Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/210036 
Authors: 
Year of Publication: 
2013
Series/Report no.: 
Working Paper No. 2013/13
Publisher: 
Norges Bank, Oslo
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.
Subjects: 
solving dynamic models
third-order approximation
third-order matrix chain rule
Persistent Identifier of the first edition: 
ISBN: 
978-82-7553-752-0
Creative Commons License: 
cc-by-nc-nd Logo
Document Type: 
Working Paper
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