Stochastic Processes with application in Finance - 4MMPSAF6

Informations générales

  • Number of hours

    • Lectures 16.5
    • Projects -
    • Tutorials 16.5
    • Internship -
    • Laboratory works -
    • Written tests -

    ECTS

    ECTS 3.0

Goal(s)

This is an introduction to stochastic processes mainly through discrete time models.
Discrete time processes are introduced (Markov chains, martingales). Then the principles of mathematical finance are introduced through discrete time models.

Responsible(s)

Pierre ETORE

Content(s)

The main topics in this lecture are
1. Integration theory
2. Conditional expectations
3. Stochastic processes: generalities, Markov chains
4. Discrete time martingales
5. Discrete time models
6. Poisson process

Prerequisites

3MMPA1 Probability theory and Applications.
4MMMPA Recommended

Test

Evaluation : 25% of Devoir à la maison and 75% of Examen Ecrit (3h)

Resit : 25% of Devoir à la maison (reported score) and 75% of Examen Ecrit (2h)

homework (CC) and written final test (ET1 for session 1 and ET2 for session 2)

We have

N1 = 0.25 x CC1 + 0.75 x ET1

N2 = max( N1, 0.25 x CC2 + 0.75 x ET2) (with CC2=CC1)

Calendar

The course exists in the following branches:

  • Curriculum - Financial Engineering - Semester 7
see the course schedule for 2025-2026

Additional Information

Course ID : 4MMPSAF6
Course language(s): FR

The course is attached to the following structures:

  • Team Finance.
  • Team Probability-Statistics

You can find this course among all other courses.

Bibliography

Grimmett, G., Stirzaker, D. “Probability and Random Processes”, Oxford 3 edition 2001

Shreve, S.E., "Stochastic Calculus for Finance I : The Binomial Asset Pricing Model", Springer Finance 2003.