Double Kernel estimation of sensitivities - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Applied Probability Année : 2009

Double Kernel estimation of sensitivities

Résumé

This paper adresses the general issue of estimating the sensitivity of the expectation of a random variable with respect to a parameter characterizing its evolution. In finance for example, the sensitivities of the price of a contingent claim are called the Greeks. A new way of estimating the Greeks has been recently introduced by Elie, Fermanian and Touzi through a randomization of the parameter of interest combined with non parametric estimation techniques. This paper studies another type of those estimators whose interest is to be closely related to the score function, which is well known to be the optimal Greek weight. This estimator relies on the use of two distinct kernel functions and the main interest of this paper is to provide its asymptotic properties. Under a little more stringent condition, its rate of convergence equals the one of those introduced by Elie, Fermanian and Touzi and outperforms the finite differences estimator. In addition to the technical interest of the proofs, this result is very encouraging in the dynamic of creating new type of estimators for sensitivities.
Fichier principal
Vignette du fichier
ArticleDouble.pdf (251.6 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00416449 , version 1 (14-09-2009)

Identifiants

Citer

Romuald Elie. Double Kernel estimation of sensitivities. Journal of Applied Probability, 2009, 46 (3). ⟨hal-00416449⟩
222 Consultations
108 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More