Numerical solution of dynamic equilibrium models under Poisson uncertainty

Olaf Posch and Timo Trimborn

Journal of Economic Dynamics and Control, 2013, vol. 37, issue 12, 2602-2622

Abstract: We propose a simple and powerful numerical algorithm to compute the transition process in continuous-time dynamic equilibrium models with rare events. In this paper we transform the dynamic system of stochastic differential equations into a system of functional differential equations of the retarded type. We apply the Waveform Relaxation algorithm, i.e., we provide a guess of the policy function and solve the resulting system of (deterministic) ordinary differential equations by standard techniques. For parametric restrictions, analytical solutions to the stochastic growth model and a novel solution to Lucas' endogenous growth model under Poisson uncertainty are used to compute the exact numerical error. We show how (potential) catastrophic events such as rare natural disasters substantially affect the economic decisions of households.

Keywords: Continuous-time DSGE; Poisson uncertainty; Waveform Relaxation (search for similar items in EconPapers)
JEL-codes: C61 E21 O41 (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (8)

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Software Item: Matlab code for "Numerical solution of dynamic equilibrium models under Poisson uncertainty" (2013)
Working Paper: Numerical Solution of Dynamic Equilibrium Models under Poisson Uncertainty (2011)
Working Paper: Numerical Solution of Dynamic Equilibrium Models under Poisson Uncertainty (2011)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:dyncon:v:37:y:2013:i:12:p:2602-2622

DOI: 10.1016/j.jedc.2013.07.001

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