basic question, I am having the old problem to decide whether my model is stochastic or deterministic.
My model is new keynesian and has several shock processes which are AR(1), including an error term which is i.i.d and has E(x)=0.
Now, I want to shock the model for instance with permanent shocks or shocks that start at a specific point and last a pre determined period length. Does this make my model deterministic or am I in a stochastic model with deterministic shocks? Do I need to transform the model, to make it deterministic?
But should I use stoch_simul or simul in the end to compute the model? Or should I seperately compute the solutions for a det and a stoch case, respectively?
if your model is deterministic (see my previous answer), you need to use the command âsimulâ. If you didnt change anything about the NK model you were talking about at the beginning of this post then you can use the instruction stoch_simul since your model is stochastic.
That is exactly my problem, the model is still the same as described above, but I want to shock it with deterministic shocks (ie shocks lasting for a predet. period or permanent shocks). For this purpose, do I need to change my stoch model to a deterministic one?
I think you donât need to change the model into deterministic one. If I understand it well, your model is stochastic, but you want to observe Impulse Response Functions to specific shocks. That is exactly what the function stoch_simul will do for you.
Are you sure you have read the UsersGuide by Tommaso Mancini carefully enough? You can also read some book to learn more how does Dynare work.
In fact I am sure I did not read the guide by Thomaso Mancini carefully enough, because there is still plenty of new things I discover everytime I read it. I wasnât able to figure this problem out though, I have also read Collardâs âDynare in Practiceâ, which was/is quite helpful. I am definitely looking for practical literature on dynare (the material is absolutely new to me), do you have any recommendations?
You can keep your model as a stochastic model, but add deterministic shocks by varexo_det designation in the variables section (see pg 7 in the Dynare manual for further details.)
I actually havenât used varexo_det myself, so maybe I should let an administrator handle this.
But my understanding is that these deterministic changes specified in varexo_det need to be temporary, so you canât do permanent deterministic changes. This would affect the steady-state which is not allowed since the stochastic model is approximated around a constant steady-state. This could be the source of the problem.
If youâre analyzing a one-time unexpected but permanent change, then you should build the model as a deterministic model, and make the model calculate the transition path from an initial to a new steady-state.
Otb, I think whether you can use permanent shock in the stochastic model or not depends on the size of the shock. If the shock does not change the local dynamics of the model, e.i. does not change the approximation at the point in a relevant way, then the permanent shock should not be a problem. (Moreover, if the first order approximation was infected by the shock too much, you could use second order approximation or a higher order approximation in Dynare++) It can be simply designed so that we put
*rw_e = rw_e(-1) + e*,
where e is an exogenous variable with single period shock and the desired permanent shock rw_e, in this case defined as an endogenous variable.
Fontana, actually I did not read the guide by Thomaso Mancini carefully enough myself too. I am new to the field too and I started reading the book âStructural Macroeconomicsâ by D. N. Dejong and Ch. Dave. The book is written a very nice way, it describes all the basic concepts and methods used by Dynare and the book seems to be practical - besides the theory, gives you clear instructions how to design your model.
If someone has good experience with other books, please, give me a reference.