equation differentielle stochastique finance


Qu'est-ce que l'équation différentielle stochastique ?

Pour les articles homonymes, voir EDS . Une équation différentielle stochastique (EDS) est une généralisation de la notion d'équation différentielle prenant en compte un terme de bruit blanc. Les EDS permettent de modéliser des trajectoires aléatoires, tels des cours de bourse ou les mouvements de particules soumises à des phénomènes de diffusion.

Comment NIR la notion de solution d’une Equation stochastique ?

Nous avons maintenant tous les elements en main pour de nir la notion de solution d’une equation di erentielle stochastique (EDS), de la forme dx t= f(x t;t)dt+ g(x t;t)dB t; (3.1) ou f;g: R [0;T] Rsont des fonctions deterministes mesurables. De nition 3.1. Un processus stochastique fxtg

Qu'est-ce que les Equations dierentielles stochastiques ?

Introduction aux equations di erentielles stochastiques Nils Berglund Janvier 2005 1 Le mouvement Brownien Les equations di erentielles stochastiques servent de modele mathematique a des systemes faisant intervenir deux types de forces, l’une deterministe et l’autre aleatoire.

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