%0 Journal Article %T Quantification of Revenue Induction and Expenditure Reflux in a Monetary Economy %A Shinji Miura %J Advances in Linear Algebra & Matrix Theory %P 25-35 %@ 2165-3348 %D 2015 %I Scientific Research Publishing %R 10.4236/alamt.2015.51003 %X In a monetary economy, expenditure induces revenue for each agent. We call this the revenue induction phenomenon. Moreover, in a special case, part of the expenditure by an agent returns as their own revenue. We call this the expenditure reflux phenomenon. Although the existence of these phenomena is known from the olden days, this paper aims to achieve a more precise quantification of them. We first derive the revenue induction formula through solving the partial money circulation equation. Then, for a special case, we derive the expenditure reflux formula. Furthermore, this paper defines the revenue induction coefficient and the expenditure reflux coefficient, which are the key concepts for understanding the two formulas, and examines their range. %K Monetary Economy %K Money Circulation %K Revenue Induction %K Expenditure Reflux %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=54761