Optmization of Treasury
This book is dedicated to companies and students that wish to know about how to optimize treasury and Cash-Management.
This book is dedicated to companies and students that wish to know about how to optimize treasury and Cash-Management.
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Figure n°1: Determination <strong>of</strong> optimal capital compromise between solvency and pr<strong>of</strong>itability.<br />
The C function passes through a minimum when its derivative with respect to the Working Capital Fund is zero. This<br />
method <strong>of</strong> calculation is thus similar to the previous. The same criticism can be formulated in its regard.<br />
(c) Optimize the use <strong>of</strong> the Working Capital Fund.<br />
This approach is original to the extent that it reverses the terms <strong>of</strong> problem (1). The selected objective is maximization<br />
<strong>of</strong> benefit based on a constraint, the Fund available bearing or 'cash '. In these circumstances, for example if the<br />
production function is represented by:<br />
C = 20 + 5 (x)<br />
(Total cost = fixed costs + unit variable costs multiply by the quantity produced), and the available capital funds and<br />
150 maximum production will be:<br />
150 = 20 + 5(x)<br />
x = 26 units<br />
If it is assumed that the unit selling price is 10, and that the revenue (or turnover) function has the form:<br />
R = 10 (x)<br />
The maximum benefit allowed by the available working capital fund will be:<br />
P = R - C = 10 x - (20 + 5 x) or P = 110 (1)<br />
The marginal benefit will represent the maximum price that can pay the company for additional funds required for<br />
the production <strong>of</strong> one unit more.<br />
As can be seen, the interest <strong>of</strong> this model lies in its didactical value. It has the merit to describe the relationships<br />
between the operational needs and the Working Capital Fund. But it seems devoid <strong>of</strong> practical interest because the<br />
simplifying assumptions on which it is based, as well as elsewhere, because the methodology adopted. We can take<br />
the same approach in the context <strong>of</strong> 'mathematically' more complex situations:<br />
When functions are not linear (the cost equation becomes<br />
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