Syllabus

Title
4719 Mathematical Methods 2
Instructors
Gabriela Kovacova, DPhil
Contact details
Type
PI
Weekly hours
2
Language of instruction
Englisch
Registration
05/17/17 to 05/23/17
Registration via LPIS
Notes to the course
Subject(s) Bachelor Programs
Dates
Day Date Time Room
Wednesday 05/24/17 09:00 AM - 11:30 AM TC.5.04
Friday 05/26/17 09:00 AM - 12:00 PM TC.3.11
Wednesday 05/31/17 02:00 PM - 05:00 PM D5.1.002
Thursday 06/01/17 02:00 PM - 05:30 PM D4.0.019
Wednesday 06/07/17 02:00 PM - 05:00 PM TC.3.11
Thursday 06/08/17 02:00 PM - 05:30 PM TC.5.13
Tuesday 06/13/17 02:00 PM - 05:30 PM TC.3.11
Wednesday 06/14/17 02:00 PM - 05:30 PM D2.0.326
Wednesday 07/05/17 02:00 PM - 04:00 PM TC.3.12
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
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.
Assessment
  • 3 written tests (each weights 25% of the final grade)
  • homework assignments (25% of the final grade) , students will be asked to present their solutions in the class, presentation of the solutions is also counted towards the grade
  • 1 optional extra test, replaces the one of the three previous test results with the fewest points

The written tests will be strongly related to the problems already discussed in class. Additional exercises can be solved for extra points.

Grading key:

1:  >= 85%

2:  >= 78%

3:  >= 60%

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

Availability of lecturer(s)
gabriela.kovacova@wu.ac.at
Other
Course Readings:The material will be made available at Learn@WU.
Last edited: 2017-02-23



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