We show that a possible explanation for the widespread use of options in compensation contracts might be that they provide a way to screen executives. In particular, we consider the problem of a risk-neutral firm that tries to hire a risk-averse executive. There are several types of executives,...

We consider the problem of a Central Bank that wants the exchange rate to be as close as possible to a given target, and in order to do that uses both the interest rate level and interventions in the foreign exchange market. We model this as a mixed classical-impulse stochastic control problem,...