Chapter 19: Managing Net Working Capital
PROBLEMS
1. Euroshipping Corporation maintains separate production and distribution facilities in
Sweden, France, Spain, and Italy. The corporate headquarters is in France. As a
consultant to the treasurer of Euroshipping, you have been asked to estimate how
much money the firm could save by creating a centralized cash management pool.
Currently, each affiliate maintains precautionary cash balances equal to 3 standard
deviations above its expected demand for cash.
By how much could Euroshipping reduce its overall demand for cash if it were to create
a centralized cash pool for the four affiliates? (Assume that the cash needs are normally
distributed and are independent of each other.)
Answer: Currently, each of the four affiliates is holding cash equal to the mean of their
perceived demand plus three standard deviations. The total demand for cash by each affiliate
is therefore Swedish = €25,000,000 + 3
€7,000,000 = €46,000,000
French = €50,000,000 + 3
€13,000,000 = €89,000,000
Italian = €35,500,000 + 3
€10,000,000 = €65,500,000
Spanish = €20,000,000 + 3
€6,000,000 = €38,000,000
The total demand for cash sums these demands to give €238,500,000.
If we centralize the cash management, we would want to know the distribution of the sum of
the demands for cash. The mean of the sum would be the sum of the means, and the variance
of the sum would be the sum of the variances, because the demands are independent of each
other. Thus, the mean demand for cash of centralized cash pool is
€25,000,000 + €50,000,000 + €35,500,000 + €20,000,000 = €130,500,000
The variance of the demand for cash of centralized cash pool is
€7,000,0002 + €13,000,0002 + €10,000,0002 + €6,000,0002 = €18,814,8882
Thus, the total demand for cash by the centralized cash pool is
€130,500,000 + 3
€18,814,888 = €186,944,664