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Testing for time-varying loadings in dynamic factor models
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Testing for time-varying loadings in dynamic factor models

Author

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  • Jeroen V.K. Rombouts
  • Jakob Guldbæk Mikkelsen

    (Aarhus University and CREATES)

Abstract

In this paper we develop a test for time-varying factor loadings in factor models. The test is simple to compute and is constructed from estimated factors and residuals using the principal components estimator. The hypothesis is tested by regressing the squared residuals on the squared factors. The squared correlation coefficient times the sample size has a limiting chi-squared distribution. The test can be made robust to serial correlation in the idiosyncratic errors. We find evidence for factor loadings variance in over half of the variables in a dataset for the US economy, while there is evidence of time-varying loadings on the risk factors underlying portfolio returns for around 80% of the portfolios.

Suggested Citation

  • Jeroen V.K. Rombouts & Jakob Guldbæk Mikkelsen, 2017. "Testing for time-varying loadings in dynamic factor models," CREATES Research Papers 2017-22, Department of Economics and Business Economics, Aarhus University.
    • Handle: RePEc:aah:create:2017-22
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    References listed on IDEAS

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    5. Ben S. Bernanke & Jean Boivin & Piotr Eliasz, 2005. "Measuring the Effects of Monetary Policy: A Factor-Augmented Vector Autoregressive (FAVAR) Approach," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 120(1), pages 387-422.
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    7. Alessi, Lucia & Barigozzi, Matteo & Capasso, Marco, 2010. "Improved penalization for determining the number of factors in approximate factor models," Statistics & Probability Letters, Elsevier, vol. 80(23-24), pages 1806-1813, December.
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    Cited by:

    1. Riccardo Borghi & Eric Hillebrand & Jakob Mikkelsen & Giovanni Urga, 2018. "The dynamics of factor loadings in the cross-section of returns," CREATES Research Papers 2018-38, Department of Economics and Business Economics, Aarhus University.

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    More about this item

    Keywords

    Factor models; principal components; LM test;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models

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