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\section{A simple model with only neutral productivity}
If we fixed the intertemporal elasticity of substitution (IES) for consumption and leisure and consider only one type of non-stationary productivity, labor of TFP, we get a model like the one in this section. Later, I'll allow for different IESs and the presence of a possibly cointegrated investment-specific productivity process, but this simple case delivers the main message and results can be compared with those in \cite{Edge2007}, who use essentially the same model when producing their results \footnote{They specify a general CRRA utility, but the calibration actually used in the paper sets IES=1, their two productivity processes are independent of each other, effects of both are decoupled and show us what happen on the face of changes of TFP growth rate}.
\cite{Hansen_2010}
\subsection{Preferences}