Arbeitspapier

Jump-robust volatility estimation using nearest neighbor truncation

We propose two new jump-robust estimators of integrated variance based on highfrequency return observations. These MinRV and MedRV estimators provide an attractive alternative to the prevailing bipower and multipower variation measures. Specifically, the MedRV estimator has better theoretical efficiency properties than the tripower variation measure and displays better finite-sample robustness to both jumps and the occurrence of 'zero' returns in the sample. Unlike the bipower variation measure, the new estimators allow for the development of an asymptotic limit theory in the presence of jumps. Finally, they retain the local nature associated with the low-order multipower variation measures. This proves essential for alleviating finite sample biases arising from the pronounced intraday volatility pattern that afflicts alternative jump-robust estimators based on longer blocks of returns. An empirical investigation of the Dow Jones 30 stocks and an extensive simulation study corroborate the robustness and efficiency properties of the new estimators.

Language
Englisch

Bibliographic citation
Series: Staff Report ; No. 465

Classification
Wirtschaft
Semiparametric and Nonparametric Methods: General
Statistical Simulation Methods: General
Single Equation Models; Single Variables: Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
Data Collection and Data Estimation Methodology; Computer Programs: General
General Financial Markets: General (includes Measurement and Data)
Subject
Integrated volatility
jump robust

Event
Geistige Schöpfung
(who)
Andersen, Torben G.
Dobrev, Dobrislav
Schaumburg, Ernst
Event
Veröffentlichung
(who)
Federal Reserve Bank of New York
(where)
New York, NY
(when)
2010

Handle
Last update
10.03.2025, 11:44 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Andersen, Torben G.
  • Dobrev, Dobrislav
  • Schaumburg, Ernst
  • Federal Reserve Bank of New York

Time of origin

  • 2010

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