Regular Variation of Popular GARCH Processes Allowing for Distributional Asymmetry
Todd Prono ()
No 2017-095, Finance and Economics Discussion Series from Board of Governors of the Federal Reserve System (US)
Linear GARCH(1,1) and threshold GARCH(1,1) processes are established as regularly varying, meaning their heavy tails are Pareto like, under conditions that allow the innovations from the, respective, processes to be skewed. Skewness is considered a stylized fact for many financial returns assumed to follow GARCH-type processes. The result in this note aids in establishing the asymptotic properties of certain GARCH estimators proposed in the literature.
Keywords: GARCH; Pareto tail; Heavy tail; Regular variation; Threshold GARCH (search for similar items in EconPapers)
JEL-codes: C20 C22 C53 C58 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-ecm, nep-ets and nep-ore
References: View references in EconPapers View complete reference list from CitEc
Citations: Track citations by RSS feed
Downloads: (external link)
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
Persistent link: https://EconPapers.repec.org/RePEc:fip:fedgfe:2017-95
Ordering information: This working paper can be ordered from
http://www.federalre ... /feds/fedsorder.html
Access Statistics for this paper
More papers in Finance and Economics Discussion Series from Board of Governors of the Federal Reserve System (US) Contact information at EDIRC.
Bibliographic data for series maintained by Ryan Wolfslayer ().