Christensen, Jens H.E.
An Arbitrage-Free Generalized Nelson-Siegel Term Structure Model /
Jens H.E. Christensen, Francis X. Diebold, Glenn D. Rudebusch.
- Cambridge, Mass. National Bureau of Economic Research 2008.
- 1 online resource: illustrations (black and white);
- NBER working paper series no. w14463 .
- Working Paper Series (National Bureau of Economic Research) no. w14463. .
November 2008.
The Svensson generalization of the popular Nelson-Siegel term structure model is widely used by practitioners and central banks. Unfortunately, like the original Nelson-Siegel specification, this generalization, in its dynamic form, does not enforce arbitrage-free consistency over time. Indeed, we show that the factor loadings of the Svensson generalization cannot be obtained in a standard finance arbitrage-free affine term structure representation. Therefore, we introduce a closely related generalized Nelson-Siegel model on which the no-arbitrage condition can be imposed. We estimate this new arbitrage-free generalized Nelson-Siegel model and demonstrate its tractability and good in-sample fit.
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