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The Review of Economics and Statistics Vol. 106 No. 4 2024

Reading the Candlesticks: An OK Estimator for Volatility

Jia Li1; Dishen Wang2; Qiushi Zhang3

1 Singapore Management University · 2 Derivatives China Capital · 3 University of International Business and Economics

Abstract

We propose an Optimal candlesticK (OK) estimator for the spot volatility using high-frequency candlestick observations. Under a standard infill asymptotic setting, we show that the OK estimator is asymptotically unbiased and has minimal asymptotic variance within a class of linear estimators. Its estimation error can be coupled by a Brownian functional, which permits valid inference. Our theoretical and numerical results suggest that the proposed candlestick-based estimator is much more accurate than the conventional spot volatility estimator based on high-frequency returns. An empirical illustration documents the intraday volatility dynamics of various assets during the Fed chairman’s recent congressional testimony.

DOI
10.1162/rest_a_01203
Volume
106
Issue
4
Pages
1114-1128
Language
en
Sources
bibtex:phds-export.bib openalex crossref

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