In this paper, we focus on model-free pricing and robust hedging of options depending on the local time, consistent with Vanilla options. This problem is classically approached by means of the Skorokhod embedding problem (SEP), which consists in representing a given probability on the real line...

The uncertain volatility model has long ago attracted the attention of practitioners as it provides worst-case pricing scenario for the sell-side. The valuation of a financial derivative based on this model requires solving a fully non-linear PDE. One can rely on finite difference schemes only...

In this paper, we focus on short-time asymptotics for American options in the case of local and stochastic volatility models. As a by-product, we obtain an efficient algorithm for calibrating Dupire's local volatility to American options, starting from an arbitrage-free parametrization of a...

In this short note, we derive a new approximation for the pricing of Vanillas in the case of a Black-Scholes model with affine dividends. This new approximation is more accurate than the Bos-al formula [Bos], commonly used by practitioners

In this paper, we introduce a new GARCH model with an infinitely divisible distributed innovation, referred to as the rapidly decreasing tempered stable (RDTS) GARCH model. This model allows the description of some stylized empirical facts observed for stock and index returns, such as volatility...

In this paper we will introduce a hybrid option pricing model that combines the classical tempered stable model and regime switching by a hidden Markov chain. This model allows the description of some stylized phenomena about asset return distributions that are well documented in financial...

In this paper, we introduce a new technique for calibrating local volatility extensions of arbitrary multi-factor stochastic volatility models to market smiles. Although approximate, this technique is both fast and accurate. The procedure is illustrated with the Bergomi variance curve model and...

In this paper, we investigate model-independent bounds for option prices given market instruments.This super-replication problem can be written as a semi-infinite linear programming problem. As these super-replication prices can be large and the densities Q which achieve the upper bounds quite...

In this paper, we compute the sensitivity according to a (local) deformation of the Dupire local volatility. This leads to an efficient projection of the Vega risk on vanilla options that we illustrate by numerical experiments

We consider the problem of superhedging under volatility uncertainty for an investor allowed to dynamically trade the underlying asset, and statically trade European call options for all possible strikes with some given maturity. This problem is classically approached by means of the Skorohod...