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Log-volatility enhanced GARCH models for single asset returns

Tomasz Skoczylas

Bank i Kredyt, 2015, vol. 46, issue 5, 411-432

Abstract: This paper presents an alternative approach to modelling and forecasting single asset return volatility. A new, flexible framework is proposed, one which may be considered a development of single-equation GARCH-type models. In this approach an additional equation is added, which binds logarithms of conditional volatility and observed volatility, as measured by the Garman-Klass variance estimator. It enables more information to be retrieved from data. Proposed models are compared with benchmark GARCH and range-based GARCH (RGARCH) models in terms of prediction accuracy. All models are estimated with the maximum likelihood method, using time series of EUR/PLN, EUR/USD, EUR/GBP spot rates quotations as well as WIG20, Dow Jones industrial and DAX indexes. Results are encouraging, especially for foreasting Value-at-Risk. Log-volatility enhanced models achieved lesser rates of VaR exception, as well as lower coverage test statistics, without being more conservative than their single-equation counterparts, as their forecast error measures are to some degree similar.

Keywords: GARCH; range-based volatility estimators; observed volatility; Value-at-Risk; volatility forecasting (search for similar items in EconPapers)
JEL-codes: C13 C32 C53 C58 G10 G17 (search for similar items in EconPapers)
Date: 2015
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