The aim of this course is to provide students with basic skills in stochastic calculus and application to finance. At the end of the course, the students must be able to price simple derivative products on stocks and bonds and to use the concept of risk neutral pricing.
Main themes
After a presentation of discrete financial models introducing basic financial concepts, the stochastic calculus in a Brownian environment is developed. Applications in option theory and term structure of interest rates are presented.
Content and teaching methods
Content
The following topics will be developed:
1 Financial products
2. Discrete models
3. Stochastic calculus
4. Continuous time finance
Methods
In-class activities
X0 Lectures
X0 Exercices/PT
At home activities
X0 Exercices to prepare the lecture
X0 Paper work
Other information (prerequisite, evaluation (assessment methods), course materials recommended readings, ...)
Evaluation : Class participation and oral examination, in French