This paper describes the application of the Principle of Maximum Entropy to the estimation of the distribution of an underlying asset from a set of option prices. The resulting distribution is least committal with respect to unknown or missing information and is, hence, the least prejudiced. The...

In this paper we consider the problem of Kelly betting on simultaneous games, and the relative performance of betting strategies that use multibets compared to those that do not. We develop a simulation model based on the Dirichlet distribution to test the performance of three Kelly betting...

This paper formally analyses two exotic options with lookback features, referred to as extreme spread lookback options and look-barrier options, first introduced by Bermin. The holder of such options receives partial protection from large price movements in the underlying, but at roughly the...

This paper is primarily concerned with pricing a general passport option (GPO) within the standard Black-Scholes framework. We show that in all possible cases of the allowed trading strategy, the price can be decomposed into simple portfolios of standard European calls and puts and a contract we...

This paper develops a new technique for pricing a class of exotic options that are characterized by two expiry dates. Examples of such exotics include compound options, chooser options, extendable options, shout options, partial barrier options and others. The method, based on the partial...

We consider in this article the arbitrage free pricing of double knock-out barrier options with payoffs that are arbitrary functions of the underlying asset, where we allow exponentially time-varying barrier levels in an otherwise standard Black-Scholes model. Our approach, reminiscent of the...