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Applied Math Seminar The
Consistency of Term Structures Parameterized by
Legendre Polynomials |
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The concept of consistence of a pair (interest rate model, parametric family of forward curves) appears to be crucial to guarantee a robust way to price fixed income derivatives. General results of inconsistency where obtained for one of the most adopted parametric families for forward curves, namely the Nelson- Siegel family. In this talk we show how to build interest rate models consistent with the family of term structures parameterized by Legendre polynomials proposed in Almeida et al [1998] for estimation and simulation of term structures in emerging markets. This result offers an alternative to the Nelson Siegel family for estimation of term structures and also extends the applicability of the Legendre family allowing its use for derivatives pricing purposes. |