Courses

MSc Finance: Compulsory Course. 

This course is only for Master of Finance Students.

Please contact Imma Curato via e-mail  to register for this course until Wednesday,  April 17th 2018, 12.00 giving  name, immatriculation number, semester and a field of study. Please give also your topic preferences (see below) and the names of the students with whom you would like to form a group. You can also directly register as a "group" sending a unique email in which the information regarding each students of the group are included.

The groups are composed by 3 students.

Just two groups of 4 students are allowed and only to prepare the topics 11 and 12.

Please register also in Hochschulportal!!! The registration will be possible in the second half of June.

25th April, Room 2.22 He 22, 15:00

The assignment of the topics and a preliminary schedule will be discussed during the first meeting.

If  an agreement on the topics and the composition of the groups is not reached, the Lecturer will assign the topics and form the group randomly.

1st June, Room 220, 10:00

Talks' Schedule:

Group A  10:00

Group B  10:20

Group C  10:40

Group D  11:05

In the short presentation you are supposed to give a general view about the topic you are working on and the main ideas. Each group member should present a part of the presentation. A more detailed description of the topic should be made in the final presentation. 

The presentation lasts 15 minutes + 5 minutes discussions (for the groups of 3 persons)

The presentation lasts 20 minutes + 5 minutes discussions (for the groups of 4 persons)

The paper should not exceed the 15 pages and has to be structured as following:

• Introduction
• Theory related to your topic
• Simulation results
• Conclusions
• Bibliography

The programming languages allowed in the course are Matlab and R.

The first version of the paper should be submitted as a hard copy and additionally send the .pdf file and the first version of the program via e-mail before  11th June at 15:00

Do not forget to explain which group member has done what and to add a signed declaration: " We hereby confirm that the seminar thesis is our own work and that we have used only the stated literature and other means." Please note that the corrected version should be attached to the final version.

All participants in the course are expected to be present during all talks except while attending different courses.

All corrections should be understood as suggestions for the authors.

Each group is, then, supposed to prepare a final paper and a program to present during the final meeting.

If I am not in my office, please hand in the paper to any other member of Institute of Mathematical Finance (Rooms 1.60-1.62, 2.29, 2.30)

 Final Talks:

13th July, Room 220, 9:00

Talks' Schedule:

Group A  9:00

Group B  9:50

10 minutes break

Group C  10:50

Group D  11:40

The final talk lasts  40 minutes + 5 minutes discussions

All participants in the course are expected to be present during all talks.

The firnal version of the paper should be submitted as a hard copy and additionally send the .pdf file and the programs via e-mail before 17th July at 15:00.

If I am not in my office, please hand in the paper to any other member of Institute of Mathematical Finance (Rooms 1.60-1.62, 2.29, 2.30)

Content:

• Use of a financial information system to obtain prices of standard or complex financial assets;
• Pricing and hedging of standard or complex derivative instruments - application of standard or advanced techniques; 
• Advanced stochastic simulation/numerical routines.

Preliminary

list of topics:

1. Brownian Motion and Geometric Brownian Motion (Glasserman, Section 3.1-3.2)
2. Gaussian short rate models (Glasserman, Section 3.3) 
3. CIR model and extentions (Glasserman, Section 3.4)
4. Processes with jumps (Glasserman, Section 3.5)
5. HJM/Forward rate models (Glasserman, Section 3.6)
6. LIBOR models (Glasserman, Section 3.7)
7. Discretization Methods (Glasserman, Section 6.1-6.2)
8. American options. Random trees (Glasserman, Section 8.3)
9. American options. Stochastic mesh methods (Glasserman, Section 8.5)
10. American options. Regression based methods (Glasserman, Section 8.6)
11. American options: Free bounduary problems (Seydel, Sections 4.1-4.7) (For a group of 4 persons)
12. Finite element methods and applications (Seydel, Section 5.1-5.5) (For a group of 4 persons)
13. Asian options (Seydel, Section 6.3)

• Glassermann, P.: Monte Carlo Methods in Financial Engineering, Springer 2003

•  Seydel, R.: Tools for Computational Finance, (Springer, Berlin), 4th edn., 2009

For stochastic calculus:

• Øksendal, B.: Stochastic Dierential Equations. (Springer, Berlin), 5th edn., 1998

• I. Karatzas, S. Shreve. Brownian motion and stochastic calculus, 2nd ed., Springer, 1991

Programming   

Languages:

Introduction to R

MIT Opencourseware Online course (Matlab)