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Titel:

Superposition of COGARCH processes

Dokumenttyp:
Zeitschriftenaufsatz
Autor(en):
Behme, A., Chong, C., and Klüppelberg, C.
Abstract:
We suggest three superpositions of COGARCH (supCOGARCH) volatility processes driven by Lévy processes or Lévy bases. We investigate second-order properties, jump behaviour, and prove that they exhibit Pareto-like tails. Corresponding price processes are defined and studied. We find that the supCOGARCH models allow for more flexible autocovariance structures than the COGARCH. Moreover, other than most financial volatility models, the supCOGARCH processes do not exhibit a deterministic relations...     »
Stichworte:
COGARCH, continuous-time GARCH model, independently scattered, infinite divisibility, Lévy basis, Lévy process, random measure, stationarity, stochastic volatility process, supCOGARCH, superposition
Dewey Dezimalklassifikation:
510 Mathematik
Zeitschriftentitel:
Stochastic Processes and their Applications
Jahr:
2015
Band / Volume:
125
Jahr / Monat:
2015-04
Quartal:
2. Quartal
Monat:
Apr
Heft / Issue:
4
Seitenangaben Beitrag:
1426-1469
Reviewed:
ja
Sprache:
en
Volltext / DOI:
doi:10.1016/j.spa.2014.11.004
WWW:
Stochastic Processes and their Applications
Verlag / Institution:
Elsevier
Status:
Verlagsversion / published
Semester:
SS 15
TUM Einrichtung:
Lehrstuhl für Mathematische Statistik
Format:
Text
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