Title of article :
Malliavin Monte Carlo Greeks for jump diffusions
Author/Authors :
Davis، نويسنده , , Mark H.A. and Johansson، نويسنده , , Martin P.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2006
Abstract :
In recent years efficient methods have been developed for calculating derivative price sensitivities using Monte Carlo simulation. Malliavin calculus has been used to transform the simulation problem in the case where the underlying follows a Markov diffusion process. In this work, recent developments in the area of Malliavin calculus for Levy processes are applied and slightly extended. This allows for derivation of similar stochastic weights as in the continuous case for a certain class of jump-diffusion processes.
Keywords :
Jump process , Monte Carlo estimation , Lévy process , Mathematical finance
Journal title :
Stochastic Processes and their Applications
Journal title :
Stochastic Processes and their Applications