105.639 Interest rate models and derivatives
This course is in all assigned curricula part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.

2019W, VU, 3.0h, 4.0EC

Properties

  • Semester hours: 3.0
  • Credits: 4.0
  • Type: VU Lecture and Exercise

Learning outcomes

After successful completion of the course, students are able

  • to understand the usual methods to model the term structure models (e.g., Short-rate, HJM, LIBOR)
  • to model the term structures (interest rate)
  • to evaluate the interest rate derivatives.

Subject of course

  • Modelle in diskreter Zeit:
    • Elementare Theorie der Zinsen (Barwert, innere Zinsrate, Rendite, Duration, Konvexität, Immunisierung),
    • Terminzinsen und Erklärung der Struktur, Zinsstrukturerwartungstheorie, Binomialgitter und -bäume für die Bewertung von Zinsderivaten, Leveling
  • Modelle in stetiger Zeit:
    • Modelle für kurzfristige Zinsen (Vasicek-Modell, Cox-Ingersoll-Ross-Modell, affine Modelle), Preisprozesse für Anleihen und zugehörige europäische Optionen,
    • Modelle für Terminzinsen (Heath-Jarrow-Morton-Modell)

Teaching methods

  • Blackboard presentation
  • Discussion of concrete examples

 

Mode of examination

Oral

Lecturers

  • Yang, Junjian

Institute

Course dates

DayTimeDateLocationDescription
Wed09:00 - 12:0002.10.2019 - 29.01.2020FH Hörsaal 2 Interest rate models and derivatives
Interest rate models and derivatives - Single appointments
DayDateTimeLocationDescription
Wed02.10.201909:00 - 12:00FH Hörsaal 2 Interest rate models and derivatives
Wed09.10.201909:00 - 12:00FH Hörsaal 2 Interest rate models and derivatives
Wed16.10.201909:00 - 12:00FH Hörsaal 2 Interest rate models and derivatives
Wed23.10.201909:00 - 12:00FH Hörsaal 2 Interest rate models and derivatives
Wed30.10.201909:00 - 12:00FH Hörsaal 2 Interest rate models and derivatives
Wed06.11.201909:00 - 12:00FH Hörsaal 2 Interest rate models and derivatives
Wed13.11.201909:00 - 12:00FH Hörsaal 2 Interest rate models and derivatives
Wed20.11.201909:00 - 12:00FH Hörsaal 2 Interest rate models and derivatives
Wed27.11.201909:00 - 12:00FH Hörsaal 2 Interest rate models and derivatives
Wed04.12.201909:00 - 12:00FH Hörsaal 2 Interest rate models and derivatives
Wed11.12.201909:00 - 12:00FH Hörsaal 2 Interest rate models and derivatives
Wed18.12.201909:00 - 12:00FH Hörsaal 2 Interest rate models and derivatives
Wed08.01.202009:00 - 12:00FH Hörsaal 2 Interest rate models and derivatives
Wed15.01.202009:00 - 12:00FH Hörsaal 2 Interest rate models and derivatives
Wed22.01.202009:00 - 12:00FH Hörsaal 2 Interest rate models and derivatives
Wed29.01.202009:00 - 12:00FH Hörsaal 2 Interest rate models and derivatives

Examination modalities

Oral exam and exercises

Course registration

Begin End Deregistration end
05.09.2019 00:00 24.11.2019 23:59 24.11.2019 23:59

Curricula

Study CodeObligationSemesterPrecon.Info
066 405 Financial and Actuarial Mathematics Mandatory
860 GW Optional Courses - Technical Mathematics Not specified

Literature

  • ANDERSEN, L.G.B., V.V. PITERBARG: Interest Rate Modeling. Volume 1: Foundations and Vanilla Models. 2010, Atlantic Financial Press, ISBN 9780984422104
  • ANDERSEN, L.G.B., V.V. PITERBARG: Interest Rate Modeling. Volume 2: Term Structure Models. 2011, Atlantic Financial Press, ISBN 9780984422111
  • ANDERSEN, L.G.B., V.V. PITERBARG: Interest Rate Modeling. Volume 3: Products and Risk Management. 2012, Atlantic Financial Press, ISBN 9780984422128
  • BRIGO, D., F. MERCURIO: Interest Rate Models - Theory and Practice. (2nd edition), Springer Finance, 2007, Springer, ISBN 9783540221494
  • CAIRNS, A.J.G.: Interest Rate Models. An Introduction. 2004, Princeton University Press, ISBN 0691118949
  • FILIPOVIC, D.: Term-Structure Models. Springer Finance Textbook, 2009, Springer, ISBN 9783540097266
  • LUENBERGER, D.G.: Investment Science. 1998, Oxford University Press, ISBN 0195108094
  • MUSIELA, M., M. RUTKOWSKI: Martingale Methods in Financial Modelling. (2nd edition), Stochastic Modelling and Applied Probability, Vol. 36, 2005, Springer, ISBN 3540209662, ISSN 01724568
  • REBONATO, R.: Modern Pricing of Interest-Rate Derivatives. 2002, Princeton University Press, ISBN 0691089736

Preceding courses

Miscellaneous

Language

if required in English