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Optimal nonparametric range-based volatility estimation

Tim Bollerslev, Jia Li and Qiyuan Li

Journal of Econometrics, 2024, vol. 238, issue 1

Abstract: We present a general framework for optimal nonparametric spot volatility estimation based on intraday range data, comprised of the first, highest, lowest, and last price over a given time-interval. We rely on a decision-theoretic approach together with a coupling-type argument to directly tailor the form of the nonparametric estimator to the specific volatility measure of interest and relevant loss function. The resulting new optimal estimators offer substantial efficiency gains compared to existing commonly used range-based procedures.

Keywords: Spot volatility; Nonparametric estimation; Range-based estimation; High-frequency data; Decision theory (search for similar items in EconPapers)
JEL-codes: C14 C22 (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:econom:v:238:y:2024:i:1:s0304407623002646

DOI: 10.1016/j.jeconom.2023.105548

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Journal of Econometrics is currently edited by T. Amemiya, A. R. Gallant, J. F. Geweke, C. Hsiao and P. M. Robinson

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