Kniha Numerical methods for Volatility Estimation and Option Pricing Ibtissam Medarhri

Numerical methods for Volatility Estimation and Option Pricing

Numerical methods in Finance

Jazyk: Angličtina
Vazba: Brožovaná
Dostupnost: Skladem u dodavatele
Odesíláme za 5-8 dnů
984
This manuscript presents a synthesis of my contributions during the years of my thesis that I defend...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Brožovaná
Vydáno
2017
Stránek
120
EAN
9783841673442
Enbook ID
18367941
Hmotnost
186
Rozměry
152 x 229 x 7

Kompletní popis

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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