Computable error bounds of multidimensional Euler inversion and their financial applications

Transform inversion is an efficient approximation procedure in operations research, yet the inversion results are sometimes unstable which calls for comprehensive error analysis. This article proposes a multidimensional Euler inversion (MEI) algorithm with computable error bounds. We design mild suf...

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Bibliographic Details
Published in:Operations research letters Vol. 50; no. 6; pp. 726 - 731
Main Authors: Zeng, Pingping, Shi, Chao
Format: Journal Article
Language:English
Published: Elsevier B.V 01.11.2022
Subjects:
Barrier option
Discretization error
Joint probability of default
Multidimensional Euler inversion
Truncation error
Barrier option
Discretization error
Joint probability of default
Truncation error
Multidimensional Euler inversion
ISSN:0167-6377, 1872-7468
Online Access:Get full text
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Summary:Transform inversion is an efficient approximation procedure in operations research, yet the inversion results are sometimes unstable which calls for comprehensive error analysis. This article proposes a multidimensional Euler inversion (MEI) algorithm with computable error bounds. We design mild sufficient conditions that validate the inversion formula, and provide closed-form upper bounds of the inversion errors. Numerical experiments are conducted to compute the joint probability of default and barrier option prices under complicated stochastic models, and output the associated error bounds.
ISSN:0167-6377
1872-7468
DOI:10.1016/j.orl.2022.10.013