منابع مشابه
Malliavin 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 کاملStatistical inference and Malliavin calculus∗
The derivative of the log-likelihood function, known as score function, plays a central role in parametric statistical inference. It can be used to study the asymptotic behavior of likelihood and pseudo-likelihood estimators. For instance, one can deduce the local asymptotic normality property which leads to various asymptotic properties of these estimators. In this article we apply Malliavin C...
متن کاملPerturbation Analysis and Malliavin Calculus
Using the Malliavin calculus, we give a uniied treatment of the so-called perturbation analysis of dynamic systems. Several applications are also given.
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ژورنال
عنوان ژورنال: Stochastic Processes and their Applications
سال: 2018
ISSN: 0304-4149
DOI: 10.1016/j.spa.2017.09.014