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Cms, Cms Spreads And Similar Options In The Multi-Factor Hjm Framework


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    (BNP Paribas Fortis, Model Validation, Belgium)


    (OpenGamma, Quantitative Research, United Kingdom)


Constant maturity swaps (CMS) and CMS spread options are analysed in the multi-factor HJM framework. For Gaussian models, which include a version of the Libor Market Models and the G2++ model, explicit approximated pricing formulae are provided. Two approximating approaches are proposed: an exact solution to an approximated equation and an approximated solution to the exact equation. The first approach borrows from previous literature on other models; the second approach is new. For the latter, the price approximation errors are smaller than in the previous literature and negligible in practice. These approaches are being used here to price standard CMS and CMS spreads and can be used for other European exotic products.

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Bibliographic Info

Article provided by World Scientific Publishing Co. Pte. Ltd. in its journal International Journal of Theoretical and Applied Finance.

Volume (Year): 15 (2012)
Issue (Month): 07 ()
Pages: 1250048-1-1250048-18

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Handle: RePEc:wsi:ijtafx:v:15:y:2012:i:07:p:1250048-1-1250048-18

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Keywords: CMS; CMS spread; Heath-Jarrow-Morton; multi-factor model; Gaussian models; G2++; Libor market model; analytical formula; efficient approximation;

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