Recent work has reduced the gap between search-based monetary theory and mainstream macroeconomics by incorporating into the search model some centralized markets as well as some decentralized markets where money is essential. This paper takes a further step towards this integration by introducing labor, capital and neoclassical firms. The resulting framework nests the search-theoretic monetary model and a standard neoclassical growth model as special cases. Perhaps surprisingly, it also exhibits a dichotomy: one can determine the equilibrium path for the value of money independently of the paths of consumption, investment and employment in the centralized market.