Numerical solution of dynamic equilibrium models under Poisson uncertainty

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  • Olaf Posch
  • Timo Trimborn, University of Göttingen, Tyskland
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.
OriginalsprogEngelsk
TidsskriftJournal of Economic Dynamics and Control
Vol/bind37
Nummer12
Sider (fra-til)2602-2622
ISSN0165-1889
DOI
StatusUdgivet - 2013

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