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A new method for jump detection: Analysis of jumps in S&P 500 financial index

Khashanah, Khaldoun, Chen, Jing ORCID: https://orcid.org/0000-0001-7135-2116, Buckle, Mike and Hawkes, Alan 2025. A new method for jump detection: Analysis of jumps in S&P 500 financial index. Journal of the Royal Statistical Society: Series C , qlaf025. 10.1093/jrsssc/qlaf025

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Abstract

Financial jumps have occurred more frequently with the advent of high-frequency trading enabled by technological advancement. Most existing jump detection methods that treat a jump as a singular, random, and isolated shock event were not designed to capture the clustering of jumps related to contagious behaviour, in which the occurrence of jumps increases the probability of further jumps soon after. This paper presents a new method that addresses the challenges of capturing both singular and consecutive jumps. This approach evaluates the size of individual returns with a measure of local volatility based on the median of consecutive absolute returns. We use this method to detect jumps in both S&P 500 and simulated time series, and compare its performance with several classic jump detection methods. Throughout, our consistently outperforms other approaches applied to both real and simulated financial return series. In addition, we demonstrate that the detection results are not biased or compromised by the intraday volatility pattern.

Item Type: Article
Date Type: Published Online
Status: In Press
Schools: Schools > Mathematics
Publisher: Royal Statistical Society
ISSN: 0035-9254
Date of First Compliant Deposit: 19 March 2025
Date of Acceptance: 17 March 2025
Last Modified: 08 May 2025 13:52
URI: https://orca.cardiff.ac.uk/id/eprint/177005

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