu KOSKINEN, 2010. "Modelling of Structural Changes in Demand for Money Cointegration Relations," EcoMod2004 330600082, EcoMod.
    8. Christina Anderl & Guglielmo Maria Caporale, 2022. "Testing for UIP-Type Relationships: Nonlinearities, Monetary Announcements and Interest Rate Expectations," Open Economies Review, Springer, vol. 33(4), pages 705-749, September.
    9. Hannu Koskinen, 2004. "Modelling of Structural Changes in Demand for Money Cointegration Relations," Finnish Economic Papers, Finnish Economic Association, vol. 17(2), pages 63-72, Autumn.
    10. Juhl, Ted & Xiao, Zhijie, 2005. "A nonparametric test for changing trends," Journal of Econometrics, Elsevier, vol. 127(2), pages 179-199, August.
    11. Marçal, Emerson Fernandes & Pereira, Pedro L. Valls, 2012. "Evaluating the existence of structural change in the brazilian term structure of interest: evidence based on cointegration models with structural break," Textos para discussão 314, FGV EESP - Escola de Economia de São Paulo, Fundação Getulio Vargas (Brazil).
    12. He, Changli & Sandberg, Rickard, 2005. "Inference for Unit Roots in a Panel Smooth Transition Autoregressive Model where the Time Dimension is Fixed," SSE/EFI Working Paper Series in Economics and Finance 581, Stockholm School of Economics, revised 18 Feb 2005.

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