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...

The 1989 Brady Plan, named after the former US Treasury Secretary Nicholas Brady, was the restructuring and reduction of several emerging countries' external debt into bonds with US Treasury bonds as collateral. So far no country has ever defaulted payments, yet the market value of these bonds...

In contrast to their role in theory options are in practice not only traded for hedging purposes. Many investors also use them for speculation purposes. For these investors the Black-Scholes price serves only as an orientaTion, their decisions to buy, hold or hedge an option are also based on...

In this paper we build upon the recently developed uncertain parameter framework for valuing derivatives in a worst-case scenario. We start by deriving a stochastic volatility model based on a simple analysis of time-series data. We use this stochastic model to examine the time evolution of...

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...

The passport option is a call option on the balance of a trading account. The option holder retains the gain from trading, while the writer is liable for the loss. We establish pricing equations for various passport options including the multi-asset passport and those with discrete trading...

Parisian options are barrier options for which the knock-in/knock-out feature is only activated after the price process has spent a certain prescribed, consecutive time beyond the barrier. This specification is motivated by the need to make the option more robust against short-term movements of...

There is no room in the classical Black-Scholes framework for the market view of an investor. The investor in derivatives needs to know the volatility of the underlying, that is the 'choppiness' of the market, but the direction is irrelevant. Suppose we have two stocks A and B having the same...

In this paper we consider the problem of hedging options in the presence of costs in trading the underlying asset. This work is an asymptotic analysis of a stochastic control problem, as in Hodges & Neuberger (1989) and Davis, Panas & Zariphopoulou (1993) . We derive a simple expression for the...

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...