TMA285/MMA711, Financial derivatives and partial differential equations, 2017/18

Latest news

Welcome to the course! The schedule for the course can be found in TimeEdit.

01-08: Lecture notes, program and info on the assignments added

01-10: Info on exam added, see here


01-22: Students representatinves added, see here

01-25: I uploaded a version of the lecture notes with hyperlinks, which is more suitable for reading on a computer/tablet. The text is exacly the same as the version without the hyperlinks. See here

02-12: I uploaded a list of errata for the lecture notes, see here. Note in particular errata n. 15 !!!

03-05: IMP!! A new version of the lecture notes with the typos corrected is now available here

03-15: Solution to the exam on Tuesday 13 March (pdf)

Teachers

Course coordinator:  Simone Calogero (calogero@chalmers.se). Office L2091


Student representatives:

 

MPENM            adityab@student.chalmers.se                  ADITYA BHADRAVATHI SRIDHARA

MPENM            sanjan@student.chalmers.se                   SANDRA JANSSON

MPCAS              fabmik@student.chalmers.se                  FABIAN MIKULASCH

Utbyte               eric.moebius@gmx.de                              ERIC MÖBIUS


Course literature

Simone Calogero: Stochastic Calculus, Financial Derivatives and PDE's 
                           
                           

Program

Remark: The content of the lectures is only indicative


Lectures

Day
Time Contents
Room
Måndag 01-15
13:15-15:00
Chapter 1-2
MVF21
Onsdag 01-17
10:00-11:45
Chapter 2-3
Pascal
Torsdag 01-18
15:15-17:00
Chapter 3-4
Pascal
Fredag 01-19
13:15-15:00
Chapter 4
MVF21
Måndag 01-2213:15-15:00Chapter 5MVF21
Onsdag 01-2410:00-11:45Chapter 5Pascal
Torsdag 01-2515:15-17:00Chapter 5Pascal
Fredag 01-2613:15-15:00Chapter 5MVF21
Måndag 01-2913:15-15:00Sec. 6.1-6.2MVF21
Onsdag 01-3110:00-11:45Sec. 6.3Pascal
Torsdag 02-01NO LECTURE*******************************
Fredag 02-0213:15-15:00Sec. 6.4MVF21
Måndag 02-0513:15-15:00Sec. 6.5MVF21
Onsdag 02-0710:00-11:45Sec. 6.5Pascal
Torsdag 02-0815:15-17:00Sec. 6.8Pascal
Fredag 02-0913:15-15:00Sec. 6.8MVF21
Måndag 02-1213:15-15:00Sec. 6.6MVF21
Onsdag 02-1410:00-11:45Sec. 6.6Pascal
Torsdag 02-1515:15-17:00Sec. 6.7Pascal
Fredag 02-1613:15-15:00Sec. 6.7MVF21
Måndag 02-19NO LECTURE********************************
Onsdag 02-2110:00-11:45Project assistanceMy office
Torsdag 02-2215:15-17:00Project assistanceMy office
Fredag 02-2313:15-15:00Project assistanceMy office
Måndag 02-2613:15-15:00Sec. 6.9MVF21
Onsdag 02-2810:00-11:45Sec. 6.9Pascal
Torsdag 03-0115.15-17:00Appendix 6.CPascal
Fredag 03-0213:15-15:00Appendix 6.CMVF21

Recommended exercises

The recommended exercises are those marked with the symbol (●)  in the lecture notes and
whose solution can be found at the end of each chapter. We shall go trough the solution of some of
these exercises during the course.

In the last week all solutions in Appendix 6.C will be reviewed (except 6.10)

Computer labs



Reference literature:

Learning MATLAB, Tobin A. Driscoll ISBN: 978-0-898716-83-2 (The book is published by SIAM).

Course requirements

The learning goals of the course can be found in the course plan.

Assignments

The are two types of assignments:

-  Exercises: There are 9 exercises in the lecture notes which are marked with the symbol (☆).    The assignment consists in finding these exercises and solve them.
Bonus points: Max. 2 points. Deadline for submission: February 2nd

- Matlab project: One of the two projects at the end of Chapter 6, namely The Asian Option (app. 6.A) or the CEV model (app. 6.B).  

Bonus points: Max. 2 points. Deadline for submission: March 2nd

Remarks:

(1) The assignments are not compulsary, although strongly recommended
(2) The assignments can be carried out in groups of max. 3 students
(3) On week 6th of the course there will be no lecture, so that you can focus on writing your project.
      I will be in my office during the lectures hours to answer your questions and help you with the project

Examination

The exam is on March 13 2018, h.8.30


The test comprises 15 points and to pass at least 6 points are required
- at GU a result greater than or equal to 11 points is graded VG;
- at Chalmers a result greater than or equal to 9 points and smaller than 12 points is graded 4 and a result greater than or equal to 12 points is graded 5.

The assigments give max. 4 points

The test is divided in three parts, each one giving a maximum of 5 points.

One part will be of theoretical nature and will require to prove one or more of the following theorems (max. 4 points) :

Theorem 6.1, Theorem 6.2, Theorem 6.4, Theorem 6.8, Theorem 6.10, Theorem 6.12, Theorem 6.13, Theorem 6.14, Theorem 6.16, Theorem 6.19, Theorem 6.20, Theorem 6.21, Theorem 6.24


and to provide and explain one of the following definitions (max. 1 point):

Definition 6.1, Definition 6.2, Definition 6.3, Definition 6.5, Definition 6.6, Definition 6.8, Definition 6.10, Definition 6.11


Remarks:
(i) If in the exam it is asked to prove theorem X and the proof requires the result of theorem Y, you don't need to prove also Y
(ii) When asked to prove one of the above theorems, the question does not necessarily contain the exact statement as it appears in the lecture notes. For instance, a question asking to prove theorem 6.20 could read like "Show that, under appropriate assumptions, it is never optimal to exercise an American call prior to maturity".
(iii) The explanation of the definition need not be the same as in the lecture notes. You can use your own intuition.

The other two parts consists of exercises; the exercise(s) in the second part will be taken from Appendix 6.C

Examination procedures

In Chalmers Student Portal you can read about when exams are given and what rules apply on exams at Chalmers. In addition to that, there is a schedule when exams are given for courses at University of Gothenburg.

Before the exam, it is important that you sign up for the examination. If you study at Chalmers, you will do this by the Chalmers Student Portal, and if you study at University of Gothenburg, you sign up via GU's Student Portal.

At the exam, you should be able to show valid identification.

After the exam has been graded, you can see your results in Ladok by logging on to your Student portal.

At the annual (regular) examination:
When it is practical, a separate review is arranged. The date of the review will be announced here on the course homepage. Anyone who can not participate in the review may thereafter retrieve and review their exam at the Mathematical Sciences Student office. Check that you have the right grades and score. Any complaints about the marking must be submitted in writing at the office, where there is a form to fill out.

At re-examination:
Exams are reviewed and retrieved at the Mathematical Sciences Student office. Check that you have the right grades and score. Any complaints about the marking must be submitted in writing at the office, where there is a form to fill out.

Old exams

March 2017 (pdf),    June 2017 (pdf),     August 2017 (pdf)

The solutions can be found in the lecture notes, Appendix 6.C