Artikel

Estimating stochastic volatility under the assumption of stochastic volatility of volatility

We propose novel nonparametric estimators for stochastic volatility and the volatility of volatility. In doing so, we relax the assumption of a constant volatility of volatility and therefore, we allow the volatility of volatility to vary over time. Our methods are exceedingly simple and far simpler than the existing ones. Using intraday prices for the Standard & Poor's 500 equity index, the estimates revealed strong evidence that both volatility and the volatility of volatility are stochastic. We also proceeded in a Monte Carlo simulation analysis and found that the estimates were reasonably accurate. Such evidence implies that the stochastic volatility models proposed in the literature with constant volatility of volatility may fail to approximate the discrete-time short rate dynamics.

Sprache
Englisch

Erschienen in
Journal: Risks ; ISSN: 2227-9091 ; Volume: 8 ; Year: 2020 ; Issue: 2 ; Pages: 1-16 ; Basel: MDPI

Klassifikation
Wirtschaft
Thema
nonparametric estimators
stochastic volatility
stochastic volatility of volatility

Ereignis
Geistige Schöpfung
(wer)
Alghalith, Moawia
Floros, Christos
Gillas, Konstantinos Gkillas
Ereignis
Veröffentlichung
(wer)
MDPI
(wo)
Basel
(wann)
2020

DOI
doi:10.3390/risks8020035
Handle
Letzte Aktualisierung
10.03.2025, 11:42 MEZ

Datenpartner

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Objekttyp

  • Artikel

Beteiligte

  • Alghalith, Moawia
  • Floros, Christos
  • Gillas, Konstantinos Gkillas
  • MDPI

Entstanden

  • 2020

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