We derive a new equation for the optimal investment boundary of a general irreversible investment problem under exponential Lévy uncertainty. The problem is set as an infinite time-horizon, two-dimensional degenerate singular stochastic control problem. In line with the results recently...

Previous studies in dynamic programming have looked at the capital-consumption relationship. In this paper we will expand on such a basic model to include stochastic investment returns and government taxation. The conclusion is that taxation has a stabilizing effect on the optimal consumption...