It would be a silly question. In a model, I have found the BGP (balanced growth path) for all key variables.
As expected, these variables are constant variables ;
All paramaters on the right hand side are exogeneous constant parameters. Let's say $\mu$ is a variable for technological progress level.
For another variable, let's say capital accumulation $k$,I find a constant growth rate which is ;
The parameters on the RHS are again exogenous parameters.
My question is : Is it possible to see the effect of the variable $\mu$ on the growth rate of capital $g_k$ ?
My way of doing seems to me a little bit weird. I firstly put
and replace it in $g_k$. So, I have
After, I say that technological progress level at BGP affects positevly the growth rate of capital.
Do you think that it is correct to say that ? Making this kind of comparative statics analysis ?
Or any other way to do it in a more appropriate way ?