Josep Vives

An anticipating It\^o formula for L\'evy processes (2008)

Alòs, Elisa, León, Jorge A., Vives, Josep

In this paper, we use the Malliavin calculus techniques to obtain an anticipative version of the change of variable formula for L\'evy processes. Here the coefficients are in the domain of the...

A Hull and White formula for a general stochastic volatility jump-diffusion model with applications to the study of the short-time behavior of the implied volatility (2008)

Alós, Elisa, León, Jorge A., Pontier, Monique, Vives, Josep

In this paper, generalizing results in Alòs, León and Vives (2007b), we see that the dependence of jumps in the volatility under a jump-diffusion stochastic volatility model, has no effect on the...

On the short-time behavior of the implied volatility for jump-diffusion models with stochastic volatility (2006)

Alós, Elisa, León, Jorge A., Vives, Josep

In this paper we use Malliavin calculus techniques to obtain an expression for the short-time behavior of the at-the-money implied volatility skew for a generalization of the Bates model, where the...

Vida cristiana y discernimiento (2004)

Vives, Josep

El autor afirma que el discernimiento no es un invento de los jesuitas. Ni siquiera de San Ignacio, pero es éste último el que contribuyó, a través de los Ejercicios, a que se reconociera su...

La democracia, más allá de los ídolos (2004)

Vives, Josep

El autor confronta a la democracia que ha estado asistida de la ilustración y del racionalismo, que ha superado los oscuros temores y ha pasado a la razón; pero está alejada de un trasfondo...

La democracia, más allá de los ídolos (2004)

Vives, Josep

Folleto donde el autor cuestiona a la democracia que se funda sólo en el los principios de la razón instrumentalista y desdeña los aportes de la fe, por lo que plantea los resultados de esta...

Chaotic Kabanov formula for the Azéma martingales (2000)

Privault, Nicolas, Lluís Solé, Josep, Vives, Josep

We derive the chaotic expansion of the product of nth- and first-order multiple stochastic integrals with respect to certain normal martingales. This is done by application of the classical and...

On the short-time behavior of the implied volatility for jump-diffusion models with stochastic volatility

Elisa Alòs, Jorge A. León, Josep Vives

In this paper we use Malliavin calculus techniques to obtain an expression for the short-time behavior of the at-the-money implied volatility skew for a generalization of the Bates model, where the...

Alternative solutions of the black-sholes equation

Hortensia Fontanals Albiol, Ramon Lacayo, Josep Vives

In the mathematical treatment of financial derivatives, and specially that of options, the defining stochastic differential equation coupled with the arbitrage-free pricing condition leads to a...

On Lévy processes, Malliavin calculus and market models with jumps

Josep Vives, Jorge A. León, Frederic Utzet, Josep L. Solé

Recent work by Nualart and Schoutens (2000), where a kind of chaotic property for Lévy processes has been proved, has enabled us to develop a Malliavin calculus for Lévy processes. For simple Lévy...

A Hull and White formula for a general stochastic volatility jump-diffusion model with applications to the study of the short-time behavior of the implied volatility

Elisa Alòs, Jorge A. León, Monique Pontier, Josep Vives

In this paper, generalizing results in Alòs, León and Vives (2007b), we see that the dependence of jumps in the volatility under a jump-diffusion stochastic volatility model, has no effect on the...

On the short-time behavior of the implied volatility for jump-diffusion models with stochastic volatility

Elisa Alòs, Jorge León, Josep Vives

Black-Scholes formula, Derivative operator, Itô’s formula for the Skorohod integral, Jump-diffusion stochastic volatility model, G12, G13, 91B28, 91B70, 60H07,