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The persistent–transitory representation for earnings processes

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  • Mette Ejrnæs
  • Martin Browning

Abstract

We consider the decomposition of shocks to a dynamic process into a persistent and a transitory component. Without additional assumptions (such as zero correlation) the decomposition of shocks into a persistent and transitory component is indeterminate. The assumption that is conventional in the earnings literature is that there is no correlation. The Beveridge–Nelson decomposition that is widely used in time series analysis assumes a perfect correlation. Without restrictions on the correlation, the persistent‐transitory decomposition is only set‐identified. For reasonable autoregressive moving average (ARMA) parameters the bounds for widely used objects of interest are very wide. We illustrate that these disquieting findings are of considerable practical importance, using a sample of male workers drawn from the Panel Study of Income Dynamics (PSID).

Suggested Citation

  • Mette Ejrnæs & Martin Browning, 2014. "The persistent–transitory representation for earnings processes," Quantitative Economics, Econometric Society, vol. 5(3), pages 555-581, November.
    • Handle: RePEc:wly:quante:v:5:y:2014:i:3:p:555-581
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    Cited by:

    1. Magnac, Thierry & Roux, Sébastien, 2021. "Heterogeneity and wage inequalities over the life cycle," European Economic Review, Elsevier, vol. 134(C).
    2. Hospido, Laura, 2015. "Wage dynamics in the presence of unobserved individual and job heterogeneity," Labour Economics, Elsevier, vol. 33(C), pages 81-93.
    3. Carneiro, Anabela & Portugal, Pedro & Raposo, Pedro & Rodrigues, Paulo M.M., 2023. "The persistence of wages," Journal of Econometrics, Elsevier, vol. 233(2), pages 596-611.
    4. Ben-Moshe, Dan, 2018. "Identification Of Joint Distributions In Dependent Factor Models," Econometric Theory, Cambridge University Press, vol. 34(1), pages 134-165, February.
    5. Sarah Meyer & Mark Trede, 2016. "Explosive earnings dynamics: Whoever has will be given more," CQE Working Papers 4716, Center for Quantitative Economics (CQE), University of Muenster.
    6. Ma, Qingyin & Stachurski, John & Toda, Alexis Akira, 2022. "Unbounded dynamic programming via the Q-transform," Journal of Mathematical Economics, Elsevier, vol. 100(C).
    7. Christian A. Stoltenberg & Swapnil Singh, 2020. "Consumption insurance with advance information," Quantitative Economics, Econometric Society, vol. 11(2), pages 671-711, May.
    8. Toda, Alexis Akira, 2017. "Huggett economies with multiple stationary equilibria," Journal of Economic Dynamics and Control, Elsevier, vol. 84(C), pages 77-90.

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