Merging Simulation and Projection Approaches to Solve High-Dimensional Problems

Kenneth Judd, Lilia Maliar and Serguei Maliar

No 18501, NBER Working Papers from National Bureau of Economic Research, Inc

Abstract: We introduce an algorithm for solving dynamic economic models that merges stochastic simulation and projection approaches: we use simulation to approximate the ergodic measure of the solution, we construct a fixed grid covering the support of the constructed ergodic measure, and we use projection techniques to accurately solve the model on that grid. The grid construction is the key novel piece of our analysis: we select an ε-distinguishable subset of simulated points that covers the support of the ergodic measure roughly uniformly. The proposed algorithm is tractable in problems with high dimensionality (hundreds of state variables) on a desktop computer. As an illustration, we solve one- and multicountry neoclassical growth models and a large-scale new Keynesian model with a zero lower bound on nominal interest rates.

JEL-codes: C61 C63 (search for similar items in EconPapers)
Date: 2012-11
New Economics Papers: this item is included in nep-cmp, nep-dge and nep-ore
Note: EFG PE TWP
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Published as Merging simulation and projection approaches to solve high-dimensional problems with an application to a new Keynesian model Lilia Maliar1 andSerguei Maliar2,† Article first published online: 27 MAR 2015 DOI: 10.3982/QE364 Quantitative Economics Volume 6, Issue 1, pages 1–47, March 2015

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Software Item: EDS code for new Keynesian model with ZLB in "Merging Simulation and Projection Aproaches to Solve High-Dimensional Problems with an Application to a New Keynesian model" (2015)
Working Paper: Merging simulation and projection approaches to solve high-dimensional problems (2012)
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