Key points are not available for this paper at this time.
We control a diffusion process with constant coefficients in order to keep this process in a given band with impulse control methods. We prove that there exists an optimal control if the cost associated with each control is a fixed cost plus a proportional cost. We study the problem of the exchange rate and prove that it is possible to keep the exchange rate in a target zone with discrete interventions.
Monique Jeanblanc‐Picqué (Thu,) studied this question.