Calibrating the Nelson–Siegel–Svensson model
AbstractThe Nelson–Siegel–Svensson model is widely-used for modelling the yield curve, yet many authors have reported ‘numerical difficulties’ when calibrating the model. We argue that the problem is twofold: firstly, the optimisation problem is not convex and has multiple local optima. Hence standard methods that are readily available in statistical packages are not appropriate. We implement and test an optimisation heuristic, Differential Evolution, and show that it is capable of reliably solving the model. Secondly, we also stress that in certain ranges of the parameters, the model is badly conditioned, thus estimated parameters are unstable given small perturbations of the data. We discuss to what extent these difficulties affect applications of the model.
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Bibliographic InfoPaper provided by COMISEF in its series Working Papers with number 031.
Length: 23 pages
Date of creation: 30 Mar 2010
Date of revision:
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Web page: http://www.comisef.eu
This paper has been announced in the following NEP Reports:
- NEP-ALL-2010-04-11 (All new papers)
- NEP-CBA-2010-04-11 (Central Banking)
- NEP-CMP-2010-04-11 (Computational Economics)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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- Andreas Groll & Brenda López-Cabrera & Thilo Meyer-Brandis, 2014. "A consistent two-factor model for pricing temperature derivatives," SFB 649 Discussion Papers SFB649DP2014-006, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
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