Arbeitspapier

Discount curve estimation by monotonizing McCulloch Splines

In this paper a new and very simple method for monotone estimation of discount curves is proposed. The main idea of this approach is a simple modification of the commonly used (unconstrained) Mc-Culloch Spline. We construct an integrated density estimate from the predicted values of the discount curve. It can be shown that this statistic is an estimate of the inverse of the discount function and the final estimate can easily be obtained by a numerical inversion. The resulting procedure is extremely simple and we have implemented it in Excel and VBA, respectively. The performance is illustrated by three examples, in which the curve was previously estimated with an unconstrained McCulloch Spline.

Language
Englisch

Bibliographic citation
Series: Technical Report ; No. 2006,27

Event
Geistige Schöpfung
(who)
Dette, Holger
Ziggel, Daniel
Event
Veröffentlichung
(who)
Universität Dortmund, Sonderforschungsbereich 475 - Komplexitätsreduktion in Multivariaten Datenstrukturen
(where)
Dortmund
(when)
2006

Handle
Last update
10.03.2025, 11:44 AM CET

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Object type

  • Arbeitspapier

Associated

  • Dette, Holger
  • Ziggel, Daniel
  • Universität Dortmund, Sonderforschungsbereich 475 - Komplexitätsreduktion in Multivariaten Datenstrukturen

Time of origin

  • 2006

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