Methods for Measuring Expectations and Uncertainty in Markov-Switching Models

Francesco Bianchi

No 9705, CEPR Discussion Papers from C.E.P.R. Discussion Papers

Abstract: I develop a toolbox to analyze the properties of multivariate Markov-switching models. I first derive analytical formulas for the evolution of first and second moments, taking into account the possibility of regime changes. The formulas are then used to characterize the evolution of expectations and uncertainty, the propagation of the shocks, the contribution of the shocks to the overall volatility, and the welfare implications of regime changes in general equilibrium models. Then, I show how the methods can be used to capture the link between uncertainty and the state of the economy. Finally, I generalize Campbell's VAR implementation of Campbell and Shiller's present value decomposition to allow for parameter instability. The applications reveal the importance of taking into account the effects of regime changes on agents' expectations, welfare, and uncertainty. All results are derived analytically, do not require numerical integration, and are therefore suitable for structural estimation.

Keywords: Bayesian methods; Dsge; Impulse responses; Markov-switching; Uncertainty; Var; Welfare (search for similar items in EconPapers)
JEL-codes: C11 C32 E31 E52 G12 (search for similar items in EconPapers)
Date: 2013-10
New Economics Papers: this item is included in nep-ecm, nep-mac and nep-ore
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Citations: View citations in EconPapers (5)

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Journal Article: Methods for measuring expectations and uncertainty in Markov-switching models (2016)
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