As indicated at
in your model the foreign real interest always appears as
r_s - pi_s(+1)
There is no way to disentangle the two components. You could just define r_s_real
instead and formulate
r_s - pi_s(+1)= rho_r_s*(r_s(-1) - pi_s) + v_r_s;
as
r_s_real= rho_r_s*(r_s_real(-1)) + v_r_s;
That will solve the collinearity. But because you will replace two variables by one without dropping another, it shows that you are still including one redundant equation. Alternatively, there is a larger problem with your setup.