# Semi-global solutions to DSGE models: perturbation around a deterministic path

*Viktors Ajevskis* ()

*Studies in Nonlinear Dynamics & Econometrics*, 2017, vol. 21, issue 2, 28

**Abstract:**
This study proposes an approach based on a perturbation technique to construct global solutions to dynamic stochastic general equilibrium models (DSGE). The main idea is to expand a solution in a series of powers of a small parameter scaling the uncertainty in the economy around a solution to the deterministic model, i.e. the model where the volatility of the shocks vanishes. If a deterministic path is global in state variables, then so are the constructed solutions to the stochastic model, whereas these solutions are local in the scaling parameter. Under the assumption that a deterministic path is already known the higher order terms in the expansion are obtained recursively by solving linear rational expectations models with time-varying parameters. The present work also proposes a method rested on backward recursion for solving general systems of linear rational expectations models with time-varying parameters and determines the conditions under which the solutions of the method exist.

**Keywords:** backward induction; DSGE; global solution; perturbation; time-varying parameters (search for similar items in EconPapers)

**Date:** 2017

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**Related works:**

Working Paper: Semi-Global Solutions to DSGE Models: Perturbation around a Deterministic Path (2015)

Working Paper: Semi-Global Solutions to DSGE Models: Perturbation around a Deterministic Path (2015)

Working Paper: Semi-Global Solutions to DSGE Models: Perturbation around a Deterministic Path (2014)

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