Syllabus

Title
4500 Mathematical Methods - Financial Mathematics
Instructors
Dr. Andrea Wagner
Contact details
Type
PI
Weekly hours
2
Language of instruction
Englisch
Registration
04/21/21 to 04/27/21
Registration via LPIS
Notes to the course
Dates
Day Date Time Room
Monday 05/03/21 02:00 PM - 04:30 PM Online-Einheit
Thursday 05/06/21 03:00 PM - 05:00 PM Online-Einheit
Monday 05/10/21 02:00 PM - 04:30 PM Online-Einheit
Monday 05/17/21 02:00 PM - 04:30 PM Online-Einheit
Thursday 05/20/21 03:00 PM - 05:00 PM Online-Einheit
Thursday 05/27/21 03:00 PM - 05:00 PM Online-Einheit
Monday 06/07/21 02:00 PM - 04:30 PM Online-Einheit
Thursday 06/10/21 03:00 PM - 05:00 PM Online-Einheit
Monday 06/14/21 02:00 PM - 04:30 PM Online-Einheit
Thursday 06/17/21 03:00 PM - 05:00 PM Online-Einheit
Contents
The course covers the following topics:
  • Discrete probability: basic concepts and elementary models, conditional expectation, martingales
  • The binomial asset pricing model
Learning outcomes

After completing this class the student will have the ability to:

  • describe and apply the basic concepts of discrete probability
  • describe and apply the binomial asset pricing model
Attendance requirements

Since this is a course with an immanent examination character (PI), attendance is mandatory. Students can miss two units without excuse, absenteeism in further units must be excused / justified by email. This applies regardless of the learning mode (presence mode or distance teaching via MS TEAMS).

Teaching/learning method(s)

The class is mainly taught as a combination of lectures and exercises with homework assignments. Students present their solutions which will be discussed in the group. The course also serves as a preparation for some of the mathematics lectures of the Master in Quantitative Finance curriculum.

Lecture periods will take place on Microsoft Teams. More information will be provided at the start of the teaching period.

Assessment
  • one written final exam: 45%
  • one written midterm exam: 45%
  • group homework assignments: 10%

There will be no opportunity to retake the exams.

Detailed information will be provided in the first unit of the course.

 

 

Prerequisites for participation and waiting lists
Having participated in the course "Mathematical Methods 1 -- Mathematische Grundlagen" is an advantage, but it is NOT a prerequisite for this course. The materials from "Mathematical Methods 1 -- Mathematische Grundlagen" will be made available.
Readings
1 Author: Pierre Brémaud
Title: An Introduction to Probabilistic Modeling

Publisher: Springer
Year: 1988
Type: Book
2 Author: Steven E. Shreve
Title: Stochastic Calculus for Finance I -- The Binomial Asset Pricing Model

Publisher: Springer
Year: 2005
Type: Book
Recommended previous knowledge and skills

Other
Course Readings:The material will be made available at Learn@WU.
Last edited: 2021-02-12



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