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

Author

Listed:
  • Lance A Fisher

    (Macquarie University)

  • Syeon-seung Huh

    (Yonsei University)

  • Adrian Pagan

    (University of Sydney)

Abstract

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.

Suggested Citation

  • Lance A Fisher & Syeon-seung Huh & Adrian Pagan, 2013. "Econometric Issues when Modelling with a Mixture of I(1) and I(0) Variables," NCER Working Paper Series 97, National Centre for Econometric Research.
    • Handle: RePEc:qut:auncer:2013_9
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    References listed on IDEAS

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    1. Fank Smets, 1997. "Measuring Monetary Policy Shocks in France, Germany and Italy: The Role of The Exchange Rate," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 133(III), pages 597-616, September.
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    Cited by:

    1. Mardi Dungey & Denise Osborn & Mala Raghavan, 2014. "International Transmissions to Australia: The Roles of the USA and Euro Area," The Economic Record, The Economic Society of Australia, vol. 90(291), pages 421-446, December.

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    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
    • C36 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Instrumental Variables (IV) Estimation
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation

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