A Simple Algorithm for Solving Ramsey Optimal Policy with Exogenous Forcing Variables

Abstract : This algorithm extends Ljungqvist and Sargent (2012) algorithm of Stackelberg dynamic game to the case of dynamic stochastic general equilibrium models including exogenous forcing variables. It is based Anderson, Hansen, McGrattan, Sargent (1996) discounted augmented linear quadratic regulator. It adds an intermediate step in solving a Sylvester equation. Forward-looking variables are also optimally anchored on forcing variables. This simple algorithm calls for already programmed routines for Ricatti, Sylvester and Inverse matrix in Matlab and Scilab. A final step using a change of basis vector computes a vector auto regressive representation including Ramsey optimal policy rule function of lagged observable variables, when the exogenous forcing variables are not observable. C61, C62, C73, E47, E52, E61, E63.
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Contributeur : Jean-Bernard Chatelain <>
Soumis le : samedi 26 août 2017 - 19:22:24
Dernière modification le : mercredi 14 août 2019 - 01:20:04

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  • HAL Id : hal-01577606, version 1

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Jean-Bernard Chatelain, Kirsten Ralf. A Simple Algorithm for Solving Ramsey Optimal Policy with Exogenous Forcing Variables. 2017. ⟨hal-01577606v1⟩

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