English

Edgeworth expansions for volatility models

Probability 2022-09-07 v3 Statistics Theory Mathematical Finance Statistics Theory

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, H\"{o}lder-type functions of (augmented) Garch processes of any order, iterated random functions or Volterra-processes.

Keywords

Cite

@article{arxiv.2111.00529,
  title  = {Edgeworth expansions for volatility models},
  author = {Moritz Jirak},
  journal= {arXiv preprint arXiv:2111.00529},
  year   = {2022}
}

Comments

minor extension, some typos removed

R2 v1 2026-06-24T07:19:50.283Z