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Econometric Methods for Modelling Systems with a Mixture of I(1) and I(0) Variables

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  • Hyeon-Seung Huh
  • Lance Fisher
  • Adrian Pagan

Abstract

This paper considers structural models when both I(1) and I(0) variables are present. The structural shocks associated with either set of variables could be permanent or transitory. We therefore classify the shocks as (P1,P0) and (T1,T0), where P/T distinguishes permanent and transitory, while 1/0 means they are attached to either I(1) or I(0) variables. We first analyse what happens when there are P0 shocks. This is done using a sequence of examples and shows a variety of outcomes that differ from standard results in the cointegration literature. Then conditions are derived upon the nature of the SVAR in the event that T0 (and no P0) shocks are present. Following this a general method that allows for either P0 or T0 shocks is described and related to the literature that treats I(0) variables as cointegrating with themselves. Finally, we turn to an examination of a well-known empirical SVAR where there are P0 shocks. This SVAR is re-formulated so that the extra shock coming from the introduction of an I(0) variable does not affect relative prices in the long-run i.e. it is T0, 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 in the presence of P0 shocks when some shocks are identified using sign restrictions.Please see attachment.Please see attachment.

Suggested Citation

  • Hyeon-Seung Huh & Lance Fisher & Adrian Pagan, 2014. "Econometric Methods for Modelling Systems with a Mixture of I(1) and I(0) Variables," EcoMod2014 7225, EcoMod.
    • Handle: RePEc:ekd:006356:7225
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    Cited by:

    1. Thomas H. W. Ziesemer, 2022. "Foreign R&D spillovers to the USA and strategic reactions," Applied Economics, Taylor & Francis Journals, vol. 54(37), pages 4274-4291, August.
    2. Fisher, Lance A. & Huh, Hyeon-seung, 2019. "An IV framework for combining sign and long-run parametric restrictions in SVARs," Journal of Macroeconomics, Elsevier, vol. 61(C), pages 1-1.
    3. Ivan Mendieta-Munoz & Mengheng Li, 2019. "The Multivariate Simultaneous Unobserved Compenents Model and Identification via Heteroskedasticity," Working Paper Series, Department of Economics, University of Utah 2019_06, University of Utah, Department of Economics.
    4. Alemu Lambamo Hawitibo, 2023. "Explaining macroeconomic fluctuations in Ethiopia: the role of monetary and fiscal policies," Economic Change and Restructuring, Springer, vol. 56(2), pages 1033-1061, April.
    5. Houari, Oussama, 2022. "Uncertainty shocks and business cycles in the US: New insights from the last three decades," Economic Modelling, Elsevier, vol. 109(C).
    6. Sam Ouliaris & Adrian Pagan, 2016. "A Method for Working with Sign Restrictions in Structural Equation Modelling," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 78(5), pages 605-622, October.
    7. Mardi Dungey & Denise R. Osborn, 2020. "The Gains from Catch‐up for China and the USA: An Empirical Framework," The Economic Record, The Economic Society of Australia, vol. 96(314), pages 350-365, September.
    8. John Foster, 2017. "Prior Commitment and Uncertainty in Complex Economic Systems: Reinstating History in the Core of Economic Analysis," Scottish Journal of Political Economy, Scottish Economic Society, vol. 64(4), pages 392-418, September.
    9. Murasawa Yasutomo, 2022. "Bayesian multivariate Beveridge–Nelson decomposition of I(1) and I(2) series with cointegration," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 26(3), pages 387-415, June.
    10. S Ouliaris & A R Pagan, 2015. "A New Method for Working With Sign Restrictions in SVARs," NCER Working Paper Series 105, National Centre for Econometric Research.
    11. Fisher Lance A. & Huh Hyeon-seung, 2020. "Combining sign and parametric restrictions in SVARs by utilising Givens rotations," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 24(3), pages 1-19, June.
    12. 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.
    13. Tommy Wu & Michael Cheng & Ken Wong, 2017. "Bayesian analysis of Hong Kong's housing price dynamics," Pacific Economic Review, Wiley Blackwell, vol. 22(3), pages 312-331, August.
    14. THW Ziesemer, 2020. "Japan’s Productivity and GDP Growth: The Role of Private, Public and Foreign R&D 1967–2017," Economies, MDPI, vol. 8(4), pages 1-25, September.

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    Keywords

    Please see attachment.; Macroeconometric modeling; Macroeconometric modeling;
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