Template-Type:ReDIF-Paper 1.0 Title: A Tractable Term Structure Model with Endogenous Interpolation and Positive Interest Rates Author-Name: Schloegl, Erik Author-Name: Lutz Schloegl Classification-JEL: G13 Keywords: term structure of interest rates, fixed income derivatives, square root process, chi-square distribution Abstract: 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. Length: pages Creation-Date: 1997-11 Revision-Date: Handle: RePEc:bon:bonsfb:396 File-URL: http://www.wiwi.uni-bonn.de/bgsepapers/bonsfb/bonsfb396.pdf File-Format: application/pdf File-Size:571612 bytes