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2025-2026 / FINA0063-1

Advanced Statistical Methods in Finance

Durée

30h Th

Nombre de crédits

 Master en science des données, à finalité spécialisée5 crédits 
 Master : ingénieur civil en science des données, à finalité spécialisée5 crédits 
 Master en ingénieur de gestion, à finalité spécialisée en Financial Engineering5 crédits 
 Master en ingénieur de gestion, à finalité spécialisée en Financial Engineering (Digital Business - double diplomation avec la Faculté des Sciences Appliquées)5 crédits 
 Master en sciences économiques, orientation générale, à finalité spécialisée en macroeconomics and finance5 crédits 

Enseignant

Julien Hambuckers

Langue(s) de l'unité d'enseignement

Langue anglaise

Organisation et évaluation

Enseignement au premier quadrimestre, examen en janvier

Horaire

Horaire en ligne

Unités d'enseignement prérequises et corequises

Les unités prérequises ou corequises sont présentées au sein de chaque programme

Contenus de l'unité d'enseignement

This course is a statistical (data) modelling course, aiming at providing students with a fundamental knowledge of regression and statistical modelling techniques with applications in the fields of Finance and Economics, as well as being able to solve these problems with the help of the software R. It ambitions to give students a firm basis in data analysis and statistics for their master thesis. It is also of interest for students aiming at a PhD in economics/finance or wanting to prepare the FRM certification.

The course will mix statistics, financial econometrics and financial engineering classes. Starting from practical data modelling problems, I will explain the kind of statistical models that can be used to solve the problem and the underlying statistical theory. Then, during practical sessions, the students are expected to work by themselves on related exercises, with the aim to eventually conduct realistic data analyses. During these practical session, a teaching will be available for questions.

Regarding the statistics/financial econometrics part, I will cover topics related to classical and advanced statistics/regression techniques (linear regression, Generalized Linear Model) and machine learning methods (LASSO, neural network, random forest). I will also discuss the notion of prediction and classification tasks in social sciences. Related problems such as inference and model selection will also be covered.

Regarding applications, topics related to predictive regression analysis (for linear and nonlinear models), classification problems and optimal portfolio allocation will be considered. This list is open to suggestions and will evolve according to students' proficiency and interests. 

The final grade consists in a data analysis project per group of two students, either choosen by the students (after acceptance by me) and motivated by an existing research question in the financial or economic literature, or imposed by the lecturer. In the former, examples include the replication of an existing paper or the first step of a master thesis. In the latter case, examples of previous projects were related to portfolio optimization with machine learning methods, but it might evolve depending on the interests of the students. The students will have to hand out a term paper detailing the data analysis, and defend it in front of the class during a seminar session (this will take place either during the last class, or the week after). There is no written exam in January. This grade might be complemented by an intermediate presentation related to the group work (details will be announced at the beginning of the class).

For the second session, students are expected to conduct an imposed replication exercise of a research article, and to present it. At that occasion, theoretical knowledge of the course will be stressed.

The course is taught in English.

Acquis d'apprentissage (objectifs d'apprentissage) de l'unité d'enseignement

At the end of this course, the students are expected to:

- have a theoretical understanding of advanced regression and statistical learning methods, and to be able to explain the theoretical foundations of these models,

- understand the notions of model selection and high dimensionality problems, and to be able to explain these concepts,

- identify the various situations and types of data for which these models are useful (binary or categorical outcomes, daily time series, ratio, etc.), and be able to explain why they chose a particular model to analyse these data.

- be able to write scripts in R, using existing routines or implementing their own solution, to estimate these models and conduct a data modelling exercise,

- be able to read and understand scientific methodological articles, to implement the proposed methodology.

In addition, the students will develop the following competences:

- use of a foreign language (English, with emphasis on a scientific vocabulary),

- writing of a term paper,

- ability to present oraly scientific concepts,

- ability to work autonomously.

 

Savoirs et compétences prérequis

- Advanced knowledge and interest for statistics and programming. In particular, a good understanding of bachelor courses like "Probabilite et Inference statistiques", "Models and Methods in Applied Statistics" or "Econometrics" is a prerequisite for the statistical side.
- Courses or self-teaching of the fundamentals of programs like R, VBA or Python is a good basis. Learning material for a crash-course in R will be provided, relying on the learning platform Datacamp (https://www.datacamp.com/)
- Courses like Advanced Econometrics, Empirical Methods in Financial Markets, Seminar in Applied Econometrics, Financial Risk Modelling are good pre-requisites or complements.
 

Activités d'apprentissage prévues et méthodes d'enseignement

Ex-cathedra lectures (theory), exercises, oral presentation during seminars, self reading of scientific articles.

Mode d'enseignement (présentiel, à distance, hybride)

Face-to-face.

Supports de cours, lectures obligatoires ou recommandées

Plate-forme(s) utilisée(s) pour les supports de cours :
- LOL@


Informations complémentaires:

The main references will be: 

The Elements of. Statistical Learning: Data Mining, Inference, and Prediction. Second Edition. February 2009. Trevor Hastie Robert Tibshirani.

An Introduction to Statistical Learning: with Applications in R, by G. James et al. (2013). 

Regression: Models, Methods and Applications. Berlin: Springer-Verlag. by Fahrmeir, Ludwig; Kneib, Thomas; Lang, Stefan; Marx, Brian (2013).

Empirical asset pricing via machine learning S Gu, B Kelly, D Xiu The Review of Financial Studies 33 (5), 2223-2273

Financial machine learning, B Kelly, D Xiu, Foundations and Trends in Finance 13 (3-4), 205-363


 
There will be complemented by slides.

 

 

Modalités d'évaluation et critères

Examen(s) en session

Toutes sessions confondues

- En présentiel

évaluation orale

Travail à rendre - rapport

Interrogation(s) hors session


Informations complémentaires:

- Participation to the intermediate seminar, where students are expected to present a section of a research article.

- Written report presenting a data analysis related to the methods seen in class.

- Oral presentation (15 min + questions) during a seminar.

Stage(s)

Remarques organisationnelles et modifications principales apportées au cours

Contacts

Prof. Julien Hambuckers


email: jhambuckers[at]uliege.be

 

Teaching assistant: P. Hübner (phubner[at]uliege.be) and P-F. Weyders (pierre-francois.weyders[at]uliege.be)

Association d'un ou plusieurs MOOCs