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Exact present solution with consistent future approximation: a gridless algorithm to solve stochastic dynamic models

Den Haan, Wouter J., Kobielarz, Michal L. and Rendahl, Pontus (2015) Exact present solution with consistent future approximation: a gridless algorithm to solve stochastic dynamic models. CFM discussion paper series (CFM-DP2015-36). Centre For Macroeconomics, London, UK.

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Abstract

This paper proposes an algorithm that finds model solutions at a particular point in the state space by solving a simple system of equations. The key step is to characterize future behavior with a Taylor series expansion of the current period’s behavior around the contemporaneous values for the state variables. Since current decisions are solved from the original model equations, the solution incorporates nonlinearities and uncertainty. The algorithm is used to solve the model considered in Coeurdacier, Rey, and Winant (2011), which is a challenging model because it has no steady state and uncertainty is necessary to keep the model well behaved. We show that our algorithm can generate accurate solutions even when the model series are quite volatile. The solutions generated by the risky-steady-state algorithm proposed in Coeurdacier, Rey, and Winant (2011), in contrast, is shown to be not accurate

Item Type: Monograph (Discussion Paper)
Official URL: http://www.centreformacroeconomics.ac.uk/Home.aspx
Additional Information: © 2015 The Authors
Divisions: Centre for Macroeconomics
Subjects: H Social Sciences > HB Economic Theory
JEL classification: C - Mathematical and Quantitative Methods > C6 - Mathematical Methods and Programming > C63 - Computational Techniques
E - Macroeconomics and Monetary Economics > E1 - General Aggregative Models > E10 - General
E - Macroeconomics and Monetary Economics > E2 - Consumption, Saving, Production, Employment, and Investment > E23 - Production
F - International Economics > F4 - Macroeconomic Aspects of International Trade and Finance > F41 - Open Economy Macroeconomics
Sets: Research centres and groups > Centre for Macroeconomics
Date Deposited: 15 Dec 2017 09:44
Last Modified: 20 Sep 2019 23:23
URI: http://eprints.lse.ac.uk/id/eprint/86278

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