Demand uncertainty and the value of supply opportunities

Abstract

The study considers the optimal timing of production decisions under demand uncertainty. In accordance with the modern theory of irreversible investment, the problem is modelled as one of optimal stopping. By taking an approach which is independent of dynamic programming and the smooth-fit principle, we derive explicitly both the value of the opportunity and the optimal-demand threshold. We prove that the optimal-demand threshold can be attained at a point where the smooth-fit principle is not valid. We also carry out the comparative static analysis of the optimal variables and derive conditions under which production incentives are held constant. A consequence of this analysis is that along the iso-incentive curve inflationary policy must be counteracted with strict monetary policy.