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Identifying the Underlying Components of High-Frequency Data: Pure vs Jump Diffusion Processes

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Identifying the Underlying Components of High-Frequency Data: Pure vs Jump Diffusion Processes. / Hizmeri, Rodrigo; Izzeldin, Marwan; Urga, Giovanni .
In: Journal of Empirical Finance, Vol. 81, No. 3, 101594, 31.03.2025.

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Hizmeri R, Izzeldin M, Urga G. Identifying the Underlying Components of High-Frequency Data: Pure vs Jump Diffusion Processes. Journal of Empirical Finance. 2025 Mar 31;81(3):101594. Epub 2025 Feb 7. doi: 10.1016/j.jempfin.2025.101594

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Hizmeri, Rodrigo ; Izzeldin, Marwan ; Urga, Giovanni . / Identifying the Underlying Components of High-Frequency Data : Pure vs Jump Diffusion Processes. In: Journal of Empirical Finance. 2025 ; Vol. 81, No. 3.

Bibtex

@article{0fd1440f898c46de815f9039ad8324f5,
title = "Identifying the Underlying Components of High-Frequency Data: Pure vs Jump Diffusion Processes",
abstract = "In this paper, we examine the finite sample properties of test statistics designed to identify distinct underlying components of high-frequency financial data, specifically the Brownian component and infinite vs. finite activity jumps. We conduct a comprehensive set of Monte Carlo simulations to evaluate the tests under various types of microstructure noise, price staleness, and different levels of jump activity. We apply these tests to a dataset comprising 100 individual S&P 500 constituents from diverse business sectors and the SPY (S&P 500 ETF) to empirically assess the relative magnitude of these components. Our findings strongly support the presence of both Brownian and jump components. Furthermore, we investigate the time-varying nature of rejection rates and we find that periods with more jumps days are usually associated with an increase in infinite jumps and a decrease infinite jumps. This suggests a dynamic interplay between jump components over time.",
author = "Rodrigo Hizmeri and Marwan Izzeldin and Giovanni Urga",
year = "2025",
month = mar,
day = "31",
doi = "10.1016/j.jempfin.2025.101594",
language = "English",
volume = "81",
journal = "Journal of Empirical Finance",
issn = "0927-5398",
publisher = "Elsevier",
number = "3",

}

RIS

TY - JOUR

T1 - Identifying the Underlying Components of High-Frequency Data

T2 - Pure vs Jump Diffusion Processes

AU - Hizmeri, Rodrigo

AU - Izzeldin, Marwan

AU - Urga, Giovanni

PY - 2025/3/31

Y1 - 2025/3/31

N2 - In this paper, we examine the finite sample properties of test statistics designed to identify distinct underlying components of high-frequency financial data, specifically the Brownian component and infinite vs. finite activity jumps. We conduct a comprehensive set of Monte Carlo simulations to evaluate the tests under various types of microstructure noise, price staleness, and different levels of jump activity. We apply these tests to a dataset comprising 100 individual S&P 500 constituents from diverse business sectors and the SPY (S&P 500 ETF) to empirically assess the relative magnitude of these components. Our findings strongly support the presence of both Brownian and jump components. Furthermore, we investigate the time-varying nature of rejection rates and we find that periods with more jumps days are usually associated with an increase in infinite jumps and a decrease infinite jumps. This suggests a dynamic interplay between jump components over time.

AB - In this paper, we examine the finite sample properties of test statistics designed to identify distinct underlying components of high-frequency financial data, specifically the Brownian component and infinite vs. finite activity jumps. We conduct a comprehensive set of Monte Carlo simulations to evaluate the tests under various types of microstructure noise, price staleness, and different levels of jump activity. We apply these tests to a dataset comprising 100 individual S&P 500 constituents from diverse business sectors and the SPY (S&P 500 ETF) to empirically assess the relative magnitude of these components. Our findings strongly support the presence of both Brownian and jump components. Furthermore, we investigate the time-varying nature of rejection rates and we find that periods with more jumps days are usually associated with an increase in infinite jumps and a decrease infinite jumps. This suggests a dynamic interplay between jump components over time.

U2 - 10.1016/j.jempfin.2025.101594

DO - 10.1016/j.jempfin.2025.101594

M3 - Journal article

VL - 81

JO - Journal of Empirical Finance

JF - Journal of Empirical Finance

SN - 0927-5398

IS - 3

M1 - 101594

ER -