Blanchard & Kahn conditions are not satisfied: no stable equilibrium & The Jacobian of the static model is singular

[jpfeifer]

Unfortunately, the plots look decent. This is a well-known issue in models with many shocks and has been discussed in e.g.

Second moments

Unfortunately, this is not entirely unheard of. In Born/Peter/Pfeifer (2013): Fiscal news and macroeconomic volatility, we use the endogenous_prior option for this reason. You should try whether this helps. If yes, the actual estimation might be fine.