There is an extensive literature on the valuation of a fixed income contracts. The present work addresses the problem from a new outlook: we find upper and lower bounds for the value of a contract. Constraints are imposed on the evolution of a short-term interest rate and a liability is valued...

In this paper we model the value to a firm of undertaking market research into a particular product opportunity. The way in which information about the potential of the project arrives and knowledge evolves during the life of the project is modeled using the theory of optimal filtering. The...

In this paper we model the value of a firm based on its current earnings and cash balances. The value is modelled on the assumption that earnings follow a mean-reverting process. The effect of advertising on earnings is modelled, and the condition for optimal advertising derived. The value of...

We show how to use 'uncertainty' in place of the more traditional Brownian 'randomness' to model a short-term interest rate. The advantage of this model is principally that it is difficult to show statistically that it is wrong. Whether the model is useful for pricing fixed-income products is...

Two of the authors (DE and PW) recently introduced a non-probabilistic spot interest rate model. The key concepts in this model are the non-diffusive nature of the spot rate process and the uncertainty in the parameters. The model assumes the worst possible outcome for the spot rate path when...