ESTIMATING THE VOLATILITY OCCUPATION TIME VIA REGULARIZED LAPLACE INVERSION

Jia Li*, Viktor Todorov, George Tauchen

*Corresponding author for this work

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

We propose a consistent functional estimator for the occupation time of the spot variance of an asset price observed at discrete times on a finite interval with the mesh of the observation grid shrinking to zero. The asset price is modeled nonparametrically as a continuous-time Itô semimartingale with nonvanishing diffusion coefficient. The estimation procedure contains two steps. In the first step we estimate the Laplace transform of the volatility occupation time and, in the second step, we conduct a regularized Laplace inversion. Monte Carlo evidence suggests that the proposed estimator has good small-sample performance and in particular it is far better at estimating lower volatility quantiles and the volatility median than a direct estimator formed from the empirical cumulative distribution function of local spot volatility estimates. An empirical application shows the use of the developed techniques for nonparametric analysis of variation of volatility.

Original languageEnglish (US)
Pages (from-to)1253-1288
Number of pages36
JournalEconometric Theory
Volume32
Issue number5
DOIs
StatePublished - Oct 1 2016

ASJC Scopus subject areas

  • Social Sciences (miscellaneous)
  • Economics and Econometrics

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