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Stochastic Differential Equations

Prof. Dr. Christian Bender

This lecture course covers the theory of weak and strong solutions of stochastic differential equations and their applications to continuous-time financial models.

Topics include:

  • Linear differential equations with additive noise
  • Ito calculus (including Ito’s formula)
  • Strong solutions to stochastic differential equations
  • Weak solutions to stochastic differential equations
  • Girsanov’s theorem and the martingale representation theorem
  • Applications to arbitrage and pricing in continuous-time finance

 

Lectures

Mondays, 12:30-2:00pm, Hörsaal III (building E2 5).

 

Tutorials

Wednesdays, 09:15 -10:00am, Seminarraum 9 (building E2 4). Start date: 24/04.

 

Language

The course (lectures and tutorials) will be taught in English, unless all participants agree on German.  The oral exam can be taken in English or in German.

 

Recommended Prerequisites

  • Stochastik I
  • Stochastics II 

 

References

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