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Journal Articles The Journal of Computational Finance Year : 2017

Smile with the Gaussian term structure model


We propose an affine extension of the Linear Gaussian term structure Model (LGM) such that the instantaneous covariation of the factors is given by an affine process on semidefinite positive matrices. First, we set up the model and present some important properties concerning the Laplace transform of the factors and the ergodicity of the model. Then, we present two main numerical tools to implement the model in practice. First, we obtain an expansion of caplets and swaptions prices around the LGM. Such a fast and accurate approximation is useful for assessing the model behavior on the implied volatility smile. Second, we provide a second order scheme for the weak error, which enables to calculate exotic options by a Monte-Carlo algorithm.

Dates and versions

hal-01098554 , version 1 (26-12-2014)



Abdelkoddousse Ahdida, Aurélien Alfonsi, Ernesto Palidda. Smile with the Gaussian term structure model. The Journal of Computational Finance, 2017, 21 (1), ⟨10.21314/JCF.2016.328⟩. ⟨hal-01098554⟩
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