2009
DOI: 10.2139/ssrn.1348552
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Estimating US Monetary Policy Shocks Using a Factor-Augmented Vector Autoregression: An EM Algorithm Approach

Abstract: Economy-wide e¤ects of shocks to the US federal funds rate are estimated in a state space model with 120 US macroeconomic and …nancial time series driven by the dynamics of the federal funds rate and a few dynamic factors. This state space system is denoted a factor-augmented VAR (FAVAR) by Bernanke et al. (2005). I estimate the FAVAR by the fully parametric one-step EM algorithm as an alternative to the two-step principal component method and the one-step Bayesian method in Bernanke et al. (2005). The EM algo… Show more

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Cited by 15 publications
(39 citation statements)
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“…Straightforward adaptation of their expressions to the missing data case results in the restricted estimate given by vecΛrj+1=vecΛuj+1+t=1Tdouble-struckEθjftft|ΩTRjHΛ×()HΛ()t=1TEitalicθ()j[]ftfttrue|ΩTR()jHΛ1κΛHΛvecΛuj+1where Λ u ( j + 1) is the unrestricted estimate given by expression . Restrictions on the parameters in the transition equation H A vec( A ) = κ A can be imposed in an analogous manner (see Bork, )…”
Section: Econometric Frameworkmentioning
confidence: 97%
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“…Straightforward adaptation of their expressions to the missing data case results in the restricted estimate given by vecΛrj+1=vecΛuj+1+t=1Tdouble-struckEθjftft|ΩTRjHΛ×()HΛ()t=1TEitalicθ()j[]ftfttrue|ΩTR()jHΛ1κΛHΛvecΛuj+1where Λ u ( j + 1) is the unrestricted estimate given by expression . Restrictions on the parameters in the transition equation H A vec( A ) = κ A can be imposed in an analogous manner (see Bork, )…”
Section: Econometric Frameworkmentioning
confidence: 97%
“…Bork () and Bork et al . () show how to modify the M‐step of Watson and Engle () in order to impose restrictions of the form H Λ vec(Λ) = κ Λ for the model given by –.…”
Section: Econometric Frameworkmentioning
confidence: 99%
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“…One of the advantages of the maximum likelihood approach, with respect to nonparametric methods based on principal components, is that it allows us to impose restrictions on the parameters in a relatively straightforward manner. Bork (2009) and Bork, Dewachter, and Houssa (2009) show how to modify the maximization step of EM algorithm described Watson and Engle (1983) in order to impose restrictions of the form H Λ vec(Λ) = κ Λ for the model described in equations (1) to (3). Bańbura and Modugno (2014) show how those restrictions can be imposed in the presence of an arbitrary pattern of missing data.…”
Section: Restrictions On the Parametersmentioning
confidence: 99%