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Swaptions: 1 price, 10 deltas, and ... 6 1/2 gammas


Author Info

  • Marc Henrard

    (Bank for International Settlements)


In practice the option pricing models are calibrated to market prices of liquid instruments. Consequently for those instruments, all the models give the same price. But the computed risk can be widely different. The note proposes comparison on simple instruments (swaptions) on a simple risk measure (first and second order sensitivity to the underlying yield curve). The main paper conclusion is that the hedging widely (up to 10\% of the underlying risk) between the model, specially with their dynamic. The shape of the smile has also an impact but to a lesser extend.

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Bibliographic Info

Paper provided by EconWPA in its series Finance with number 0407018.

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Length: 13 pages
Date of creation: 22 Jul 2004
Date of revision: 14 Aug 2004
Handle: RePEc:wpa:wuwpfi:0407018

Note: Type of Document - pdf; pages: 13. 13 pages, pdf Draft document, comments welcome
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Related research

Keywords: Swaption; delta; hedging; in-the-model; out-of-the-model sensitivity; models difference;

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Cited by:
  1. Henrard, Marc, 2006. "Bonds futures and their options: more than the cheapest-to-deliver; quality option and marginning," MPRA Paper 2001, University Library of Munich, Germany.
  2. Marc Henrard, 2005. "Libor Market Model and Gaussian HJM explicit approaches to option on composition," Finance 0511016, EconWPA, revised 07 Dec 2005.
  3. Wolfgang Kluge & Antonis Papapantoleon, 2009. "On the valuation of compositions in L\'evy term structure models," Papers 0902.3456,


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