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Estimating spot volatility under infinite variation jumps with dependent market microstructure noise
Liu, Qiang1; Liu, Zhi2
2024-05-01
Source PublicationEconometrics Journal
ABS Journal Level3
ISSN1368-4221
Volume27Issue:2Pages:278-298
Abstract

Jumps and market microstructure noise are stylized features of high-frequency financial data. It is well known that they introduce bias in the estimation of volatility (including integrated and spot volatilities) of assets, and many methods have been proposed to deal with this problem. When the jumps are intensive with infinite variation, the efficient estimation of spot volatility under serially dependent noise is not available and is thus in need. For this purpose, we propose a novel estimator of spot volatility with a hybrid use of the pre-averaging technique and the empirical characteristic function. Under mild assumptions, the results of consistency and asymptotic normality of our estimator are established. Furthermore, we show that our estimator achieves an almost efficient convergence rate with optimal variance when the jumps are either less active or active with symmetric structure. Simulation studies verify our theoretical conclusions. We apply our proposed estimator to empirical analyses, such as estimating the weekly volatility curve using second-by-second transaction price data.

KeywordDependent Market Microstructure Noise Empirical Characteristic Function High-frequency Data Jump Activity Jumps Kernel Smoothing Pre-averaging Spot Volatility
DOI10.1093/ectj/utae001
URLView the original
Indexed BySCIE ; SSCI
Language英語English
WOS Research AreaBusiness & Economics ; Mathematics ; Mathematical Methods In Social Sciences
WOS SubjectEconomics ; Mathematics, Interdisciplinary Applications ; Social Sciences, Mathematical Methods ; Statistics & Probability
WOS IDWOS:001157166800001
PublisherOXFORD UNIV PRESSGREAT CLARENDON ST, OXFORD OX2 6DP, ENGLAND
Scopus ID2-s2.0-85196889572
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Document TypeJournal article
CollectionUniversity of Macau
Corresponding AuthorLiu, Qiang
Affiliation1.School of Statistics and Management, Shanghai University of Finance and Economics, Shanghai, No.777 Guoding Road, Yangpu District, 200433, China
2.Department of Mathematics, University of Macau, Taipa, Avenida da Universidade, 999078, Macao
Recommended Citation
GB/T 7714
Liu, Qiang,Liu, Zhi. Estimating spot volatility under infinite variation jumps with dependent market microstructure noise[J]. Econometrics Journal, 2024, 27(2), 278-298.
APA Liu, Qiang., & Liu, Zhi (2024). Estimating spot volatility under infinite variation jumps with dependent market microstructure noise. Econometrics Journal, 27(2), 278-298.
MLA Liu, Qiang,et al."Estimating spot volatility under infinite variation jumps with dependent market microstructure noise".Econometrics Journal 27.2(2024):278-298.
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