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Identifying the underlying components of high-frequency data: Pure vs jump diffusion processes

Rodrigo Hizmeri, Marwan Izzeldin and Giovanni Urga

Journal of Empirical Finance, 2025, vol. 81, issue C

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 in finite jumps. This suggests a dynamic interplay between jump components over time.

Keywords: High-frequency data; Infinite jumps; Finite jumps; Brownian motion; Price staleness; Microstructure noise (search for similar items in EconPapers)
JEL-codes: C14 C15 C58 G01 (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:empfin:v:81:y:2025:i:c:s0927539825000167

DOI: 10.1016/j.jempfin.2025.101594

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Journal of Empirical Finance is currently edited by R. T. Baillie, F. C. Palm, Th. J. Vermaelen and C. C. P. Wolff

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