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Global estimation of realized spot volatility in the presence of price jumps

Type
working paper
Date Issued
2018
Author(s)
Fengler, Matthias  
;
Dare, Wale  
Abstract (De)
We propose a non-parametric procedure for estimating the realized spot volatility of a price process described by an Itô semimartingale with Lévy jumps. The procedure integrates the threshold jump elimination technique of Mancini (2009) with a frame (Gabor) expansion of the realized trajectory of spot volatility. We show that the procedure converges in probability in L2([0, T]) for a wide class of spot volatility processes, including those with discontinuous paths. Our analysis assumes the time interval between price observations tends to zero; as a result, the intended application is for the analysis of high frequency financial data.
Funding(s)
Structural Models of Volatility  
Language
English
HSG Classification
contribution to scientific community
HSG Profile Area
SEPS - Quantitative Economic Methods
Refereed
No
Official URL
http://ux-tauri.unisg.ch/RePEc/usg/econwp/EWP-1715.pdf
URL
https://www.alexandria.unisg.ch/handle/20.500.14171/101137
Subject(s)

economics

finance

Division(s)

SEPS - School of Econ...

MS - Faculty of Mathe...

University of St.Gall...

Eprints ID
258140
File(s)
Thumbnail Image
Name

EWP-1715.pdf

Size

2.11 MB

Format

Adobe PDF

Checksum (MD5)

19a174c47b38ec44f8273d411d9fd0a6

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