Norges Bank

Working Paper

Third-order approximation of dynamic models without the use of tensors

Author:
Andrew Binning
Series:
Working Paper
Number:
13/2013

Abstract
I outline a new method for finding third-order accurate solutions to dynamic general equilibrium models. I extend the Gomme & Klein (2011) solution for second-order approximations without using tensors, to a third-order. In particular I derive a third-order matrix chain rule and use this to solve the third-order approximation. My solution method is easier to understand and code-up, and faster to implement in Matlab. I provide Matlab code and demonstrate my solution method with a simple RBC model. The resulting code is up to 80 times faster than Matlab code using tensor notation.

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ISSN 1502-8190 (online)

Published 16 May 2013 10:00
Published 16 May 2013 10:00