The study of monetary economics encompasses a broad range of directions, and this research aims to address several different areas of monetary economics through empirical and theoretical work. The first essay uses annual data from twenty-seven countries to determine whether unexpected inflation has an effect on unexpected output, as suggested by the Lucas Supply Function. Additional specifications are added to show that Lucas' base model is incomplete. Once money level equations were included, the results suggest money affects output through prices, as well as through other means. The second essay seeks to find stable predictors of the money demand function. The money demand function has been unstable since the 1970s, and this study focuses...