We analyze the impact of introducing a central bank-issued digital currency (CBDC) on the operational framework of monetary policy and the macroeconomy as a whole. To this end, we develop a New Keynesian model with heterogeneous banks, a frictional interbank market, a central bank with deposit...

We identify and study analytically three key channels that shape how inflation affects wealth inequality: (i) the traditional wealth (Fisher) channel through which inflation redistributes from lenders to borrowers; (ii) an income channel through which inflation reduces the real value of sticky...