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Optimal approximations of power-laws with exponentials: application to volatility models with long memory

[journal article]

Challet, Damien
Bochud, Thierry

Abstract
We propose an explicit recursive method to approximate a power-law with a finite sum of weighted exponentials. Applications to moving averages with long memory are discussed in relationship with stochastic volatility models.

Classification
Basic Research, General Concepts and History of Economics

Method
development of methods

Free Keywords
Stochastic Volatility; Time Series Analysis; Volatility Modelling; Exponential moving averages

Document language
English

Publication Year
2007

Page/Pages
p. 585-589

Journal
Quantitative Finance, 7 (2007) 6

DOI
https://doi.org/10.1080/14697680701278291

Status
Postprint; peer reviewed

Licence
PEER Licence Agreement (applicable only to documents from PEER project)


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© 2007 - 2025 Social Science Open Access Repository (SSOAR).
Based on DSpace, Copyright (c) 2002-2022, DuraSpace. All rights reserved.