Arbeitspapier

Estimation of long memory in volatility using wavelets

This work studies wavelet-based Whittle estimator of the Fractionally Integrated Exponential Generalized Autoregressive Conditional Heteroscedasticity (FIEGARCH) model, often used for modeling long memory in volatility of financial assets. The newly proposed estimator approximates the spectral density using wavelet transform, which makes it more robust to certain types of irregularities in data. Based on an extensive Monte Carlo study, both behaviour of the proposed estimator and its relative performance with respect to traditional estimators are assessed. In addition, we study properties of the estimators in presence of jumps, which brings interesting discussion. We find that wavelet-based estimator may become an attractive robust and fast alternative to the traditional methods of estimation.

Language
Englisch

Bibliographic citation
Series: FinMaP-Working Paper ; No. 33

Classification
Wirtschaft
Subject
volatility
long memory
FIEGARCH
wavelets
Whittle
Monte Carlo

Event
Geistige Schöpfung
(who)
Kraicova, Lucie
Barunik, Jozef
Event
Veröffentlichung
(who)
Kiel University, FinMaP - Financial Distortions and Macroeconomic Performance
(where)
Kiel
(when)
2015

Handle
Last update
10.03.2025, 11:44 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Kraicova, Lucie
  • Barunik, Jozef
  • Kiel University, FinMaP - Financial Distortions and Macroeconomic Performance

Time of origin

  • 2015

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