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third order approximation

PostPosted: Tue Jan 19, 2010 10:59 pm
by locuas
Hi,

Would anyone explain how the third order approximation is organized in Dynare? What each element in g3 means?
Thanks in advance!

Re: third order approximation

PostPosted: Thu Jan 21, 2010 1:34 pm
by MichelJuillard
Hi there,

g_0, g_1, g_2 and g_3 are the derivatives of the decision rule divided by the Taylor coefficient (1/k!) where k is the order of the derivative. Symmetric derivatives are stored only once in the order of a multidimensional index going thru the state variables of the model and the shocks in their order of declaration.
This is the same storage scheme as Dynare++ (See http://www.dynare.org/documentation-and ... torial.pdf, page 24, dyn_g_order).

Best

Michel