Projecting the Forward Rate Flow on a Finite Dimensional Manifold

Erhan Bayraktar, Li Chen and H. Vincent Poor
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Erhan Bayraktar: Princeton University
H. Vincent Poor: Princeton University

Finance from EconWPA

Abstract: Given an Heath-Jarrow-Morton (HJM) interest rate model and a parametrized family of finite dimensional forward rate curves, this paper provides us a way to project this infinite dimensional HJM forward rate curve to the finite dimensional manifold. This projection characterizes banks' behavior of calibrating forward curves by applying a certain family of curves (e.g., Nelson-Seigel family). Moreover, we derive the Stratonovich dynamics of the projected finite dimensional forward curve. This leads an implicit algorithm for parametric estimation of the original HJM model. We have demonstrated the feasibility of this method by applying generalized method of moments and methods of simulated moments.

Keywords: HJM Model; Finite-dimensional Manifolds; Nelson_Siegel Family (search for similar items in EconPapers)
JEL-codes: C39 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-ecm, nep-fmk and nep-rmg
Date: 2003-03-29
Note: Type of Document - Tex; prepared on IBM PC - PC-TEX/UNIX Sparc TeX; to print on HP/PostScript/Franciscan monk; pages: 8 ; figures: none. We never published this piece and now we would like to reduce our mailing and xerox cost by posting it.

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Persistent link: http://EconPapers.repec.org/RePEc:wpa:wuwpfi:0303007

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