Separable Term Structures and the Maximal Degree Problem

This paper discusses separable term structure diffusion models in an arbitrage-free environment. Using general consistency results we exploit the interplay between the diffusion coefficients and the functions determining the forward curve. We introduce the particular class of polynomial term structure models. We formulate the appropriate conditions under which the diffusion for a quadratic term structure model is necessarily an Ornstein-Uhlenbeck type process. Finally, we explore the maximal degree problem and show that basically any consistent polynomial term structure model is of degree two or less.


Published in:
Mathematical Finance, 12(4), 341-349
Year:
2002
Publisher:
Wiley-Blackwell
ISSN:
0960-1627
Laboratories:




 Record created 2010-04-25, last modified 2018-12-03

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