Syllabus

Title
4549 Mathematical Methods - Financial Mathematics
Instructors
Kory Johnson, M.A.,Ph.D.
Contact details
Type
PI
Weekly hours
2
Language of instruction
Englisch
Registration
04/27/20 to 05/01/20
Registration via LPIS
Notes to the course
Subject(s) Bachelor Programs
Dates
Day Date Time Room
Tuesday 05/05/20 09:30 AM - 12:00 PM Online-Einheit
Thursday 05/07/20 03:30 PM - 06:00 PM Online-Einheit
Tuesday 05/12/20 09:30 AM - 12:00 PM Online-Einheit
Thursday 05/14/20 03:30 PM - 06:00 PM Online-Einheit
Tuesday 05/19/20 09:30 AM - 12:00 PM Online-Einheit
Tuesday 05/26/20 09:30 AM - 12:00 PM Online-Einheit
Thursday 05/28/20 03:30 PM - 06:00 PM Online-Einheit
Tuesday 06/02/20 09:30 AM - 12:00 PM Online-Einheit
Thursday 06/04/20 03:30 PM - 06:00 PM Online-Einheit
Tuesday 06/09/20 09:30 AM - 12:00 PM Online-Einheit
Tuesday 06/16/20 09:30 AM - 12:00 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

Attendance requirements are suspended for the entire distance-learning period. As expected, however, lecture time is instrumental for effectively learning the material. The final exam is anticipated to take place during the last lecture of the semester. This will be discussed and finalized during the course.

Teaching/learning method(s)

The class is mainly taught as a combination of lectures and exercises. Given the constraints of distance-learning, the lectures will not be focused on "presenting the slides." The slides contain significant explanations in natural language and are sufficient for self-study. Instead, lectures will focus on difficult sections or examples from the slides, student questions, and homework exercises. 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: 50%
  • group homework assignments: 50%
  • to receive a 1, an oral exam is required

Grading key:

1:  >= 86% & successful oral exam

2:  >= 74%

3:  >= 62%

4:  >= 50%

5:  < 50%

 

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: 2020-05-01



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