Thesis advisor: Susanto BasuThis dissertation consists of three essays that study macroeconomic modeling and its application with a particular focus on monetary economics. In Chapter 1, I develop a New Keynesian model with heterogeneous workers whose wage settings are subject to downward nominal wage rigidity (DNWR) to address two puzzles of inflation dynamics: the missing deflation during the Great Recession and the excessive disinflation afterward. I demonstrate that DNWR introduces a time-varying wedge between the output gap and the marginal cost of producing one unit of output, which makes the observed Phillips curve flatter during recessions. Endogenous evolution of cross-sectional wage distribution generates various dimensions of non-...