English, Article, Journal or magazine article edition: A Tractable Term Structure Model with Endogenous Interpolation and Positive Interest Rates Schloegl, Erik; Lutz Schloegl

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Physical Description
  • preprint
Language
  • English

Edition details

Title
  • A Tractable Term Structure Model with Endogenous Interpolation and Positive Interest Rates
Author
  • Schloegl, Erik
  • Lutz Schloegl
Physical Description
  • preprint
Notes
  • This paper presents the one- and the multifactor versions of a term structure model in which the factor dynamics are given by Cox/​Ingersoll/​Ross (CIR) type "square root" diffusions with piecewise constant parameters. The model is fitted to initial term structures given by a finite number of data points, interpolating endogenously. Closed form and near-closed form solutions for a large class of fixed income contingent claims are derived in terms of a noncentral chi-square distribution whose noncentrality parameter is in turn noncentral chi-square distributed. Implementation details on this distribution are given in the appendix.
  • term structure of interest rates, fixed income derivatives, square root process, chi-square distribution
  • RePEc:bon:bonsfb:396
Language
  • English
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