RecordNumber
2262
Author
YANG, HONGTAO
Title of Article
CALIBRATION OF THE EXTENDED CIR MODEL
Title Of Journal
Society for Industrial and Applied Mathematics
Publication Year
2006
Volum
66
Issue Number
2
Page
721-735
Keywords
extended CIR model , calibration , inverse problem , solution uniqueness and existence , numerical solutions
Abstract
In this paper we shall prove that the calibration problem for the extended CIR model in [J. Hull and A. White, Rev. Financial Studies, 3 (1990), pp. 573–592] has a unique solution. The constructive proof leads to a numerical algorithm for computing the approximations of the time- dependent parameters and the zero-coupon bond prices. The results are also extended to multifactor CIR (Cox–Ingersoll–Ross) models. Numerical results are presented to examine the accuracy of our algorithm and to compare the extended CIR model with the Vasicek models.
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