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Econometric Issues when Modelling with a Mixture of I(1) and I(0) Variables

  • Lance A. Fisher

    (Macquarie University)

  • Hyeon-seung Huh

    (Yonsei University)

  • Adrian R. Pagan

    (University of Sydney)

This paper considers structural models when both I(1) and I(0) variables are present. It is necessary to extend the traditional classification of shocks as permanent and transitory, and we do this by introducing a mixed shock. The extra shocks coming from introducing I(0) variables into a system are then classified as either mixed or transitory. Conditions are derived upon the nature of the SVAR in the event that these extra shocks are transitory. We then analyse what happens when there are mixed shocks, finding that it changes a number of ideas that have become established from the cointegration literature. The ideas are illustrated using a well-known SVAR where there are mixed shocks. This SVAR is re-formulated so that the extra shocks coming from the introduction of I(0) variables do not affect relative prices in the long-run and it is found that this has major implications for whether there is a price puzzle. It is also shown how to handle long-run parametric restrictions when some shocks are identified using sign restrictions.

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Paper provided by Yonsei University, Yonsei Economics Research Institute in its series Working papers with number 2013rwp-61.

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Length: 25pages
Date of creation: Dec 2013
Date of revision:
Handle: RePEc:yon:wpaper:2013rwp-61
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  1. Matthew Shapiro & Mark Watson, 1988. "Sources of Business Cycles Fluctuations," NBER Chapters, in: NBER Macroeconomics Annual 1988, Volume 3, pages 111-156 National Bureau of Economic Research, Inc.
  2. Canova, Fabio & Gambetti, Luca & Pappa, Evi, 2006. "The Structural Dynamics of Output Growth and Inflation: Some International Evidence," CEPR Discussion Papers 5878, C.E.P.R. Discussion Papers.
  3. Gert Peersman, 2005. "What caused the early millennium slowdown? Evidence based on vector autoregressions," Bank of England working papers 272, Bank of England.
  4. 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.
  5. Pagan, A.R. & Pesaran, M. Hashem, 2008. "Econometric analysis of structural systems with permanent and transitory shocks," Journal of Economic Dynamics and Control, Elsevier, vol. 32(10), pages 3376-3395, October.
  6. Ren´┐Że 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.
  7. Ben Bernanke & Jean Boivin & Piotr S. Eliasz, 2005. "Measuring the Effects of Monetary Policy: A Factor-augmented Vector Autoregressive (FAVAR) Approach," The Quarterly Journal of Economics, MIT Press, vol. 120(1), pages 387-422, January.
  8. Frank Smets, 1997. "Measuring monetary policy shocks in France, Germany and Italy: The role of the exchange rate," BIS Working Papers 42, Bank for International Settlements.
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