105.054 Mathematical Finance: Discrete-Time Models

2008S, VU, 4.0h, 6.0EC

Properties

  • Semester hours: 4.0
  • Credits: 6.0
  • Type: VU Lecture and Exercise

Aim of course

A gentle introduction to mathematical finance: The mathematical theory of arbitrage, pricing and hedging of derivative securities in a discrete, elementary setting.

Subject of course

The one-period model (Arbitrage, risk neutral measure, pricing, complete markets, optimal portfolios) The multiperiod model (self-financing portfolios, duality, Dalang/Morton/Willinger theorem) Capital Asset Pricing Model (CAPM) The Binomial Model, Cox-Ross-Rubinstein Model, distribution of the maximum Markov Models Taking limits in the Binomial Model, Black-Scholes Model American Options, Snell envelope, Doop decomposition Optimal portfolios

Lecturers

Institute

Course dates

DayTimeDateLocationDescription
Mon16:00 - 18:0003.03.2008 - 23.06.2008FH Hörsaal 2 SCHMOCK
Tue10:00 - 12:0004.03.2008 - 24.06.2008FH Hörsaal 7 - GEO SCHMOCK
Mon16:00 - 17:4510.03.2008FH Hörsaal 3 - MATH SCHMOCK
Mon16:00 - 17:4531.03.2008 - 07.04.2008FH Hörsaal 3 - MATH SCHMOCK
Mon16:00 - 17:4514.04.2008GM 3 Vortmann Hörsaal SCHMOCK
Mon16:00 - 17:4521.04.2008 - 19.05.2008FH Hörsaal 3 - MATH SCHMOCK
Mon16:00 - 17:4526.05.2008FH 8 Nöbauer HS - MATH SCHMOCK
Mon16:00 - 17:4502.06.2008 - 23.06.2008FH Hörsaal 3 - MATH SCHMOCK
Mathematical Finance: Discrete-Time Models - Single appointments
DayDateTimeLocationDescription
Mon03.03.200816:00 - 18:00FH Hörsaal 2 SCHMOCK
Tue04.03.200810:00 - 12:00FH Hörsaal 7 - GEO SCHMOCK
Mon10.03.200816:00 - 17:45FH Hörsaal 3 - MATH SCHMOCK
Mon10.03.200816:00 - 18:00FH Hörsaal 2 SCHMOCK
Tue11.03.200810:00 - 12:00FH Hörsaal 7 - GEO SCHMOCK
Mon17.03.200816:00 - 18:00FH Hörsaal 2 SCHMOCK
Tue18.03.200810:00 - 12:00FH Hörsaal 7 - GEO SCHMOCK
Mon24.03.200816:00 - 18:00FH Hörsaal 2 SCHMOCK
Tue25.03.200810:00 - 12:00FH Hörsaal 7 - GEO SCHMOCK
Mon31.03.200816:00 - 17:45FH Hörsaal 3 - MATH SCHMOCK
Mon31.03.200816:00 - 18:00FH Hörsaal 2 SCHMOCK
Tue01.04.200810:00 - 12:00FH Hörsaal 7 - GEO SCHMOCK
Mon07.04.200816:00 - 17:45FH Hörsaal 3 - MATH SCHMOCK
Mon07.04.200816:00 - 18:00FH Hörsaal 2 SCHMOCK
Tue08.04.200810:00 - 12:00FH Hörsaal 7 - GEO SCHMOCK
Mon14.04.200816:00 - 17:45GM 3 Vortmann Hörsaal SCHMOCK
Mon14.04.200816:00 - 18:00FH Hörsaal 2 SCHMOCK
Tue15.04.200810:00 - 12:00FH Hörsaal 7 - GEO SCHMOCK
Mon21.04.200816:00 - 17:45FH Hörsaal 3 - MATH SCHMOCK
Mon21.04.200816:00 - 18:00FH Hörsaal 2 SCHMOCK

Examination modalities

Oral examination Active participation in the exercises

Course registration

Not necessary

Curricula

Study CodeObligationSemesterPrecon.Info
No records found.

Literature

Stanley R. Pliska: "Introduction to Mathematical Finance: Discrete Time Models" Daniel Lamberton, Bernard Lapeyre: "Stochastic Calculus Applied to Finance"0 Steven E. Shreve: "Stochastic Calculus Models for Finance I: The Binomial Asset Pricing Model" Hans Föllmer and Alexander Schied: "Stochastic finance. An introduction in discrete time." John Hull: "Options, Futures, and Other Derivatives"

Language

German