Domain truncation error analysis for a multidimensional system of PDEs of option prices
Anindya Goswami and
Kuldip Singh Patel
Mathematics and Computers in Simulation (MATCOM), 2025, vol. 236, issue C, 354-378
Abstract:
This paper examines a multidimensional system of parabolic partial differential equations arising in European option pricing within a Markov-switching market model. To solve this numerically, the domain must be truncated, and artificial boundary conditions should be imposed. By deriving an estimate for the domain truncation error at all points in the truncated domain, we generalize existing results that address option pricing equations solely under no-switching scenarios. Unlike previous approaches, our method provides a sharper error estimate in specific regions of the domain. Combining the proposed estimate with the existing one yields a strictly improved result. Numerical examples are presented to provide a thorough comparison with the existing literature.
Keywords: Markov-switching market model; Existence and uniqueness of solution; Theory of system of PDEs; Domain truncation error estimates (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:
Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475425001211
Full text for ScienceDirect subscribers only
Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
HTML/Text
Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:236:y:2025:i:c:p:354-378
DOI: 10.1016/j.matcom.2025.04.002
Access Statistics for this article
Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens
More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().