Financial applications on fractional Levy Stochastic processes
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...
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Multidisciplinary Digital Publishing Institute
2022
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my.upm.eprints.1015202023-06-17T22:46:35Z http://psasir.upm.edu.my/id/eprint/101520/ Financial applications on fractional Levy Stochastic processes Abdullah Aljethi, Reem Kılıçman, Adem 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. Multidisciplinary Digital Publishing Institute 2022-05-22 Article PeerReviewed 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 https://www.mdpi.com/2504-3110/6/5/278 10.3390/fractalfract6050278 |
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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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Abdullah Aljethi, Reem Kılıçman, Adem |
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Abdullah Aljethi, Reem Kılıçman, Adem Financial applications on fractional Levy Stochastic processes |
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Abdullah Aljethi, Reem Kılıçman, Adem |
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Abdullah Aljethi, Reem |
title |
Financial applications on fractional Levy Stochastic processes |
title_short |
Financial applications on fractional Levy Stochastic processes |
title_full |
Financial applications on fractional Levy Stochastic processes |
title_fullStr |
Financial applications on fractional Levy Stochastic processes |
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Financial applications on fractional Levy Stochastic processes |
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financial applications on fractional levy stochastic processes |
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Multidisciplinary Digital Publishing Institute |
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2022 |
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http://psasir.upm.edu.my/id/eprint/101520/ https://www.mdpi.com/2504-3110/6/5/278 |
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