Fourth semester of the UNESCO Chair at LAMSIN

Mathematical Modelling in Finance

Tunis, september 12 - december 17, 2005

COORDINATOR : Elyès Jouini  (University of  Paris Dauphine)

CO-COORDINATOR : Mohamed Mnif (Ecole Nationale d'Ingénieurs de Tunis)

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Poster fourth semester (pdf)

Object of the program

Lecturers

Organizing committee

Course contents

Calendar

Audience and Prerequisites

Costs and scholarships


Request for participation( .txt)

Request for financial assistance( .txt) (deadline  May 15, 2005)

Contact


Object of the program

Financial Mathematics is now a flourishing area of modern science. Since the pioneering works of Black, Scholes and Merton, research has led to the rapid development of a substantial body of knowledge, with plenty of applications to the common functioning of the world's financial institutions. For a responsible approach to the trading, asset management and risk control of complicated financial positions, a solid knowledge on the foundations and techniques of quantitative finance is essential.

This set of courses describe the state of the art in the field of financial mathematics. The first part will be devoted to fundamental courses which present the necessary mathematical tools to model financial market problems. The other courses will present to the public other subjects which know a recent development such that problems of risk management and stochastic control. All of these courses will give a complete formation which goes from mathematical modelling to numerical implementation.

Lecturers

 Rama Cont, Ecole Polytechnique, France
Nicole ElKaroui, Ecole Polytechnique, France
Monique Jeanblanc, University of Evry, France
Elyès Jouini, University of Paris IX - Dauphine, France
Arturo Kohatsu-Higa, INRIA Rocquencourt, France
Damien Lamberton, University of Marne - la-Vallée, France
Anis Matoussi, University of Le Mans, France
 Monique Pontier, University of Paul Sabatier Toulouse, France
Wolfgang Johann Runggaldier, University of Padova, Italy
Walter Schachermayer, Vienna University of Technology, Austria
Mete Soner, Koc University, Turkey
Agnès Sulem, INRIA Rocquencourt, France
Nizar Touzi, CREST, France


Organizing committee

Lamia Belaid Jaffar,  Amina Bouzguenda Zeghal, Mohamed Mnif

Course contents

The courses will be given in French and/or in English, depending on the composition of the audience.

    A- Mathematical Finance.
    B- Stochastic Control.

    C- Risk Management.

Calendar

Courses are scheduled in the "Chaire Unesco" classroom, 1st floor of the "Pavillon Osman Bahri", at "Enit" (Ecole Nationale des Ingénieurs de Tunis).

Weeks

Lecturer

Course

12th to 17th sep
Walter Schachermayer Arbitrage
19th to 24th sep
Elyès Jouini Financial markets and equilibrium models pdf
26th sep to 1st oct
Monique Pontier Stochastic calculus and diffusion models pdf
3th oct to 7th oct
Anis Matoussi Backward  Stochastic Differential Equations and application in PDE and in Finance pdf
17th to 22th oct
Wolfgang Johann Runggaldier
Interest rate models
17th to 22nd oct
Agnès Sulem
Numerical methods in finance
24th to 29th oct
Monique Jeanblanc
Credit risk models
31th oct to 2th nov
Arturo Kohatsu-Higa
Insider problems with finite utility
21th to 26th nov
Damien Lamberton
American options
21st to 26th nov
Rama Cont
Inverse problems in finance
26th to 30th nov
Nicole El Karoui
Risk measure
5th to 10th dec
Nizar Touzi
Super-replication models
12th to 17th dec
Mete Soner
Stochastic optimal control in finance

First week :  september 12 - 17

C1: Arbitrage ( Walter Schachermayer)


Days
9h00-12h00
Monday
C1
Tuesday
C1
Wednesday
C1
Thirsday
C1
Friday
C1

Second week : september 19 - 24

C2: Financial markets and equilibrium models ( Elyès Jouini)


Days
9h00-12h00
Monday
C2
Tuesday
C2
Wednesday
C2
Thirsday
C2
Friday
C2

Third week : september 26 - october 1

C3: Stochastic calculus and diffusion models (Monique Pontier)


Days
16h00-19h00
Monday
C3
Tuesday
C3
Wednesday
C3
Thirsday
C3
Friday
C3

4th week :  october 3 - 7

C4: Backward Stochastic Differential Equations and application in PDE and in Finance (Anis Matoussi)


Days
9h00-12h00
Monday  oct 3
C4
Tuesday  oct  4
C4
Wednesday oct 5
C4
Thirsday oct 6
C4
Friday oct 7
C4

6th week : october 17 - 22

C5: Interest rate models (Wolfgang Johann Runggaldier)

C6: Numerical methods in finance (Agnès Sulem)

        
Days
 9h00-12h00
13h00-16h00
Monday
C5
C6
Tuesday
C5
C6
Wednesday
C5 C6
Thirsday
C5 C6
Friday
C5 C6

7th week : october 24 - 29

C7: Credit risk models (Monique Jeanblanc)


Days
9h00-12h00
Monday
C7
Tuesday
C7
Wednesday
C7
Thirsday
C7
Friday
C7

 8th week : october 31 - november 2

C8: Insider problems with finite utility (Arturo Kohatsu-Higa)


Days
9h00-12h00
14h00-17h00
Monday  oct 31
C8
C8
Tuesday nov 1
C8
C8
Wednesday nov 2
C8

10th week : november 21 - 26

C9: American options (Damien Lamberton)

C10: Inverse problems in finance (Rama Cont)


Days
9h00-12h00
14h00-17h00
Monday
C9
C10
Tuesday
C9
C10
Wednesday
C9
C10
Thirsday
C9
C10
Friday
C9
C10

11th week : november 26 - december 1

C11: Risk measure (Nicole El Karoui )


Days
9h00-12h00
Saturday
C11
Monday
C11
Tuesday
C11
Wednesday
C11
Thirsday
C11

12th week : december 5 - 10

C12: Super-replication models (Nizar Touzi )


Days
9h00-12h00
Monday
C12
Tuesday
C12
Wednesday
C12
Thirsday
C12
Friday
C12

13th wek : december 12 - 17

C13: Stochastic optimal control in finance (Mete Soner)


Days
9h00-12h00
Monday
C13
Tuesday
C13
Wednesday
C13
Thirsday
C13
Friday
C13

Audience and Prerequisites

The course is Master's level. It's open to students, reseachers and teachers.

Costs and scholarships

There is no registration fee for the course.
Some fellowships for reimbursing living and travel expenses will be granted to PhD students from African countries who are sponsored by their universities.

Contact

Mohamed Mnif

ENIT
1002 TUNIS BELVEDERE
TUNISIE
Téléphone: +216 71 874 700 (poste 559) / 71 871 022
Fax :
+216 71 871 022

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