Introduction to quantitative finance
Enseignant responsable :
Volume horaire : 21Description du contenu de l'enseignement :
The goal of this course is to provide a good background in quantitative finance. After some reminders on probability theory (change of probability measure, random variables, usual distributions, conditioning), the course is planed as follows: 1) Classical financial market modeling: stochastic basis, stochastic processes, price processes and self financing portfolio processes in discrete-time. Examples of price dynamics and portfolio dynamics in continuous time; interpretation by discretization. 2) Fundamental theorem of asset pricing; pricing of European and Asian options. 3) Examples of pricing by Monte Carlo numerical simulations. Programming in Python applied to classical models, e.g. the Black and Scholes model.
Pré-requis recommandés :
Il est préférable de vous mettre à niveau sur les notions suivantes: intégrales de Riemann, espace probabilisé, tribu, espérance, espérance conditionnelle.
Coefficient : 0.5Compétence à acquérir :
Théorie des probabilités et mathématiques financières.