“…For textbook analysis of optimal monetary policy under rational expectations, see e.g.,Woodford (2003) orGalí (2015). SeeEggertsson and Woodford (2003),Adam and Billi (2006) orCoibion, Gorodnichenko, and Wieland (2012) for early analyses including the lower bound on nominal interest rates.2 Most recently,Candia, Coibion, and Gorodnichenko (2021) andCoibion, Gorodnichenko, Knotek, and Schoenle (2020) show that US firms as well as households are usually poorly informed about and quite inattentive to monetary policy. Gorodnichenko (2012, 2015a), for example, show that models of limited attention more closely align with empirical patterns of inflation expectations, compared to models of FIRE.…”