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A procedure for combining zero and sign restrictions in a VAR-identification scheme

  • Alex Haberis

    ()

    (Bank of England
    Centre for Macroeconomics (CFM))

  • Andrej Sokol

    ()

    (Bank of England)

In this paper we describe a procedure for implementing zero restrictions within the context of a sign restrictions identification scheme for VARs. The procedure introduces an additional step into the algorithm outlined in Fry and Pagan (2011) and Rubio-Ramirez et al. (2006) for implementing sign restrictions. This extra step involves rotating a candidate identification matrix using Givens rotation matrices to introduce zero restrictions. We then check whether the elements of the candidate matrix satisfy the sign restrictions as usual. We illustrate how our procedure works by generating artificial data from the theoretical model of An and Schorfheide (2007), which implies certain restrictions on the impact of its structural shocks on the model's endogenous variables. We exploit our knowledge of that pattern to identify structural shocks from the reduced-form errors of a VAR estimated on the simulated data.

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File URL: http://www.centreformacroeconomics.ac.uk/Discussion-Papers/2014/CFMDP2014-10-Paper.pdf
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Paper provided by Centre for Macroeconomics (CFM) in its series Discussion Papers with number 1410.

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Length: 14 pages
Date of creation: Jun 2014
Date of revision:
Handle: RePEc:cfm:wpaper:1410
Contact details of provider: Web page: http://www.centreformacroeconomics.ac.uk/

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  1. Juan Rubio-Ramirez & Daniel Waggoner & Jonas Arias, 2014. "Inference Based on SVARs Identified with Sign and Zero Restrictions: Theory and Applications," 2014 Meeting Papers 1199, Society for Economic Dynamics.
  2. Sungbae An & Frank Schorfheide, 2007. "Bayesian Analysis of DSGE Models—Rejoinder," Econometric Reviews, Taylor & Francis Journals, vol. 26(2-4), pages 211-219.
  3. Ren�e Fry & Adrian Pagan, 2011. "Sign Restrictions in Structural Vector Autoregressions: A Critical Review," Journal of Economic Literature, American Economic Association, vol. 49(4), pages 938-60, December.
  4. An, Sungbae & Schorfheide, Frank, 2005. "Bayesian Analysis of DSGE Models," CEPR Discussion Papers 5207, C.E.P.R. Discussion Papers.
  5. Federico Ravenna, 2005. "Vector Autoregressions and Reduced Form Representations of DSGE Models," 2005 Meeting Papers 841, Society for Economic Dynamics.
  6. Jesús Fernández-Villaverde & Juan Francisco Rubio-Ramírez & Thomas Sargent, 2005. "A, B, C’s, (and D’s) for understanding VARs," Working Paper 2005-09, Federal Reserve Bank of Atlanta.
  7. Christiane Baumeister & Luca Benati, 2013. "Unconventional Monetary Policy and the Great Recession: Estimating the Macroeconomic Effects of a Spread Compression at the Zero Lower Bound," International Journal of Central Banking, International Journal of Central Banking, vol. 9(2), pages 165-212, June.
  8. Ivana Komunjer & Serena Ng, 2011. "Dynamic Identification of Dynamic Stochastic General Equilibrium Models," Econometrica, Econometric Society, vol. 79(6), pages 1995-2032, November.
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