Книга Numerical methods for Volatility Estimation and Option Pricing Ibtissam Medarhri

Numerical methods for Volatility Estimation and Option Pricing

Numerical methods in Finance

Автор: Ibtissam Medarhri
Език: Английски език
Корици: С меки корици
Наличност: Външен склад
Изпращаме след 5-8 дни
45.70 89.38 лв
This manuscript presents a synthesis of my contributions during the years of my thesis that I defend...

Информация за книгата

Автор
Език
Английски език
Корици
Книга - С меки корици
Издадена
2017
страници
120
EAN
9783841673442
Enbook ID
18367941
Теглоt
186
Размери
152 x 229 x 7

Пълно описание

This manuscript presents a synthesis of my contributions during the years of my thesis that I defended in 2015. We have been interested in the applications of mathematics in finance such as option pricing and volatility estimation. First, we dealt with calibrating local volatility problem from market option prices, which is an inverse problem. We proposed an alternative approach based on the regularization method of Tikhonov, using the Dupire partial differential equation modeling the option price, and we tested numerically the proposed algorithms. On the other hand, we developed an adequate method of "DDGRK" Direct Discontinuous Galerkin, and Runge-Kutta of order two and three for the time discretization for pricing Option. Finally, we proposed the Runge-Kutta stochastic method in time for the evaluation of an European option with stochastic volatility when the volatility dynamics follows the CEV model.

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