An ETD method for multi-asset American option pricing under jump-diffusion model

In this paper, we propose a numerical method for American multi-asset options under jump-diffusion model based on the combination of the exponential time differencing (ETD) technique for the differential operator and Gauss-Hermite quadrature for the integral term. In order to simplify the computatio...

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Detalhes bibliográficos
Autores: Company Rossi, Rafael, Egorova, Vera|||0000-0002-3024-3033, Jódar Sánchez, Lucas
Tipo de documento: artigo
Data de publicação:2023
País:España
Recursos:Universidad de Cantabria (UC)
Repositório:UCrea Repositorio Abierto de la Universidad de Cantabria
Idioma:inglês
OAI Identifier:oai:repositorio.unican.es:10902/28969
Acesso em linha:https://hdl.handle.net/10902/28969
Access Level:Acceso aberto
Palavra-chave:Exponential time differencing
Jump-diffusion model
Multi-asset option pricing
Multivariate Gauss-Hermite quadrature
Partial-integro differential equation
Descrição
Resumo:In this paper, we propose a numerical method for American multi-asset options under jump-diffusion model based on the combination of the exponential time differencing (ETD) technique for the differential operator and Gauss-Hermite quadrature for the integral term. In order to simplify the computational stencil and improve characteristics of the ETD-scheme mixed derivative eliminating transformation is applied. The results are compared with recently proposed methods.