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Detecting Common Dynamics in Transitory Components

Author

Listed:
  • Tim M Christensen

    (Yale)

  • Stan Hurn

    () (QUT)

  • Adrian Pagan

    () (QUT)

Abstract

This paper considers VAR/VECM models for variables exhibiting cointegration and common features in the transitory components. While the presence of cointegration reduces the rank of the long-run multiplier matrix, other types of common features lead to rank reduction in the short-run dynamics. These common transitory components arise when linear combination of the first differenced variables in a cointegrated VAR are white noise. This paper offers a reinterpretation of the traditional approach to testing for common feature dynamics, namely checking for a singular covariance matrix for the transitory components. Instead, the matrix of short-run coefficients becomes the focus of the testing procedure thus allowing a wide range of tests for reduced rank in parameter matrices to be potentially relevant tests of common transitory components. The performance of the different methods is illustrated in a Monte Carlo analysis which is then used to reexamine an existing empirical study. Finally, this approach is applied to analyze whether one would observe common dynamics in standard DSGE models.

Suggested Citation

  • Tim M Christensen & Stan Hurn & Adrian Pagan, 2009. "Detecting Common Dynamics in Transitory Components," NCER Working Paper Series 49, National Centre for Econometric Research.
  • Handle: RePEc:qut:auncer:2009_62
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    File URL: http://www.ncer.edu.au/papers/documents/WPNo49.pdf
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    References listed on IDEAS

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    1. Lubik, Thomas A. & Schorfheide, Frank, 2007. "Do central banks respond to exchange rate movements? A structural investigation," Journal of Monetary Economics, Elsevier, vol. 54(4), pages 1069-1087, May.
    2. Peijie Wang, 2003. "Cycles and Common Cycles in Property and Related Sectors," International Real Estate Review, Asian Real Estate Society, vol. 6(1), pages 22-42.
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    Cited by:

    1. Hecq Alain & Victor Issler João, 2012. "A Common-Feature Approach for Testing Present-Value Restrictions with Financial Data," Research Memorandum 006, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).

    More about this item

    Keywords

    Transitory components; common features; reduced rank; cointegration.;

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection

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