Constraints on external finance modify a simple inventory investment d
ecision. Optimal policy is no action when cash holdings are less than
threshold levels (the control boundaries) which are functions of the c
urrent level of inventories. On the control boundaries additional cash
is used for inventory replenishment, when inventory holdings are belo
w the level which would be held in the absence of financing constraint
s, and for dividend payment, when inventory holdings are equal to or e
xceed this level. A fixed boundary at all inventory levels is used as
an approximation to the fully optimal control allowing computation of
the behaviour of aggregate inventory and cash holdings for a populatio
n of financially constrained firms. There is a pronounced and extended
dynamic response from inventory investment following aggregate distur
bances to cash holdings, to prices, and to the standard error of the d
iffusion process for cash holdings. This contrasts with the unconstrai
ned case where such shocks have no effect on either inventory holdings
or inventory investment.