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Measuring the Effects of a Shock to Monetary Policy - Humboldt ...

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2 Bayesian FAVARs with Agnostic Identification<br />

Contents<br />

1 Introduction 4<br />

2 Literature 7<br />

3 Dynamic Fac<strong>to</strong>r Models 11<br />

4 The Econometric Framework 16<br />

4.1 FAVARs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16<br />

4.2 FAVAR Identification . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19<br />

4.3 Estimation Procedure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21<br />

4.3.1 Generalized Dynamic Fac<strong>to</strong>r Model . . . . . . . . . . . . . . . . . . 21<br />

4.3.2 Two-Step Estimation . . . . . . . . . . . . . . . . . . . . . . . . . . 22<br />

4.3.3 Likelihood-Based Estimation . . . . . . . . . . . . . . . . . . . . . . 23<br />

4.3.4 Markov Chain Monte Carlo . . . . . . . . . . . . . . . . . . . . . . 23<br />

4.3.5 The Gibbs Sampler . . . . . . . . . . . . . . . . . . . . . . . . . . . 24<br />

5 The Econometric Model 25<br />

5.1 The Bayesian Approach versus <strong>the</strong> Frequentists Approach . . . . . . . . . 25<br />

5.2 State-Space Representation . . . . . . . . . . . . . . . . . . . . . . . . . . 26<br />

5.3 Inference . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29<br />

6 Structural FAVARs 33<br />

6.1 Identification <strong>of</strong> <strong>Shock</strong>s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33<br />

6.2 Identification Schemes in SVARs . . . . . . . . . . . . . . . . . . . . . . . . 34<br />

6.3 Identification in DFMs and FAVARs . . . . . . . . . . . . . . . . . . . . . 34<br />

7 Empirical Results 38<br />

8 Discussion 49<br />

9 Summary and Concluding Remarks 51

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