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MODELING DEPENDENCY OF VOLATILITY ON SAMPLING FREQUENCY VIA DELAY EQUATIONS

Chuong Luong () and Nikolai Dokuchaev ()
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Chuong Luong: Department of Mathematics & Statistics, Curtin University, GPO Box U1987, Perth, 6845 Western Australia
Nikolai Dokuchaev: Department of Mathematics & Statistics, Curtin University, GPO Box U1987, Perth, 6845 Western Australia

Annals of Financial Economics (AFE), 2016, vol. 11, issue 02, 1-21

Abstract: The paper studies the modeling 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.

Keywords: Volatility; multiple time-scales; sampling frequency; delay equations; stock price models (search for similar items in EconPapers)
Date: 2016
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