How should Central Banks determine and control their bank note inventory?

This paper looks at a relatively unresearched but important area in money and banking - namely the provision of currency by the Central Bank. One of the most important functions of Central Banking is the provision of liquidity to the economy. However, in fulfilling this function, Central Banks have to be prepared for unexpected money demand shocks as well as production, transportation and cost of capital constraints. The paper develops a dynamic cost minimizing note inventory model that solves for the Central Bank's optimal note order size and frequency. As part of the modeling exercise a value at risk model is used to solve for an inventory “cushion.”