We develop a model for valuing revenue streams from innovations. The stochastic properties of revenue from innovations create a more difficult environment in which to value options than when the underlying is a security. There is no initial revenue, and cumulative revenue cannot decrease....

Empirical evidence shows that log-return relatives on commodity futures prices are not normally distributed. This departure from normality seems to be caused by large price changes occurring in the commodity markets with the arrival of important new information. This suggests that a...

Equilibrium and arbitrage-based option pricing models are based on the assumption that the derivative and its underlying asset are simultaneously observable. However, empirical testing with transactions data must deal with less than perfect synchronicity and windows defining a ‘match’...

A wide variety of diffusions used in financial economics are mean-reverting and many have state- and time-dependent volatilities. For processes with the latter property, a transformation along the lines suggested by Nelson and Ramaswamey can be used to give a diffusion with constant volatility...