DE

Modul

Discrete Time Finance [M-MATH-102919]

Credits
8
Recurrence
Jedes Wintersemester
Duration
1 Semester
Language
Level
4
Version
1

Responsible

Organisation

  • KIT-Fakultät für Mathematik

Part of

Bricks

Identifier Name LP
T-MATH-105839 Discrete Time Finance 8

Competence Certificate

Written exam of 2h.

Competence Goal

Students are able to

  • understand, describe and use fundamental notions and techniques of modern discrete time finance,
  • use specific probabilistic techniques,
  • analyze mathematically economical questions in discrete option pricing and optimization,
  • work self-organized and in a reflective manner.

Prerequisites

none

Content

  • Finite financial markets
  • The Cox-Ross-Rubinstein-model
  • Limit to Black-Scholes
  • Characterizing no-arbitrage
  • Characterizing  completeness
  • Incomplete markets
  • American options
  • Exotic options
  • Portfolio optimization
  • Preferences and stochastic dominance
  • Mean-Variance portfolios
  • Risk measures

Recommendation

The content of the module „Probability theory“ is strongly recommended.

Workload

Total workload: 240 hours

Attendance: 90 h

  • lectures and examination

Self studies: 150 h

  • follow-up and deepening of the course content,
  • literature study and internet research on the course content,
  • preparation for the module examination