Investigating the Statistical Properties of the Hurst Exponent Estimator of Rough Volatility Model

Ostovari, Saeedeh
University of Gothenburg/Graduate Schooleng
Göteborgs universitet/Graduate Schoolswe
2021-06-30T13:28:54Z
2021-06-30T13:28:54Z
2021-06-30
MSc in Financesv
The aim of this thesis is to provide a characterization of the statistical properties of estimator of the Hurst parameter of the rough stochastic volatility model following fractional Brownian motion with Hurst index H. For this purpose, we perform a simulation experiment for fractional Brownian motion based on the circulant embedding method. Moreover, the study contributes to make a comparison between the Hurst estimator and the memory parameter estimator, d. The results indicate that the Hurst estimator is superior to considered memory estimators, however, in the presence of microstructure noise, it is downward biased.sv
http://hdl.handle.net/2077/68959
engsv
Master Degree Projectsv
2021:153sv
SocialBehaviourLaw
fractional Brownian motionsv
rough stochastic volatility modelssv
circulant embedding methodsv
fractionally integrated processsv
Realized volatilitysv
Investigating the Statistical Properties of the Hurst Exponent Estimator of Rough Volatility Modelsv
Text
Master 2-years
H2

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