Forecasting Realized Intra-Day Volatility and Value at Risk: Evidence From a Fractional Integrated Asymmetric Power ARCH Skewed-T Model

MPRA Paper No. 80488

Applied Financial Economics No. 14 (2004)

24 Pages Posted: 25 Oct 2018

See all articles by Stavros Antonios Degiannakis

Stavros Antonios Degiannakis

Department of Economic and Regional Development, Panteion University of Political and Social Sciences

Date Written: 2004

Abstract

Predicting the one-step-ahead volatility is of great importance in measuring and managing investment risk more accurately. Taking into consideration the main characteristics of the conditional volatility of asset returns, I estimate an asymmetric Autoregressive Conditional Heteroscedasticity (ARCH) model. The model is extended to also capture i) the skewness and excess kurtosis that the asset returns exhibit and ii) the fractional integration of the conditional variance. The model, which takes into consideration both the fractional integration of the conditional variance as well as the skewed and leptokurtic conditional distribution of innovations, produces the most accurate one-day-ahead volatility forecasts. The study recommends to portfolio managers and traders that extended ARCH models generate more accurate volatility forecasts of stock returns.

Keywords: ARCH Models, Fractional Integration, Intra-Day Volatility, Long Memory, Skewedt Distribution, Value-at-Risk, Volatility Forecasting

JEL Classification: C32, C52, C53, G15

Suggested Citation

Degiannakis, Stavros Antonios, Forecasting Realized Intra-Day Volatility and Value at Risk: Evidence From a Fractional Integrated Asymmetric Power ARCH Skewed-T Model (2004). MPRA Paper No. 80488, Applied Financial Economics No. 14 (2004), Available at SSRN: https://ssrn.com/abstract=3259770

Stavros Antonios Degiannakis (Contact Author)

Department of Economic and Regional Development, Panteion University of Political and Social Sciences ( email )

136 Sygrou
Athens
Greece

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