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Characteristic function pricing with the Heston-LIBOR hybrid model

We derive an approximate characteristic function for a simplified version of the Heston-LIBOR model, which assumes a constant instantaneous volatility structure in the underlying LIBOR market model. We also implement measures to improve the numerical stability of the characteristic function derived...

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Bibliographic Details
Main Author: Sterley, Christopher
Other Authors: Ouwehand, Peter
Format: Thesis
Language:English
Published: African Institute of Financial Markets and Risk Management 2020
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Summary:We derive an approximate characteristic function for a simplified version of the Heston-LIBOR model, which assumes a constant instantaneous volatility structure in the underlying LIBOR market model. We also implement measures to improve the numerical stability of the characteristic function derived in this dissertation as well as the one derived by Grzelak and Oosterlee. The ultimate aim of the dissertation is to prevent these characteristic functions from exploding for given parameter values.