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Design Limits in Regime-Switching Cases

  • Beatrice Pataracchia

    ()

This paper characterizes the derivation and the assessment of design limits in the case of a regime-switching economy. The object of the analysis on design limits is to derive the restrictions on how feedback rules, the Taylor-type rules typically used in monetary economics, affect the frequency fluctuations underlying the state variable of interest. We extend the analysis in a structured context of model uncertainty where the uncertainty is described by the presence of different potential models whose probability of occurrence and switching is given by a known and ergodic Markov Chain transition matrix. The presence of switching modifies the characteristics of design limits in two main aspects. First, when the optimal variance minimizing rule is chosen, frequency specific restrictions appear more or less stringent with the respect to the linear case depending on the probability of switching: the higher it is, the worst is the performance in terms of frequency-specific fluctuations. Second, contrary to the linear case, design limits are also affected by the policy rule so that their role switches from a constraint to an externality that the policymaker may want to take into account.

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Paper provided by Department of Economics, University of Siena in its series Department of Economics University of Siena with number 529.

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Date of creation: Mar 2008
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Handle: RePEc:usi:wpaper:529
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  1. William A. Brock & Steven N. Durlauf, 2004. "Elements of a Theory of Design Limits to Optimal Policy," Manchester School, University of Manchester, vol. 72(s1), pages 1-18, 09.
  2. William A. Brock & Steven N. Durlauf & Giacomo Rondina, 2008. "Design Limits and Dynamic Policy Analysis," NBER Working Papers 14357, National Bureau of Economic Research, Inc.
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  4. Francq, C. & Zakoian, J. -M., 2001. "Stationarity of multivariate Markov-switching ARMA models," Journal of Econometrics, Elsevier, vol. 102(2), pages 339-364, June.
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  7. Brock, William A. & Durlauf, Steven N., 2005. "Local robustness analysis: Theory and application," Journal of Economic Dynamics and Control, Elsevier, vol. 29(11), pages 2067-2092, November.
  8. Farmer, Roger E.A. & Waggoner, Daniel F. & Zha, Tao, 2011. "Minimal state variable solutions to Markov-switching rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 35(12), pages 2150-2166.
  9. Otrok, Christopher, 2001. "Spectral Welfare Cost Functions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(2), pages 345-67, May.
  10. Li-Lin Ku & Chien-Pai Han, 2008. "Robust testing procedures of process locations," Quality & Quantity: International Journal of Methodology, Springer, vol. 42(5), pages 579-595, October.
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  12. Pataracchia, Beatrice, 2011. "The spectral representation of Markov switching ARMA models," Economics Letters, Elsevier, vol. 112(1), pages 11-15, July.
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