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A semi-analytical approach to Canary swaptions in HJM one-factor model

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  • Henrard Marc

    (Bank for International Settlements)

Abstract

Leveraging the explicit formula for European swaptions and coupon-bond options in HJM one-factor model, we develop a semi-explicit formula for 2-Bermudan options (also called Canary options). We first extend the European swaption formula to future times. We are able to reduce the valuation of a 2-Bermudan swaption to a single numerical integration at the first expiry date. In that integration the most complex part of the valuation of the embedded European swaptions has been simplified in such a way that it has to be performed only once and not for every point.

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File URL: http://128.118.178.162/eps/fin/papers/0310/0310008.pdf
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Bibliographic Info

Paper provided by EconWPA in its series Finance with number 0310008.

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Date of creation: 08 Oct 2003
Date of revision: 25 Nov 2004
Handle: RePEc:wpa:wuwpfi:0310008

Note: Type of Document - LaTeX; prepared on Linux; to print on HP;
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Web page: http://128.118.178.162

Related research

Keywords: Bermudan option; swaption; bond option; HJM model; one-factor model; explicit formula; numerical integration.;

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Cited by:
  1. Marc Henrard, 2005. "Inflation bond option pricing in Jarrow-Yildirim model," Finance, EconWPA 0510027, EconWPA.

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