Modelling dependency of volatility on sampling frequency via delay equations

The paper studies the modelling of time series with the prescribed dependence of the volatility on the sampling frequency. This dependence is often observed for financial time series. We suggest to model the dependence of volatility on sampling frequency via delay equations for the underlying pr...

Full description

Bibliographic Details
Main Authors: Luong, C., Dokuchaev, Nikolai
Format: Journal Article
Published: World Scientific Publishing Co. 2016
Subjects:
Online Access:http://purl.org/au-research/grants/arc/DP120100928
http://hdl.handle.net/20.500.11937/26630
Description
Summary:The paper studies the modelling of time series with the prescribed dependence of the volatility on the sampling frequency. This dependence is often observed for financial time series. We suggest to model the dependence of volatility on sampling frequency via delay equations for the underlying prices. It appears that these equations allow to model the price processes with volatility that increases when the sampling rates increase. In addition, these equations are able to model the inverse phenomena where the volatility decreases with the increase in sampling frequencies.