Research on the Value at Risk of Basis for Stock Index Futures Hedging in China Based on Two-State Markov Process and Semiparametric RS-GARCH Model

This article aims to investigate the Value at Risk of basis for stock index futures hedging in China. Since the RS-GARCH model can effectively describe the state transition of variance in VaR and the two-state Markov process can significantly reduce the dimension, this paper constructs the parameter...

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Main Authors: Liang Wang, Tingjia Xu, Longhao Qin, Chenge Liu
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2019/8904162
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author Liang Wang
Tingjia Xu
Longhao Qin
Chenge Liu
author_facet Liang Wang
Tingjia Xu
Longhao Qin
Chenge Liu
author_sort Liang Wang
collection DOAJ
description This article aims to investigate the Value at Risk of basis for stock index futures hedging in China. Since the RS-GARCH model can effectively describe the state transition of variance in VaR and the two-state Markov process can significantly reduce the dimension, this paper constructs the parameter and semiparametric RS-GARCH models based on two-state Markov process. Furthermore, the logarithm likelihood function method and the kernel estimation with invariable bandwidth method are used for VaR estimation and empirical analysis. It is found that the three fitting errors (MSE, MAD, and QLIKE) of conditional variance calculated by semiparametric model are significantly smaller than that of the parametric model. The results of Kupiec backtesting on VaR obtained by the two models show that the failure days of the former are less than or equal to that of the latter, so it can be inferred that the semiparametric RS-GARCH model constructed in this paper is more effective in estimating the Value at Risk of the basis for Chinese stock index futures. In addition, the mean value and standard deviation of VaR obtained by the semiparametric RS-GARCH model are smaller than that of the parametric method, which can prove that the former model is more conservative in risk estimation.
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institution Kabale University
issn 1026-0226
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publishDate 2019-01-01
publisher Wiley
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spelling doaj-art-eedca2606d954600bf354e1452c334172025-02-03T06:00:34ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2019-01-01201910.1155/2019/89041628904162Research on the Value at Risk of Basis for Stock Index Futures Hedging in China Based on Two-State Markov Process and Semiparametric RS-GARCH ModelLiang Wang0Tingjia Xu1Longhao Qin2Chenge Liu3School of Economics and Business Administration, Xi’an University of Technology, Xi’an 710048, ChinaSchool of Economics and Business Administration, Xi’an University of Technology, Xi’an 710048, ChinaSchool of Economics and Business Administration, Xi’an University of Technology, Xi’an 710048, ChinaSchool of Economics and Business Administration, Xi’an University of Technology, Xi’an 710048, ChinaThis article aims to investigate the Value at Risk of basis for stock index futures hedging in China. Since the RS-GARCH model can effectively describe the state transition of variance in VaR and the two-state Markov process can significantly reduce the dimension, this paper constructs the parameter and semiparametric RS-GARCH models based on two-state Markov process. Furthermore, the logarithm likelihood function method and the kernel estimation with invariable bandwidth method are used for VaR estimation and empirical analysis. It is found that the three fitting errors (MSE, MAD, and QLIKE) of conditional variance calculated by semiparametric model are significantly smaller than that of the parametric model. The results of Kupiec backtesting on VaR obtained by the two models show that the failure days of the former are less than or equal to that of the latter, so it can be inferred that the semiparametric RS-GARCH model constructed in this paper is more effective in estimating the Value at Risk of the basis for Chinese stock index futures. In addition, the mean value and standard deviation of VaR obtained by the semiparametric RS-GARCH model are smaller than that of the parametric method, which can prove that the former model is more conservative in risk estimation.http://dx.doi.org/10.1155/2019/8904162
spellingShingle Liang Wang
Tingjia Xu
Longhao Qin
Chenge Liu
Research on the Value at Risk of Basis for Stock Index Futures Hedging in China Based on Two-State Markov Process and Semiparametric RS-GARCH Model
Discrete Dynamics in Nature and Society
title Research on the Value at Risk of Basis for Stock Index Futures Hedging in China Based on Two-State Markov Process and Semiparametric RS-GARCH Model
title_full Research on the Value at Risk of Basis for Stock Index Futures Hedging in China Based on Two-State Markov Process and Semiparametric RS-GARCH Model
title_fullStr Research on the Value at Risk of Basis for Stock Index Futures Hedging in China Based on Two-State Markov Process and Semiparametric RS-GARCH Model
title_full_unstemmed Research on the Value at Risk of Basis for Stock Index Futures Hedging in China Based on Two-State Markov Process and Semiparametric RS-GARCH Model
title_short Research on the Value at Risk of Basis for Stock Index Futures Hedging in China Based on Two-State Markov Process and Semiparametric RS-GARCH Model
title_sort research on the value at risk of basis for stock index futures hedging in china based on two state markov process and semiparametric rs garch model
url http://dx.doi.org/10.1155/2019/8904162
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AT tingjiaxu researchonthevalueatriskofbasisforstockindexfutureshedginginchinabasedontwostatemarkovprocessandsemiparametricrsgarchmodel
AT longhaoqin researchonthevalueatriskofbasisforstockindexfutureshedginginchinabasedontwostatemarkovprocessandsemiparametricrsgarchmodel
AT chengeliu researchonthevalueatriskofbasisforstockindexfutureshedginginchinabasedontwostatemarkovprocessandsemiparametricrsgarchmodel