Rate options#

Options on bonds, caps, floors and swaptions: Jamshidian’s closed form and decomposition in Gaussian short-rate models, and Black’s formula in the LIBOR and swap market models.

Jamshidian: an exact bond option formula

Jamshidian: an exact bond option formula

Jamshidian’s decomposition: swaptions in one-factor models

Jamshidian's decomposition: swaptions in one-factor models

Brace-Gatarek-Musiela: caps and floors by Black’s formula

Brace-Gatarek-Musiela: caps and floors by Black's formula

Jamshidian’s swap market model: Black swaptions

Jamshidian's swap market model: Black swaptions