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

Andrew Binning

No 2013/13, Working Paper from Norges Bank

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.

Keywords: Solving dynamic models; third-order approximation; third-order matrix chain rule (search for similar items in EconPapers)
Pages: 32 pages
Date: 2013-05-16
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Citations: View citations in EconPapers (8)

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