Residential College | false |
Status | 已發表Published |
Estimating spot volatility under infinite variation jumps with dependent market microstructure noise | |
Liu, Qiang1; Liu, Zhi2 | |
2024-05-01 | |
Source Publication | Econometrics Journal |
ABS Journal Level | 3 |
ISSN | 1368-4221 |
Volume | 27Issue: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. |
Keyword | Dependent Market Microstructure Noise Empirical Characteristic Function High-frequency Data Jump Activity Jumps Kernel Smoothing Pre-averaging Spot Volatility |
DOI | 10.1093/ectj/utae001 |
URL | View the original |
Indexed By | SCIE ; SSCI |
Language | 英語English |
WOS Research Area | Business & Economics ; Mathematics ; Mathematical Methods In Social Sciences |
WOS Subject | Economics ; Mathematics, Interdisciplinary Applications ; Social Sciences, Mathematical Methods ; Statistics & Probability |
WOS ID | WOS:001157166800001 |
Publisher | OXFORD UNIV PRESSGREAT CLARENDON ST, OXFORD OX2 6DP, ENGLAND |
Scopus ID | 2-s2.0-85196889572 |
Fulltext Access | |
Citation statistics | |
Document Type | Journal article |
Collection | University of Macau |
Corresponding Author | Liu, Qiang |
Affiliation | 1.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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