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Volatility Estimation and Jump Detection for drift-diffusion Processes

Abstract : Logarithms of prices of financial assets are conventionally assumed to follow drift-diffusion processes. While the drift term is typically ignored in the infill asymptotic theory and applications, the presence of nonzero drifts is an undeniable fact. The finite sample theory and extensive simulations provided in this paper reveal that the drift component has a nonnegligible impact on the estimation accuracy of volatility and leads to a dramatic power loss of a class of jump identification procedures. We propose an alternative construction of volatility estimators and jump tests and observe significant improvement of both in the presence of nonnegligible drift. As an illustration, we apply the new volatility estimators and jump tests, along with their original versions, to 21 years of 5-minute log-returns of the NASDAQ stock price index.
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https://halshs.archives-ouvertes.fr/halshs-01944449
Contributor : Charles Lai Tong Connect in order to contact the contributor
Submitted on : Tuesday, December 4, 2018 - 4:16:24 PM
Last modification on : Tuesday, October 19, 2021 - 5:17:33 PM

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WP 2018 - Nr 43.pdf
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  • HAL Id : halshs-01944449, version 1

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Sébastien Laurent, Shuping Shi. Volatility Estimation and Jump Detection for drift-diffusion Processes. 2018. ⟨halshs-01944449⟩

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