Duration
30h Th
Number of credits
| Master in economics : general (120 ECTS) | 5 crédits | |||
| Master in business engineering (120 ECTS) | 5 crédits | |||
| Master in business engineering (120 ECTS) (Digital Business) | 5 crédits | |||
| Master in mathematics (120 ECTS) | 5 crédits | |||
| Master in mathematics (60 ECTS) | 5 crédits |
Lecturer
Language(s) of instruction
English language
Organisation and examination
Teaching in the second semester
Schedule
Units courses prerequisite and corequisite
Prerequisite or corequisite units are presented within each program
Learning unit contents
The bases of probability theory and stochastic processes are introduced. Then, applications are presented w.r.t. continuous time stochastic finance (stochastic calculus, option pricing models, interest rate models). An introduction to Markov chains is also presented.
Learning outcomes of the learning unit
- Give the rigorous mathematical bases of stochastic processes and stochastic calculus.
- Apply these bases to some financial models.
Intended Learning Outcomes addressed by the course :
- Strengthening knowledge and understanding of basic management disciplines in order to use them to perform a rigorous analysis of a management situation and provide pertinent solutions
- Gaining the knowledge and understanding of the fields of financial engineering
- Understanding and being capable of using modelization methods, applied to the financial field
- Developing a transversal, global vision
Prerequisite knowledge and skills
- Basic probability theory ; - Financial securities (interest rates, derivatives).
Planned learning activities and teaching methods
The sessions are mainly based on the presentation of the theoretical frame by the teacher and the practice of exercices and applications by the students. The teacher expects the students to actively participate during the sessions, for instance via Wooclap or other surveys.
Some sessions will be dedicated to practical exercises.
Mode of delivery (face to face, distance learning, hybrid learning)
Face-to-face course
Additional information:
Ex-cathedra sessions where the presentation of theoretical concepts and the resolution of exercises by the students will be mixed. Some sessions will be particularly dedicated to exercises in order to allow students to face the subject and ask their questions to the teacher.
Recommended or required readings
Slides used during the lessons are available on Lola.
References:
MIKOSCH T., Elementary stochastic calculus with finance in view, World Scientific, 1998.
Portrait, R., & Poncet, P. (2014). Finance de marché: instruments de base, produits dérivés, portefeuilles et risques. Dalloz.
Hull, J. C. (2018) Option, Futures, and Other Derivatives, Tenth edition. Pearson
Exam(s) in session
Any session
- In-person
written exam ( open-ended questions )
Written work / report
Additional information:
Final grade is based on
- a project 25%
- a written exam with open questions 75% (a form will be provided at the exam)
In case of a resit, an exemption will be automatically given for the possible passed part (at least 10/20). In case of a resit failure, no partial exemption will be given for next year.
Work placement(s)
Organisational remarks and main changes to the course
The course is taught in English.
Lessons will not be recorded.
Contacts
Professor
Élise Vandomme
HEC- Management School of the University of Liege (building N1)
e-mail : Elise.Vandomme@uliege.be
Office: N1a - 304
Teaching Assistant
Emeline Leloup
HEC- Management School of the University of Liege (building N1)
email: emeline.leloup@uliege.be
Office: N1a - 310
Association of one or more MOOCs
Items online
syllabus
slides