A Preference Free Partial Differential Equation for the Term Stucture of Interest Rates
AbstractThe objectives of this paper are twofold: the first is the reconciliation of the differences between the Vasicek and the Heath-Jarrow-Morton approaches to the modelling of term structure of interest rates. We demonstrate that under certain (not empirically unreasonable) assumptions prices of interest-rate sensitive claims within the Heath-Jarrow-Morton framework can be expressed as a partial differential equation which both is preference-free and matches the currently observed yield curve. This partial differential equation is shown to be equivalent to the extended Vasicek model of Hull and White. The second is the pricing of interest rate claims in this framework. The preference free partial differential equation that we obtain has the added advantage that it allows us to bring to bear on the problem of evaluating American style contingent claims in a stochastic interest rate environment the various numerical techniques for solving free boundary value problems which have been developed in recent years such as the method of lines.
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.
Bibliographic InfoPaper provided by Finance Discipline Group, UTS Business School, University of Technology, Sydney in its series Working Paper Series with number 63.
Date of creation: 01 May 1996
Date of revision:
Publication status: Published as: Chiarella, C. and El-Hassan, N., 1996, "A Preference Free Partial Differential Equation for the Term Structure of Interest Rates", Financial Engineering and the Japanese Markets, 3(3), 217-238.
Contact details of provider:
Postal: PO Box 123, Broadway, NSW 2007, Australia
Phone: +61 2 9514 7777
Fax: +61 2 9514 7711
Web page: http://www.uts.edu.au/about/uts-business-school/finance
More information through EDIRC
You can help add them by filling out this form.
CitEc Project, subscribe to its RSS feed for this item.
- Carl Chiarella & Nadima El-Hassan, 1999. "Pricing American Interest Rate Options in a Heath-Jarrow-Morton Framework Using Method of Lines," Research Paper Series 12, Quantitative Finance Research Centre, University of Technology, Sydney.
- Christina Nikitopoulos-Sklibosios, 2005. "A Class of Markovian Models for the Term Structure of Interest Rates Under Jump-Diffusions," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 6.
- Ramaprasad Bhar & Carl Chiarella, 1997.
"Interest rate futures: estimation of volatility parameters in an arbitrage-free framework,"
Applied Mathematical Finance,
Taylor & Francis Journals, vol. 4(4), pages 181-199.
- Ram Bhar & Carl Chiarella, 1995. "Interest Rate Futures: Estimation of Volatility Parameters in an Arbitrage-Free Framework," Working Paper Series 55, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
- Carl Chiarella & Christina Sklibosios, 2003.
"A Class of Jump-Diffusion Bond Pricing Models within the HJM Framework,"
Asia-Pacific Financial Markets,
Springer, vol. 10(2), pages 87-127, September.
- Carl Chiarella & Christina Nikitopoulos-Sklibosios, 2004. "A Class of Jump-Diffusion Bond Pricing Models within the HJM Framework," Research Paper Series 132, Quantitative Finance Research Centre, University of Technology, Sydney.
- Ramaprasad Bhar, 2010. "Stochastic Filtering With Applications In Finance:," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 7736.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Duncan Ford).
If references are entirely missing, you can add them using this form.