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Combining sign and parametric restrictions in SVARs by Givens Rotations


  • Lance A. Fisher

    (Macquarie University)

  • Hyeon-seung Huh

    (Yonsei University)


This paper develops a method for combining sign and parametric restrictions in SVARs by means of Givens matrices. The Givens matrix is used to rotate an initial set of orthogonal shocks in the SVAR. Parametric restrictions are imposed on the Givens matrix in a manner which utilises its properties. This gives rise to a system of equations which can be solved recursively for the ¡®angles¡¯ in the constituent Givens matrices to enforce the parametric restrictions. The method is applied to several identifications which involve a combination of sign restrictions, and long-run and/or contemporaneous restrictions in Peersman¡¯s (2005) SVAR for the US economy. The method is compared to the recently developed method of Aries, Rubio-Ramirez and Waggoner (2018) which combines zero and sign restrictions.

Suggested Citation

  • Lance A. Fisher & Hyeon-seung Huh, 2018. "Combining sign and parametric restrictions in SVARs by Givens Rotations," Working papers 2018rwp-122, Yonsei University, Yonsei Economics Research Institute.
  • Handle: RePEc:yon:wpaper:2018rwp-122

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    References listed on IDEAS

    1. Uhlig, Harald, 2005. "What are the effects of monetary policy on output? Results from an agnostic identification procedure," Journal of Monetary Economics, Elsevier, vol. 52(2), pages 381-419, March.
    2. Renée Fry & Adrian Pagan, 2011. "Sign Restrictions in Structural Vector Autoregressions: A Critical Review," Journal of Economic Literature, American Economic Association, vol. 49(4), pages 938-960, December.
    3. Juan F. Rubio-Ramírez & Daniel F. Waggoner & Tao Zha, 2010. "Structural Vector Autoregressions: Theory of Identification and Algorithms for Inference," Review of Economic Studies, Oxford University Press, vol. 77(2), pages 665-696.
    4. Gert Peersman, 2005. "What caused the early millennium slowdown? Evidence based on vector autoregressions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 20(2), pages 185-207.
    5. Lance A. Fisher & Hyeon‐Seung Huh & Adrian R. Pagan, 2016. "Econometric Methods for Modelling Systems With a Mixture of i(1) and i(0) Variables," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 31(5), pages 892-911, August.
    6. Canova, Fabio & Nicolo, Gianni De, 2002. "Monetary disturbances matter for business fluctuations in the G-7," Journal of Monetary Economics, Elsevier, vol. 49(6), pages 1131-1159, September.
    7. Haberis, Alex & Sokol, Andrej, 2014. "A procedure for combining zero and sign restrictions in aVAR-identification scheme," LSE Research Online Documents on Economics 58077, London School of Economics and Political Science, LSE Library.
    8. repec:wly:emetrp:v:86:y:2018:i:2:p:685-720 is not listed on IDEAS
    9. 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.
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    More about this item


    structural vector autoregressions; sign and parametric restrictions; Givens rotations; QR decomposition;

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

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