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Opening the black box: structural factor models with large cross-sections

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  • Forni, Mario
  • Giannone, Domenico
  • Lippi, Marco
  • Reichlin, Lucrezia

Abstract

This paper shows how large-dimensional dynamic factor models are suitable for structural analysis. We establish sufficient conditions for identification of the structural shocks and the associated impulse response functions. In particular, we argue that, if the data follow an approximate factor structure, the “problem of fundamentalness”, which is intractable in structural VARs, can be solved provided that the impulse responses are sufficiently heterogeneous. Finally, we propose a consistent method (and n, T rates of convergence) to estimate the impulse-response functions, as well as a bootstrapping procedure for statistical inference. JEL Classification: E0, C1

Suggested Citation

  • Forni, Mario & Giannone, Domenico & Lippi, Marco & Reichlin, Lucrezia, 2007. "Opening the black box: structural factor models with large cross-sections," Working Paper Series 712, European Central Bank.
    • Handle: RePEc:ecb:ecbwps:2007712
    Note: 93468
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    More about this item

    Keywords

    dynamic factor models; fundamentalness; identification; structural VARs;
    All these keywords.

    JEL classification:

    • E0 - Macroeconomics and Monetary Economics - - General
    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General

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