Mathematical Finance Autumn 2021

Lecturer
Prof. Dr. Dylan Possamaï
Coordinator
Calypso Herrera
Lectures
Tuesday 8:15-10:00 HG E 1.1
Thursday 8:15-10:00 ML F 36
Exercise classes
Friday 10:15-12:00 ML F 38
Start from the second week of the semester.
Course catalogue
401-4889-00L Mathematical Finance

Content

This is an advanced course on mathematical finance for students with a good background in probability. We want to give an overview of main concepts, questions and approaches, and we do this mostly in continuous-time models.

Some of the topics are:

Prerequisites

Students are assumed to be familiar with the content of the standard courses:
This course is the continuation of the Spring semester course
which focuses on models in finite discrete time. Although that course is not required, students who have attended it will have an advantage in terms of the ideas and concepts, so it is advisable for students to attend that course before the present one, when possible.

For an overview of courses offered in the area of mathematical finance, see link. More information about the prerequisite (and other) courses is available on the Group 3 website.

Lecture notes covering the material addressed during the lectures, as well as the content from the aforementioned prerequisites will be made available to the students through Polybox (you will receive a link and a password when the semester starts). Please note that the content of the notes often goes beyond that of the lectures, though only the material covered in class and during the exercise sessions is exigible. The notes will also be updated throughout the semester.

Course organisation

Lectures are for their great majority scheduled to be in-person. A few lectures during the semester may be either via Zoom or pre-recorded, but you will be notified in advance when this happens. In any case, the lectures will systematically be either live-streamed (see https://video.ethz.ch/live/lectures.html), or recorded (see https://video.ethz.ch/lectures.html or the shared Polybox folder).

Exercises

You are welcome to hand in your solutions in Calypso Herrera's box in HG G 53.2, even though it is not obligatory. In case you decide to submit your solutions, this needs to be done before Tuesday 18:00 of the due date. Your solutions will be then corrected and returned in the following exercise class or, if not collected, returned to the box. The first exercise sheet will be uploaded on the webpage of the course on Tuesday 28th of September and you will have until Tuesday 5th of September to hand in your solution.

exercise sheet due by solutions
Assignment 1 Tuesday, October 5th Solutions 1
Assignment 2 Tuesday, October 12th Solutions 2
Assignment 3 Tuesday, October 19th Solutions 3
Assignment 4 Tuesday, October 26th Solutions 4
Assignment 5 Tuesday, November 2th Solutions 5
Assignment 6 Tuesday, November 9th Solutions 6
Assignment 7 Tuesday, November 16th Solutions 7
Assignment 8 Tuesday, November 23th Solutions 8
Assignment 9 Tuesday, November 30th Solutions 9
Assignment 10 Tuesday, December 7th Solutions 10
Assignment 11 Tuesday, December 14th Solutions 11
Assignment 12 Tuesday, December 21th Solutions 12
Assignment 13 Tuesday, December 28th Solutions 13

Recalls

You can find all the recalls that were distributed during the exercises classes in recalls.zip.