Open Access
2023 Edgeworth expansions for volatility models
Moritz Jirak
Author Affiliations +
Electron. J. Probab. 28: 1-18 (2023). DOI: 10.1214/23-EJP1018

Abstract

Motivated from option and derivative pricing, this note develops Edgeworth expansions both in the Kolmogorov and Wasserstein metric for many different types of discrete time volatility models and their possible transformations. This includes, among others, Hölder-type functions of (augmented) Garch processes of any order, iterated random functions or Volterra-processes.

Acknowledgments

I would like to thank the reviewers for a careful reading and the many thoughtful comments, pointing in particular to related and attached literature.

Citation

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Moritz Jirak. "Edgeworth expansions for volatility models." Electron. J. Probab. 28 1 - 18, 2023. https://doi.org/10.1214/23-EJP1018

Information

Received: 3 November 2021; Accepted: 11 September 2023; Published: 2023
First available in Project Euclid: 18 December 2023

Digital Object Identifier: 10.1214/23-EJP1018

Subjects:
Primary: 60F05 , 60F25 , 60G10

Keywords: Edgeworth expansions , GARCH , volatility models , Weak dependence

Vol.28 • 2023
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