ESTIMATING THE VOLATILITY OCCUPATION TIME VIA REGULARIZED LAPLACE INVERSION
Journal Article (Journal Article)
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.
Full Text
Duke Authors
Cited Authors
- Li, J; Todorov, V; Tauchen, G
Published Date
- October 1, 2016
Published In
Volume / Issue
- 32 / 5
Start / End Page
- 1253 - 1288
Electronic International Standard Serial Number (EISSN)
- 1469-4360
International Standard Serial Number (ISSN)
- 0266-4666
Digital Object Identifier (DOI)
- 10.1017/S0266466615000171
Citation Source
- Scopus