At different times and in many countries, there has existed a close connection between fiscal and monetary policy. This may have been because of lack of sufficient tax revenues or specific situations like the current financial crises requiring such policy response. There is not much literature modeling this policy environment using a money search framework. This dissertation aims to bridge this gap by modifying a much often-used money search model to include a Leviathan or a utility maximizing central bank. The first essay studies the nature of optimal monetary policy of this monetary authority. The analysis suggests multiple outcomes with actual realization depending on context specific factors. For example, fiscal profligacy is associated...