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The exact linkage between the Beveridge-Nelson decomposition and other permanent-transitory decompositions

Author

Listed:
  • Giacomo Sbrana

    (Pôle Finance Responsable - Rouen Business School - Rouen Business School)

Abstract

The econometric literature has recently focused attention on the relationship between the Beveridge-Nelson decomposition and unobserved components processes when decomposing time series into permanent and transitory shocks. This paper shows the existence of an algebraic linkage between reduced and structural forms parameters of some unobserved components processes. Results allow measuring how close standard unobserved components processes and unrestricted ARIMA models are regardless of the number of structural/reduced form parameters. Results are provided when the reduced forms are ARIMA(2,1,2) and ARIMA(0,2,2). For the latter, the exact relation between the Hodrick-Prescott filter and the IMA(2,2) reduced form is also shown. --------------------------------------------------------------------------------

Suggested Citation

  • Giacomo Sbrana, 2013. "The exact linkage between the Beveridge-Nelson decomposition and other permanent-transitory decompositions," Post-Print hal-00779344, HAL.
  • Handle: RePEc:hal:journl:hal-00779344
    DOI: 10.1016/j.econmod.2012.09.039
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    Cited by:

    1. Murasawa, Yasutomo, 2015. "The multivariate Beveridge–Nelson decomposition with I(1) and I(2) series," Economics Letters, Elsevier, vol. 137(C), pages 157-162.
    2. Riccardo De Bonis & Andrea Silvestrini, 2014. "The Italian financial cycle: 1861-2011," Cliometrica, Journal of Historical Economics and Econometric History, Association Française de Cliométrie (AFC), vol. 8(3), pages 301-334, September.

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    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

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