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Frequency-band estimation of the number of factors detecting the main business cycle shocks

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  • Marco Avarucci
  • Maddalena Cavicchioli
  • Mario Forni

Abstract

We introduce consistent estimators for the number of shocks driving large-dimensional dynamic factor models. Our estimators are functions of the eigenvalues of the spectral density matrix of the observables and can be applied to single frequencies as well as to specific frequency bands, making them suitable for disentangling shocks affecting dynamic macroeconomic models with a factor model representation. Their small-sample performance in simulations is excellent, even in estimating the number of shocks that drive medium-sized DSGE models. We apply our estimators to the FRED-QD dataset, finding that the U.S. macroeconomyis driven by two shocks: an inflationary demand shock and a deflationary supply shock

Suggested Citation

  • Marco Avarucci & Maddalena Cavicchioli & Mario Forni, 2022. "Frequency-band estimation of the number of factors detecting the main business cycle shocks," Working Papers 2022_13, Business School - Economics, University of Glasgow.
  • Handle: RePEc:gla:glaewp:2022_13
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    Keywords

    Frequency Bands; Dynamic Eigenvalue Ratio; Generalized Dynamic Factor Models; Business Cycle; Permanent Component; DSGE.;
    All these keywords.

    JEL classification:

    • E00 - Macroeconomics and Monetary Economics - - General - - - General
    • C01 - Mathematical and Quantitative Methods - - General - - - Econometrics
    • C55 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Large Data Sets: Modeling and Analysis

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