Markov-functional interest rate models
AbstractWe introduce a general class of interest rate models in which the value of pure discount bonds can be expressed as a functional of some (low-dimensional) Markov process. At the abstract level this class includes all current models of practical importance. By specifying these models in Markov-functional form, we obtain a specification which is efficient to implement. An additional advantage of Markov-functional models is the fact that the specification of the model can be such that the forward rate distribution implied by market option prices can be fitted exactly, which makes these models particularly suited for derivatives pricing. We give examples of Markov-functional models that are fitted to market prices of caps/floors and swaptions.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by Springer in its journal Finance and Stochastics.
Volume (Year): 4 (2000)
Issue (Month): 4 ()
Note: received: June 1999; final version received: August 1999
Contact details of provider:
Web page: http://www.springerlink.com/content/101164/
Find related papers by JEL classification:
- G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
- E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
You can help add them by filling out this form.
CitEc Project, subscribe to its RSS feed for this item.
- Nicola Moreni & Andrea Pallavicini, 2010. "Parsimonious HJM Modelling for Multiple Yield-Curve Dynamics," Papers 1011.0828, arXiv.org.
- Jiro Akahori & Yuji Hishida & Josef Teichmann & Takahiro Tsuchiya, 2009. "A Heat Kernel Approach to Interest Rate Models," Papers 0910.5033, arXiv.org.
- Antonis Papapantoleon, 2009. "Old and new approaches to LIBOR modeling," Papers 0910.4941, arXiv.org, revised Apr 2010.
- Lord, Roger & Fang, Fang & Bervoets, Frank & Oosterlee, Kees, 2007. "A fast and accurate FFT-based method for pricing early-exercise options under Lévy processes," MPRA Paper 1952, University Library of Munich, Germany.
- Mamon, Rogemar S., 2002. "A time-varying Markov chain model of term structure," Statistics & Probability Letters, Elsevier, vol. 60(3), pages 309-312, December.
- Jirô Akahori & Andrea Macrina, 2012.
"Heat Kernel Interest Rate Models With Time-Inhomogeneous Markov Processes,"
International Journal of Theoretical and Applied Finance (IJTAF),
World Scientific Publishing Co. Pte. Ltd., vol. 15(01), pages 1250007-1-1.
- Jiro Akahori & Andrea Macrina, 2010. "Heat Kernel Interest Rate Models with Time-Inhomogeneous Markov Processes," Papers 1012.1878, arXiv.org.
- Yuta Inoue & Takahiro Tsuchiya, 2011. "Defaultable Bonds via HKA," Papers 1103.4541, arXiv.org.
- Pietersz, R. & Pelsser, A.A.J., 2005.
"A Comparison of Single Factor Markov-Functional and Multi Factor Market Models,"
ERIM Report Series Research in Management
ERS-2005-008-F&A, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus Uni.
- Raoul Pietersz & Antoon Pelsser, 2010. "A comparison of single factor Markov-functional and multi factor market models," Review of Derivatives Research, Springer, vol. 13(3), pages 245-272, October.
- Raoul Pietersz & Antoon Pelsser, 2005. "A Comparison of Single Factor Markov-functional and Multi Factor Market Models," Finance 0502008, EconWPA.
- Raoul Pietersz & Antoon Pelsser & Marcel van Regenmortel, 2005. "Fast drift approximated pricing in the BGM model," Finance 0502005, EconWPA.
- Albanese, Claudio, 2007. "Callable Swaps, Snowballs And Videogames," MPRA Paper 5229, University Library of Munich, Germany, revised 01 Oct 2007.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Guenther Eichhorn) or (Christopher F Baum).
If references are entirely missing, you can add them using this form.