Downward Nominal Wage Rigidity and Determinacy of Equilibrium

It is well known in the literature that there is a tension between the frequency and duration of the zero lower bound (ZLB) on the nominal interest rate and the determinacy of equilibrium. In this short paper, I show that the presence of downward nominal wage rigidity (DNWR) resolves the tension by preventing a vicious cycle of price declines and output contractions under the ZLB. Consequently, the model with DNWR can replicate the long-lived ZLB episodes observed in the data. It also implies a plausible size of output and inflation declines at the ZLB.