I am attempting to replicate (and extend with usual frictions) the Cochrane (2021) model found here: https://static1.squarespace.com/static/5e6033a4ea02d801f37e15bb/t/60cf6474f779756d877f92ce/1624204407753/ftmp_surplus.pdf
Generally, this is quite straightforward as all linearized equilibrium equations are presented (see p. 12). I am having difficulty only with equation 31 that specifies an explicit enforced relationship between the inflation expectation error and the model errors. Obviously, if I include this equation as is, I have one more equation than endogenous variables. Could you please advise on how to do this? Would the results look any different if this equation were omitted altogether? I do not recall any other time I have seen calibrated coefficients for the dependency of expectational errors on model shocks.
My Dynare mod file is attached.
Thanks for your help!
cochrane_2022_model.mod (4.3 KB)