A continuous-in-time financial model

Abstract

In this paper, we construct a continuous-in-time model which is designed to be used for the finances of public institutions. This model is based on using measures over time interval to describe loan scheme, reimbursement scheme and interest payment scheme; and, on using mathematical operators to describe links existing between those quantities. The consistency of the model with respect to the real world is illustrated using examples and its mathematical consistency is checked. Then the model is used on simplified examples in order to show its capability to be used to forecast consequences of a decision or to set out a financial strategy.