We provide a monotonic transformation of an initial diffusion with a level-dependent diffusion parameter that yields a second, deterministic diffusion parameter process. Altering the diffusion parameter while maintaining the original Brownian motion at the expense of the drift can be viewed as a...

When the underlying price process is a one-dimensional diffusion, as well as in certain restricted stochastic volatility settings, a contingent claim's delta is bounded by the infimum and supremum of its delta at maturity. Further, if the claim's payoff is convex (concave), the claim's price is...

Firms are more complicated than standard principal-agent theory allows: firms have assets-in-place; firms endure through time, allowing for the possibility of replacing a shirking manager; firms have many managers, constraining the amount of equity that can be awarded to any one manager; and, a...

Firms are more complicated than standard principal-agent theory allows: firms have assets-in-place; firms endure through time, allowing for the possibility of replacing a shirking manager; firms have many managers, constraining the amount of equity that can be awarded to any one manager; and, a...