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

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Bayesian FAVARs with Agnostic Identification 5<br />

sampling seems <strong>to</strong> be unfavorable.<br />

The aim <strong>of</strong> this paper is threefold. First I critically examine <strong>the</strong> result by BBE and<br />

provide an answer why <strong>the</strong>y arrive at inferior results and how one should apply this pro-<br />

cedure <strong>to</strong> receive more reasonable results. I like <strong>to</strong> combine <strong>the</strong> Bayesian FAVARs with<br />

<strong>the</strong> agnostic identification by Uhlig (2005). To my best knowledge this has not been done<br />

yet in <strong>the</strong> current literature on empirical macroeconomics. Hence I tackle <strong>the</strong> question<br />

raised above in a complete consistent Bayesian framework. Not only <strong>the</strong> fac<strong>to</strong>rs and <strong>the</strong><br />

parameters <strong>of</strong> interest are estimated with Bayesian methods, more importantly I apply<br />

<strong>the</strong> agnostic identification in order <strong>to</strong> identify <strong>the</strong> specific effects induced by contrac-<br />

tionary monetary policy. Here I try <strong>to</strong> be as precise as possible and as close as possible<br />

<strong>to</strong> <strong>the</strong> conventional wisdom. This is accomplished by setting different ”block criteria”<br />

that successively become stricter, while imposing more restrictions. This approach holds<br />

an enticing promise in that one can narrow down <strong>the</strong> space <strong>of</strong> economically reasonable<br />

dynamic reactions as accurate as <strong>the</strong> data allows. We do not have <strong>to</strong> set restrictions on<br />

only one price variable, one <strong>of</strong> <strong>the</strong> monetary aggregates and one short term interest rate<br />

as it has been applied so far and is common practice when applying sign-restrictions in<br />

<strong>the</strong> VAR framework. Having available such a large datasets, provides <strong>the</strong> possibility <strong>to</strong><br />

be more strict in imposing e.g. not only <strong>the</strong> CPI <strong>to</strong> react non-positively after a monetary<br />

policy shock but also o<strong>the</strong>r price variables that are incorporated in <strong>the</strong> estimation proce-<br />

dure. This serves <strong>the</strong> possibility <strong>to</strong> identify <strong>the</strong> structurally, reaction <strong>of</strong> <strong>the</strong> economy in<br />

an more exact manner than o<strong>the</strong>r identification approaches common in <strong>the</strong> literature on<br />

empirical macroeconomics.<br />

The second contribution and also <strong>the</strong> most time consuming one was <strong>to</strong> provide a Mat-<br />

lab code that does <strong>the</strong> estimation and identification. Here <strong>the</strong> major challenge has been<br />

<strong>to</strong> provide a code that is as efficient as possible, especially with respect <strong>to</strong> <strong>the</strong> calculating<br />

time and <strong>the</strong> memory required in a way that also students can run <strong>the</strong> program on PCs <strong>of</strong><br />

”common” capacity without waiting a week for <strong>the</strong> results. The Gibbs sampling procedure

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