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Quantitative Finance · Glossaire

Qu'est-ce que « Jamshidian decomposition » ?

Definition 7.8 Rates, Credit, XVA and Risk · Chapitre 7 — Short-Rate Models

The Jamshidian decomposition (1989) writes an option on a coupon bond, in a one-factor model where every bond price at expiry is a decreasing function of the single state xTx_T, as a portfolio of options on its zero-coupon bonds: with x⋆x^\star the state at which the coupon bond is worth the strike, each zero-coupon option is struck at that bond’s price at x⋆x^\star.

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