We model the dynamics of asset prices and associated derivatives by consideration of the dynamics of the conditional probability density process for the value of an asset at some specified time in the future. In the case where the asset is driven by Brownian motion, an associated "master...

"he Brody-Hughston-Macrina approach to information-based asset pricing introduces a new way of looking at the mechanisms determining price movements in financial markets. The resulting theory of financial informatics is applicable across a wide range of asset classes and is distinguished by its...

The well-known theorem of Dybvig, Ingersoll and Ross shows that the long zero-coupon rate can never fall. This result, which, although undoubtedly correct, has been regarded by many as surprising, stems from the implicit assumption that the long-term discount function has an exponential tail. We...