“…Our paper contributes to the research on the welfare cost of inflation in micro-founded models of money demand, starting with the work by Lagos and Wright (2005). Our work complements a growing literature combining goods and labor market frictions to study the effects of monetary policy on unemployment, starting with Berentsen et al (2011) and developed in work such as Gomis-Porqueras et al (2013), Rocheteau and Rodriguez-Lopez (2014), Bethune et al (2015), Gu et al (2021), Bethune and Rocheteau (2017), Dong and Xiao (2019), Ait Lahcen (2020), Gomis-Porqueras et al (2020), He and Zhang (2020), and Jung and Pyun (2020), among others. As mentioned above, this literature has largely viewed short-run volatility as orthogonal to the long-run welfare effect of anticipated inflation.…”