I investigate the welfare maximizing steady-state inflation rate in a heterogeneous-agent New Keynesian model with Downward Nominal Wage Rigidity (DNWR). After matching the annual wage change distribution in the U.S., I demonstrate that DNWR has a significant impact on the economy, particularly when the inflation target is set low. The optimal inflation rate is estimated to be as high as 8.8%, and increasing the inflation target to the optimal level yields a welfare gain of nearly 3.50%. While the results exhibit sensitivity to parameterization, a broad range of calibrations indicates that the optimal inflation rate is consistently above 3%.