Numerical approximation of a hybrid Poisson-jump Ait-Sahalia-type interest rate model with delay



Coffie, Emmanuel
(2024) Numerical approximation of a hybrid Poisson-jump Ait-Sahalia-type interest rate model with delay. Stochastic Models, ahead- (ahead-). pp. 1-0.

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Abstract

Abstract.: While the original Ait-Sahalia interest rate model has been found to be of considerable use for describing the time-series evolution of interest rates, it may not possess adequate specifications to explain the responses of interest rates to empirical phenomena such as volatility skew-smile effect, jumps, market regulatory lapses, economic crises, financial clashes, and political instability, among others collectively. In this article, we propose a modified version of this model by incorporating additional features to help collectively describe these empirical phenomena adequately. Since the proposed model does not have a closed-form formula, we construct new techniques of the truncated EM method to study it and justify the method within a Monte Carlo framework to compute some financial quantities.

Item Type: Article
Divisions: Faculty of Science and Engineering > School of Physical Sciences
Depositing User: Symplectic Admin
Date Deposited: 25 Mar 2024 16:21
Last Modified: 25 Mar 2024 16:41
DOI: 10.1080/15326349.2024.2305344
Open Access URL: https://doi.org/10.1080/15326349.2024.2305344
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URI: https://livrepository.liverpool.ac.uk/id/eprint/3179899