Given a Brownian motion (Bt)t[greater-or-equal, slanted]0 and a general target law [mu] (not necessarily centered or even in ) we show how to construct an embedding of [mu] in B. This embedding is an extension of an embedding due to Perkins, and is optimal in the sense that it simultaneously...

The paper proposes an original class of models for the continuous-time price process of a financial security with nonconstant volatility. The idea is to define instantaneous volatility in terms of exponentially weighted moments of historic log-price. The instantaneous volatility is therefore...

The aim of this article is to find bounds on the prices of exotic derivatives, and in particular the lookback option, in terms of the (market) prices of call options. This is achieved without making explicit assumptions about the dynamics of the price process of the underlying asset, but rather...