Volatility Forecasting: Downside Risk, Jumps and Leverage Effect

We provide empirical evidence of volatility forecasting in relation to asymmetries present in the dynamics of both return and volatility processes. Using recently-developed methodologies to detect jumps from high frequency price data, we estimate the size of positive and negative jumps and propose a...

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Main Authors: Francesco Audrino, Yujia Hu
Format: Article
Language:English
Published: MDPI AG 2016-02-01
Series:Econometrics
Subjects:
Online Access:http://www.mdpi.com/2225-1146/4/1/8
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author Francesco Audrino
Yujia Hu
author_facet Francesco Audrino
Yujia Hu
author_sort Francesco Audrino
collection DOAJ
description We provide empirical evidence of volatility forecasting in relation to asymmetries present in the dynamics of both return and volatility processes. Using recently-developed methodologies to detect jumps from high frequency price data, we estimate the size of positive and negative jumps and propose a methodology to estimate the size of jumps in the quadratic variation. The leverage effect is separated into continuous and discontinuous effects, and past volatility is separated into “good” and “bad”, as well as into continuous and discontinuous risks. Using a long history of the S & P500 price index, we find that the continuous leverage effect lasts about one week, while the discontinuous leverage effect disappears after one day. “Good” and “bad” continuous risks both characterize the volatility persistence, while “bad” jump risk is much more informative than “good” jump risk in forecasting future volatility. The volatility forecasting model proposed is able to capture many empirical stylized facts while still remaining parsimonious in terms of the number of parameters to be estimated.
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spelling doaj.art-4e9bf2b5ff3346468522642edfb4aa262022-12-22T04:28:38ZengMDPI AGEconometrics2225-11462016-02-0141810.3390/econometrics4010008econometrics4010008Volatility Forecasting: Downside Risk, Jumps and Leverage EffectFrancesco Audrino0Yujia Hu1Institute of Mathematics and Statistics, Department of Economics, University of St. Gallen, Bodanstrasse 6, 9000 St. Gallen, SwitzerlandInstitute of Mathematics and Statistics, Department of Economics, University of St. Gallen, Bodanstrasse 6, 9000 St. Gallen, SwitzerlandWe provide empirical evidence of volatility forecasting in relation to asymmetries present in the dynamics of both return and volatility processes. Using recently-developed methodologies to detect jumps from high frequency price data, we estimate the size of positive and negative jumps and propose a methodology to estimate the size of jumps in the quadratic variation. The leverage effect is separated into continuous and discontinuous effects, and past volatility is separated into “good” and “bad”, as well as into continuous and discontinuous risks. Using a long history of the S & P500 price index, we find that the continuous leverage effect lasts about one week, while the discontinuous leverage effect disappears after one day. “Good” and “bad” continuous risks both characterize the volatility persistence, while “bad” jump risk is much more informative than “good” jump risk in forecasting future volatility. The volatility forecasting model proposed is able to capture many empirical stylized facts while still remaining parsimonious in terms of the number of parameters to be estimated.http://www.mdpi.com/2225-1146/4/1/8high frequency datarealized volatility forecastingdownside riskleverage effect
spellingShingle Francesco Audrino
Yujia Hu
Volatility Forecasting: Downside Risk, Jumps and Leverage Effect
Econometrics
high frequency data
realized volatility forecasting
downside risk
leverage effect
title Volatility Forecasting: Downside Risk, Jumps and Leverage Effect
title_full Volatility Forecasting: Downside Risk, Jumps and Leverage Effect
title_fullStr Volatility Forecasting: Downside Risk, Jumps and Leverage Effect
title_full_unstemmed Volatility Forecasting: Downside Risk, Jumps and Leverage Effect
title_short Volatility Forecasting: Downside Risk, Jumps and Leverage Effect
title_sort volatility forecasting downside risk jumps and leverage effect
topic high frequency data
realized volatility forecasting
downside risk
leverage effect
url http://www.mdpi.com/2225-1146/4/1/8
work_keys_str_mv AT francescoaudrino volatilityforecastingdownsideriskjumpsandleverageeffect
AT yujiahu volatilityforecastingdownsideriskjumpsandleverageeffect