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Robust risk management: accounting for nonstationarity and heavy tails

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Personen und Körperschaften: Chen, Ying (Sonstige), Spokoiny, Vladimir (Sonstige)
Titel: Robust risk management: accounting for nonstationarity and heavy tails/ Ying Chen; Vladimir Spokoiny
Format: E-Book
Sprache: Englisch
veröffentlicht:
Berlin WIAS 2007
Gesamtaufnahme: Weierstraß-Institut für Angewandte Analysis und Stochastik: Preprint ; 1207
Schlagwörter:
Quelle: Verbunddaten SWB
Lizenzfreie Online-Ressourcen
Details
Zusammenfassung: In the ideal Black-Scholes world, financial time series are assumed 1) stationary (time homogeneous) or can be modelled globally by a stationary process and 2) having conditionally normal distribution given the past. These two assumptions have been widely-used in many methods such as the RiskMetrics, one risk management method considered as industry standard. However these assumptions are unrealistic. The primary aim of the paper is to account for nonstationarity and heavy tails in time series by presenting a local exponential smoothing approach, by which the smoothing parameter is adaptively selected at every time point and the heavy-tailedness of the process is considered. A complete theory addresses both issues. In our study, we demonstrate the implementation of the proposed method in volatility estimation and risk management given simulated and real data. Numerical results show the proposed method delivers accurate and sensitive estimates.
Beschreibung: Unterschiede zwischen dem gedruckten Dokument und der elektronischen Ressource können nicht ausgeschlossen werden. - Auch als gedr. Ausg. vorhanden
Umfang: Online-Ressource (45 S., 522 KB); graph. Darst
Format: Systemvoraussetzungen: Acrobat reader.