Operator splitting schemes for the two-asset Merton jump-diffusion model

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:387

Article; Proceedings Paper

Boen, Lynn¹  't Hout, Karel J. in¹ 

[1] Univ Antwerp, Dept Math & Comp Sci, Middelheimlaan 1, B-2020 Antwerp, Belgium

关键词: Partial integro-differential equations;    Operator splitting schemes;    Two-asset Merton jump-diffusion model;   

DOI  :  10.1016/j.cam.2019.06.025

来源: Elsevier

【 摘 要 】

This paper deals with the numerical solution of the two-dimensional time-dependent Merton partial integro-differential equation (PIDE) for the values of rainbow options under the two-asset Merton jump-diffusion model. Key features of this well-known equation are a two-dimensional nonlocal integral part and a mixed spatial derivative term. For its efficient and stable numerical solution, we study seven recent and novel operator splitting schemes of the implicit-explicit (IMEX) and the alternating direction implicit (ADI) kind. Here the integral part is always conveniently treated in an explicit fashion. The convergence behaviour and the relative performance of the seven schemes are investigated in ample numerical experiments for both European put-on-the-min and put-on-the-average options. (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

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