منابع مشابه
A Note on Generalized Malliavin Calculus
The Malliavin derivative, divergence operator, and the OrnsteinUhlenbeck operator are extended from the traditional Gaussian setting to generalized processes from the higher-order chaos spaces.
متن کاملMalliavin Greeks without Malliavin Calculus
We derive and analyze Monte Carlo estimators of price sensitivities (“Greeks”) for contingent claims priced in a diffusion model. There have traditionally been two categories of methods for estimating sensitivities: methods that differentiate paths and methods that differentiate densities. A more recent line of work derives estimators through Malliavin calculus. The purpose of this article is t...
متن کاملMalliavin Calculus in Finance
This article is an introduction to Malliavin Calculus for practitioners. We treat one specific application to the calculation of greeks in Finance. We consider also the kernel density method to compute greeks and an extension of the Vega index called the local vega index.
متن کاملThe Malliavin Calculus
Acknowledgements I enjoyed the help and support from numerous friends and faculty members during whilst writing this thesis. My greatest debt however, goes to my supervisor, Professor Tony Dooley, who initiated me to the fantastic field of Malliavin calculus. With his incredible breadth and depth of knowledge and intuition, he guided me to structure and clarify my thought and suggested valuable...
متن کاملLectures on Gaussian approximations with Malliavin calculus
Overview. In a seminal paper of 2005, Nualart and Peccati [40] discovered a surprising central limit theorem (called the “Fourth Moment Theorem” in the sequel) for sequences of multiple stochastic integrals of a fixed order: in this context, convergence in distribution to the standard normal law is equivalent to convergence of just the fourth moment. Shortly afterwards, Peccati and Tudor [46] g...
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ژورنال
عنوان ژورنال: Stochastic Processes and their Applications
سال: 2012
ISSN: 0304-4149
DOI: 10.1016/j.spa.2011.11.003