We study the optimal behaviour of a firm whose cash flow is determined
by a diffusion process, facing liquidation if internal cash balances
fall below some threshold. There is a conflict between the desire to p
ay dividends to satisfy shareholders and the need to retain cash as a
barrier against possible liquidation. Stochastic optimal control chara
cterises the value function and gives optimal decision rules for the f
irm. The firm has a precautionary motive for retaining earnings; the i
nternal cost of funds and local risk-aversion are both decreasing func
tions of cash held, and, in natural extensions to our model, output an
d investment are both increasing functions of cash balances.