Kim, Jihyun, Park, Joon and Wang, Bin (2021) Estimation of volatility functions in jump diffusions using truncated bipower increments. Econometric Theory, vol. 37 (N° 5). pp. 926-958.

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Identification Number : 10.1017/S0266466620000389

Abstract

In the paper, we introduce and analyze a new methodology to estimate the volatility functions of jump diffusion models. Our methodology relies on the standard kernel estimation technique using truncated bipower increments. The relevant asymptotics are fully developed, which allow for the time span to increase as well as the sampling interval to decrease and accommodate both stationary and nonstationary recurrent processes. We evaluate the performance of our estimators by simulation and provide some illustrative empirical analyses.

Item Type: Article
Language: English
Date: October 2021
Refereed: Yes
Uncontrolled Keywords: nonparametric estimation, jump diffusion, aymptotics, diffusive and jump, volatility functions, Lévy measure, optimal bandwidth, bipower increment, threshold truncation
Subjects: B- ECONOMIE ET FINANCE
Divisions: TSE-R (Toulouse)
Site: UT1
Date Deposited: 16 Mar 2021 12:26
Last Modified: 12 Jan 2022 08:58
OAI Identifier: oai:tse-fr.eu:124227
URI: https://publications.ut-capitole.fr/id/eprint/34902
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