2016
DOI: 10.1080/07350015.2015.1111222
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Estimation and Inference of FAVAR Models

Abstract: The factor-augmented vector autoregressive (FAVAR) model, first proposed by Bernanke, Bovin, and Eliasz (2005, QJE), is now widely used in macroeconomics and finance. In this model, observable and unobservable factors jointly follow a vector autoregressive process, which further drives the comovement of a large number of observable variables. We study the identification restrictions in the presence of observable factors. We propose a likelihood-based two-step method to estimate the FAVAR model that explicitly … Show more

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Cited by 50 publications
(62 citation statements)
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“…The relatively small number of variables in a small VAR model may not be sufficient to properly identify shocks, which increases the risk of a biased estimate (see Bai et al, 2016, for detailed review). On the other hand, including more series in a VAR model is limited because of the loss of degrees of freedom.…”
Section: Methodsmentioning
confidence: 99%
“…The relatively small number of variables in a small VAR model may not be sufficient to properly identify shocks, which increases the risk of a biased estimate (see Bai et al, 2016, for detailed review). On the other hand, including more series in a VAR model is limited because of the loss of degrees of freedom.…”
Section: Methodsmentioning
confidence: 99%
“…We start with the definition of FAVARs and show that parameter ambiguity may affect the covariance matrices of idiosyncratic shocks. At this stage, we include identification conditions from Bai et al (2015). In a next step, we modify the KF from Bork (2009) to take into account that factors are partially observable.…”
Section: Mathematical Backgroundmentioning
confidence: 99%
“…with R −1 as the inverse of matrix R. The observability of Y t imposes constraints on the shape of R and so, removes M (K + M) degrees of freedom (Bai et al 2015). Consequently, the invertible matrix R consists of the following submatrices:…”
Section: Parameter Ambiguity and Identification Restrictionsmentioning
confidence: 99%
“…Accordingly, we first estimate the unobserved factors F t nonparametrically by means of principal component analysis (PCA), and subsequently evaluate the ST-VAR conditional on the estimated factors. The two-step PC estimator does not build upon strong distributional assumptions on the factor innovations as it is the case for the two-step ML approach of Bai et al (2016) or the simultaneous estimation of observation and transition equations by means of Bayesian methods (Bernanke et al, 2005). 13 Bernanke et al (2005) document only minor performance leads of the computationally considerably more demanding Bayesian estimation by means of Gibbs sampling.…”
Section: Estimation and Identificationmentioning
confidence: 99%