I am estimating a time-series model, which includes 7 time-series (6 "exogenous" and a main ("endogenous") variables). I wanted to estimate a model which allows me to examine impulse response functions.
My theoretical model postulates that the 6 time-series models are correlated in a system with themselves and with "main" (I know the term "endogenous" might be inappropriate here, so let me use "main" instead) variable, as with a traditional set of variables in a VAR-model. However, I also expect there to be a contemporaneous effect between the main variables and the rest, which goes from the 6 variables to the main variable and not the other way.
I am wondering how this system should be estimated. My initial response was to create a SVAR model, where the the restrictions (the Amat matrix in R) only finds an effect from the 6 variables on the main variable. Does this make sense?
Further, I am struggling to think of fitted and predicted values in such a system.