We introduce a tractable class of non-affine price processes with multifrequency stochastic volatility and jumps. The specifi cations require few fixed parameters and deliver fast option pricing. One key ingredient is a tight link between jumps and volatility regimes, as asset pricing theory...

It is well-known that Gaussian hedging strategies are robust in the sense that they always lead to a cost process of bounded variation and that a superhedge is possible if upper bounds on the volatility of the relevant processes are available, cf. El Karoui, Jeanblanc-Picque and Shreve (1998)...

In this paper, we study the following models : Heath-Jarrow-Morton (1992) and Libor-Market- Model, also known as Brace-Gatarek-Musiela model (1997). We survey the extensions of these models and their representation in the Black and Scholes world. Our approach is pedagogical and is based on an...

En recourant de plus en plus aux modèles à forme réduite, la théorie de l'évaluation du risque de crédit se distance de plus en plus de l'ingénierie financière traditionnelle qui donne la part belle aux modèles structurels. Bien qu'ils postulent l'absence d'arbitrage, les modèles à...

Plusieurs gestionnaires de portefeuille pensent encore à tort qu’une couverture delta suffit pour protéger leur portefeuille contre les fluctuations des marchés financiers. Mais une augmentation marquée de la volatilité des cours boursiers les décevra dans leurs attentes. Après avoir...

Monte Carlo simulation has an advantage upon the binomial tree as it can take into account the multidimensions of a problem. However it convergence speed is slower. In this article, we show how this method may be improved by various means: antithetic variables, control variates and low...

In this paper, we simulate portfolios which aim to insure the invested capital. The object of our simulations is the duplication of the cashflows of strategies based on options. We initially show how to duplicate the cash-flows of a call by using a leveraged portfolio of stocks. After, we...

Cet article examine si la valeur d’une entreprise exportatrice française est affectée par les fluctuations contemporaines et retardées du taux de change. En se basant sur un ´échantillon de 100 entreprises exportatrices françaises, l’´étude trouve que 22% des entreprises connaissent...

Markets makers quote many option categories in terms of implicit volatility. In doing so, they can reactivate the Black and Scholes model which assumes that the volatility of an option underlying is constant while it is highly variable. First of all, this article, whose purpose is very...