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Multi-kernel property in high-frequency price dynamics under Hawkes model

Lee Kyungsub ()
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Lee Kyungsub: Department of Statistics, Yeungnam University, Gyeongsan, Republic of Korea

Studies in Nonlinear Dynamics & Econometrics, 2024, vol. 28, issue 4, 605-624

Abstract: This study investigates and uses multi-kernel Hawkes models to describe a high-frequency mid-price process. Each kernel represents a different responsive speed of market participants. Using the conditional Hessian, we examine whether the numerical optimizer effectively finds the global maximum of the log-likelihood function under complicated modeling. Empirical studies that use stock prices in the US equity market show the existence of multi-kernels classified as ultra-high-frequency (UHF), very-high-frequency (VHF), and high-frequency (HF). We estimate the conditional expectations of arrival times and the degree of contribution to the high-frequency activities for each kernel.

Keywords: Hawkes model; high-frequency data; multi-kernel; responsiveness; stock price dynamics (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1515/snde-2022-0049

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