Casabán Bartual, MC.; Company Rossi, R.; Jódar Sánchez, LA.; Romero Bauset, JV. (2012). Double Discretization Difference Schemes for Partial Integrodifferential Option Pricing Jump Diffusion Models. Abstract and Applied Analysis. 2012:1-20. https://doi.org/10.1155/2012/120358
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/19070
Title:
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Double Discretization Difference Schemes for Partial Integrodifferential Option Pricing Jump Diffusion Models
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Author:
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Casabán Bartual, Mª Consuelo
Company Rossi, Rafael
Jódar Sánchez, Lucas Antonio
Romero Bauset, José Vicente
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UPV Unit:
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Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
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Issued date:
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Abstract:
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A new discretization strategy is introduced for the numerical solution of partial integrodifferential equations appearing in option pricing jump diffusion models. In order to consider the unknown behaviour of the solution ...[+]
A new discretization strategy is introduced for the numerical solution of partial integrodifferential equations appearing in option pricing jump diffusion models. In order to consider the unknown behaviour of the solution in the unbounded part of the spatial domain, a double discretization is proposed. Stability, consistency, and positivity of the resulting explicit scheme are analyzed. Advantages of the method are illustrated with several examples.
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Subjects:
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Levy driven assets
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American options
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Numerical valuation
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Convergence
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Equations
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Finance
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Copyrigths:
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Reconocimiento (by)
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Source:
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Abstract and Applied Analysis. (issn:
1085-3375
)
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DOI:
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10.1155/2012/120358
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Publisher:
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Hindawi Publishing Corporation
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Publisher version:
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http://dx.doi.org/10.1155/2012/120358
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Project ID:
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info:eu-repo/grantAgreement/MICINN//DPI2010-20891-C02-01/ES/MODELIZACION Y METODOS NUMERICOS, ALEATORIOS Y DETERMINISTAS, PARA EL FILTRADO DE PARTICULAS DIESEL EN MOTORES DE COMBUSTION INTERNA SOBREALIMENTADOS/
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Thanks:
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This paper was supported by the Spanish M.E.Y.C. Grant DPI2010-20891-C02-01.
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Type:
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Artículo
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