Arbeitspapier

A non-stationary approach for financial returns with nonparametric heteroscedasticity

A non-stationary regression model for financial returns is examined theoretically in this paper. Volatility dynamics are modelled both exogenously and deterministic, captured by a nonparametric curve estimation on equidistant centered returns. We prove consistency and asymptotic normality of a symmetric variance estimator and of a one-sided variance estimator analytically, and derive remarks on the bandwidth decision. Further attention is paid to asymmetry and heavy tails of the return distribution, implemented by an asymmetric version of the Pearson type VII distribution for random innovations. By providing a method of moments for its parameter estimation and a connection to the Student-t distribution we offer the framework for a factor-based VaR approach. The approximation quality of the non-stationary model is supported by simulation studies.

Sprache
Deutsch

Erschienen in
Series: Working Paper Series ; No. IF31V2

Klassifikation
Wirtschaft
Semiparametric and Nonparametric Methods: General
Model Construction and Estimation
Model Evaluation, Validation, and Selection
Thema
heteroscedastic asset returns
non-stationarity
nonparametric regression
volatility
innovation modelling
asymmetric heavy-tails
distributional forecast
Value at Risk (VaR)

Ereignis
Geistige Schöpfung
(wer)
Gürtler, Marc
Kreiss, Jens-Peter
Rauh, Ronald
Ereignis
Veröffentlichung
(wer)
Technische Universität Braunschweig, Institut für Finanzwirtschaft
(wo)
Braunschweig
(wann)
2009

Handle
Letzte Aktualisierung
10.03.2025, 11:43 MEZ

Datenpartner

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Objekttyp

  • Arbeitspapier

Beteiligte

  • Gürtler, Marc
  • Kreiss, Jens-Peter
  • Rauh, Ronald
  • Technische Universität Braunschweig, Institut für Finanzwirtschaft

Entstanden

  • 2009

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