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Testing for the Cointegrating Rank of a Vector Autoregressive Process with Uncertain Deterministic Trend Term

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  • Matei Demetrescu
  • Helmut Luetkepohl
  • Pentti Saikkonen

Abstract

When applying Johansen's procedure for determining the cointegrating rank to systems of variables with linear deterministic trends, there are two possible tests to choose from. One test allows for a trend in the cointegration relations and the other one restricts the trend to be orthogonal to the cointegration relations. The first test is known to have reduced power relative to the second one if there is in fact no trend in the cointegration relations, whereas the second one is based on a misspecified model if the linear trend is not orthogonal to the cointegration relations. Hence, the treatment of the linear trend term is crucial for the outcome of the rank determination procedure. We compare two alternative testing strategies which are applicable if there is uncertainty regarding the proper trend specification. In the first one a specific cointegrating rank is rejected if one of the two tests rejects and in the second one the trend term is decided upon by a pretest. The first strategy is shown to be preferable in applied work.

Suggested Citation

  • Matei Demetrescu & Helmut Luetkepohl & Pentti Saikkonen, 2008. "Testing for the Cointegrating Rank of a Vector Autoregressive Process with Uncertain Deterministic Trend Term," Economics Working Papers ECO2008/24, European University Institute.
    • Handle: RePEc:eui:euiwps:eco2008/24
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    5. Chevillon, Guillaume, 2012. "Local-Explosive Approximations to Null Distributions of the Johansen Cointegration Test, with an Application to Cyclical Concordance in the Euro Area," ESSEC Working Papers WP1210, ESSEC Research Center, ESSEC Business School.
    6. Jacques Jaussaud & Serge Rey, 2012. "Long‐Run Determinants Of Japanese Exports To China And The United States: A Sectoral Analysis," Pacific Economic Review, Wiley Blackwell, vol. 17(1), pages 1-28, February.
    7. Jacques Jaussaud & Serge Rey, 2009. "Long-Run Determinants of Japanese Import Flows from USA and China : A Sectoral Approach," Working Papers hal-01880360, HAL.
    8. Itkonen, Juha V.A., 2012. "Problems estimating the carbon Kuznets curve," Energy, Elsevier, vol. 39(1), pages 274-280.
    9. Izunna Anyikwa & Micheal Brookes & Pierre Le Roux, 2018. "African stock markets integration: an analysis of the relationship between major stock markets in Africa," Working Papers 1812, Department of Economics, Nelson Mandela University, revised Mar 2018.

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    More about this item

    Keywords

    Cointegration analysis; likelihood ratio test; vector autoregressive model; vector error correction model;
    All these keywords.

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models

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