Dynare equation

[GiovannaFichera]

Good morning , I should write some equations on a. mod file in order to analyze through dynare, some variables on matlab. The equations in question are

(1 + g) ^ teta teta (c (t + 1) -c (t)) = r ̅ β r (t)
(1 + g) N (hat) n (t + 1) = 1 / eta (L W (hat) w (t) -C (hat) c (t)) + r ̅ r (t) + (1 + r ̅ r (t)) * N (hat) * n (t)

In addition, the text of the document tells me that c (t) = lnc (t) -lnc (hat), so that the variable in lower case is the deviation between the endogenous variable and the corresponding stationary state. So I’d like to figure out how to write letters in lower case and letters in upper case with hat accents on the mod file. Thanks in advance

[jpfeifer]

See

Mix of equations in levels and log linearized form

No, you can combine linearized and nonlinear equations provided that i) you only use a first order approximation and ii) correctly link the levels and percentage deviations. If z is the level of a variable, then zhat=log(z)-log(steady_state(z))

[GiovannaFichera]

Thanks for the reply. The document also tells me that the lowercase variable at time t, for example zt, is the deviation between LnZt-LnZ (hat). how should I transcribe these variables?

[GiovannaFichera]

I have some doubts for the transcription on the file mode of the first two equations of the screen attached

[jpfeifer]

Please do not cross-post. What exactly is your question and what do you mean with “transcribe”?