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Financial applications on fractional Levy Stochastic processes


Citation

Abdullah Aljethi, Reem and Kılıçman, Adem (2022) Financial applications on fractional Levy Stochastic processes. Fractal and Fractional, 6 (5). art. no. 278. pp. 1-12. ISSN 2504-3110

Abstract

In this present work, we perform a numerical analysis of the value of the European style options as well as a sensitivity analysis for the option price with respect to some parameters of the model when the underlying price process is driven by a fractional Lévy process. The option price is given by a deterministic representation by means of a real valued function satisfying some fractional PDE. The numerical scheme of the fractional PDE is obtained by means of a weighted and shifted Grunwald approximation.


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Official URL or Download Paper: https://www.mdpi.com/2504-3110/6/5/278

Additional Metadata

Item Type: Article
Divisions: Institute for Mathematical Research
DOI Number: https://doi.org/10.3390/fractalfract6050278
Publisher: Multidisciplinary Digital Publishing Institute
Keywords: European option pricing; Lévy process; Fractional diffusion equations; Sensitivity analysis
Depositing User: Ms. Che Wa Zakaria
Date Deposited: 17 Jun 2023 22:46
Last Modified: 17 Jun 2023 22:46
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.3390/fractalfract6050278
URI: http://psasir.upm.edu.my/id/eprint/101520
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