A deterministic-shift extension of analytically-tractable and time-homogeneous short-rate models
In the present paper we show how to extend any time-homogeneous short-rate model to a model that can reproduce any observed yield curve, through a procedure that preserves the possible analytical tractability of the original model. In the case of the Vasicek (1977) model, our extension is equivalent to that of Hull and White (1990), whereas in the case of the Cox-Ingersoll-Ross (1985) (CIR) model, our extension is more analytically tractable and avoids problems concerning the use of numerical solutions. We also consider the extension of time-homogeneous models without analytical formulas. We then explain why the CIR model is the most interesting model to be extended through our procedure, analyzing it in detail. We also consider an example of calibration to the cap market for two of the presented models. We finally hint at the same extension for multifactor models and explain its advantages for applications.
If 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.
Volume (Year): 5 (2001)
Issue (Month): 3 ()
|Note:||received: October 1998; final version received: August 2000|
|Contact details of provider:|| Web page: http://www.springer.com|
|Order Information:||Web: http://www.springer.com/mathematics/quantitative+finance/journal/780/PS2|
When requesting a correction, please mention this item's handle: RePEc:spr:finsto:v:5:y:2001:i:3:p:369-387. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Sonal Shukla)or (Rebekah McClure)
If references are entirely missing, you can add them using this form.