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Document type:
Zeitschriftenaufsatz 
Author(s):
Haug, S., Klüppelberg, C., and Straub, G. 
Title:
Fractionally integrated COGARCH processes 
Abstract:
We construct fractionally integrated continuous-time GARCH models, which capture the observed long range dependence of squared volatility in high-frequency data. Since the usual Molchan-Golosov and Mandelbrot-van-Ness fractional kernels lead to problems in the definition of the model, we resort to moderately long memory processes by choosing a fractional parameter d∈ (-0.5,0) and remove the singularities of the kernel to obtain non-pathological sample paths. The volatility of the new fra...    »
 
Keywords:
FICOGARCH, fractionally integrated COGARCH, fractional subordinator, Lévy process, long-range dependence, stationarity, stochastic volatility modeling 
Dewey Decimal Classification:
510 Mathematik 
Journal title:
Journal of Financial Econometrics 
Year:
2018 
Journal volume:
16 
Year / month:
2018-10 
Quarter:
4. Quartal 
Month:
Oct 
Journal issue:
Pages contribution:
599–628 
Language:
en 
Fulltext / DOI:
Publisher:
Oxford Academic 
Publisher address:
Oxford, UK 
Status:
Verlagsversion / published 
Semester:
WS 18-19 
TUM Institution:
Lehrstuhl für Mathematische Statistik 
Format:
Text