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Title:

Superposition of COGARCH processes

Document type:
Zeitschriftenaufsatz
Author(s):
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...     »
Keywords:
COGARCH, continuous-time GARCH model, independently scattered, infinite divisibility, Lévy basis, Lévy process, random measure, stationarity, stochastic volatility process, supCOGARCH, superposition
Dewey Decimal Classification:
510 Mathematik
Journal title:
Stochastic Processes and their Applications
Year:
2015
Journal volume:
125
Year / month:
2015-04
Quarter:
2. Quartal
Month:
Apr
Journal issue:
4
Pages contribution:
1426-1469
Reviewed:
ja
Language:
en
Fulltext / DOI:
doi:10.1016/j.spa.2014.11.004
WWW:
Stochastic Processes and their Applications
Publisher:
Elsevier
Status:
Verlagsversion / published
Semester:
SS 15
TUM Institution:
Lehrstuhl für Mathematische Statistik
Format:
Text
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