In this paper we deal with a stochastic project network and consider t
he impact of activity delay to maximize the expected present value of
a project. It is shown that in certain situations, delaying the onset
of an activity from its earliest start time can indeed increase the pr
esent value of a project due to the postponing of associated negative
cash flows. Furthermore, a project that could otherwise be rejected (n
egative expected present value) may become profitable (positive expect
ed present value) due to delay. We demonstrate that even activities on
the critical path, as determined by each activity's expected duration
, may be profitably delayed. Optimal and approximate procedures are de
veloped to determine the amount of delay of the various activities.