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Determinacy and sunspots in a nonlinear monetary model

Author

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  • Alessandra Cornaro

    () (DISCE, Università Cattolica)

  • Anna Agliari

    () (DISCE, Università Cattolica)

Abstract

In this paper we analyze a basic sticky price model with monopolistic competition and price stickiness à la Calvo. Starting by the relations describing a general economic equilibrium model (see Woodford in Interest and Prices, Foundations of a Theory of Monetary Policy, The MIT Press, 2003), as it results from the optimizing behavior of the private agents, we provide a nonlinear model for the monetary policy analysis. This kind of model is a candidate for the existence of multiple equilibria, with a dependence of exogenous sunspots. We explore the stability of such a model combined with interest rate rules in order to investigate the determinacy of the model and we find, for some policy and elasticity parameters, the conditions under which it is possible.

Suggested Citation

  • Alessandra Cornaro & Anna Agliari, 2010. "Determinacy and sunspots in a nonlinear monetary model," DISCE - Quaderni del Dipartimento di Scienze Economiche e Sociali dises1060, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
  • Handle: RePEc:ctc:serie2:dises1060
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    Keywords

    Monetary policy; Nonlinear models; Determinacy; Sunspots;

    JEL classification:

    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium

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