105.090 AKVFM Stochastic analysis in financial and actuarial mathematics 1

2006W, VO, 2.0h, 3.0EC

Properties

  • Semester hours: 2.0
  • Credits: 3.0
  • Type: VO Lecture

Aim of course

Introduction to mathematical theories, which are applied in financial and actuarial mathematics. Each chapter will be motivated and recent results will be presented.

Subject of course

Theorie of polish spaces, notions of convergence in pronbability theory, martingales in discrete and continuous time, Gaussian processes, Brownian motion, stochastic integration with respect to continuous semimartingales, Ito's formula, Girsanov's theorem, stochastic differential equations, Introduction to Malliavin Calculus, Clarc-Ocone Formula, Hoermander's theorem, Poisson process, general theory of stochastic processes, Levy-processes

Lecturers

Institute

Course dates

DayTimeDateLocationDescription
Mon13:00 - 14:3009.10.2006 - 25.01.2007FH Hörsaal 3 - MATH TEICHMANN
AKVFM Stochastic analysis in financial and actuarial mathematics 1 - Single appointments
DayDateTimeLocationDescription
Mon09.10.200613:00 - 14:30FH Hörsaal 3 - MATH TEICHMANN
Mon16.10.200613:00 - 14:30FH Hörsaal 3 - MATH TEICHMANN
Mon23.10.200613:00 - 14:30FH Hörsaal 3 - MATH TEICHMANN
Mon30.10.200613:00 - 14:30FH Hörsaal 3 - MATH TEICHMANN
Mon06.11.200613:00 - 14:30FH Hörsaal 3 - MATH TEICHMANN
Mon13.11.200613:00 - 14:30FH Hörsaal 3 - MATH TEICHMANN
Mon20.11.200613:00 - 14:30FH Hörsaal 3 - MATH TEICHMANN
Mon27.11.200613:00 - 14:30FH Hörsaal 3 - MATH TEICHMANN
Mon04.12.200613:00 - 14:30FH Hörsaal 3 - MATH TEICHMANN
Mon11.12.200613:00 - 14:30FH Hörsaal 3 - MATH TEICHMANN
Mon18.12.200613:00 - 14:30FH Hörsaal 3 - MATH TEICHMANN
Mon25.12.200613:00 - 14:30FH Hörsaal 3 - MATH TEICHMANN
Mon01.01.200713:00 - 14:30FH Hörsaal 3 - MATH TEICHMANN
Mon08.01.200713:00 - 14:30FH Hörsaal 3 - MATH TEICHMANN
Mon15.01.200713:00 - 14:30FH Hörsaal 3 - MATH TEICHMANN
Mon22.01.200713:00 - 14:30FH Hörsaal 3 - MATH TEICHMANN

Examination modalities

oral exam

Course registration

Not necessary

Curricula

Study CodeObligationSemesterPrecon.Info
No records found.

Literature

Oksendal: Stochastic Differential Equations: An Introduction with Applications More literature will be told in the lecture.

Accompanying courses

Continuative courses

Language

German