A dynamic model featuring a stochastic technology frontier shows significant impact of technology adoption for asset prices. In equilibrium, firms operating with old capital are riskier because costly technology adoption restricts their flexibilities in upgrading to the latest technology, making...

In this paper we study the stochastic area swept by a regular time-homogeneous diffusion till a stopping time. This unifies some recent literature in this area. Through stochastic time change we establish a link between the stochastic area and the stopping time of another associated...

The method of variational inequalities is a useful theoretical tool in stochastic control, but there are few problems in which this method leads to an explicit solution. We present such a problem drawn from portfolio management. An agent can distribute his wealth between two investments, one...