The Value-At-Risk Estimate of Stock and Currency-Stock Portfolios’ Returns

This study utilizes the seven bivariate generalized autoregressive conditional heteroskedasticity (GARCH) models to forecast the out-of-sample value-at-risk (VaR) of 21 stock portfolios and seven currency-stock portfolios with three weight combinations, and then employs three accuracy tests and one...

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Main Authors: Jung-Bin Su, Jui-Cheng Hung
Format: Article
Language:English
Published: MDPI AG 2018-11-01
Series:Risks
Subjects:
Online Access:https://www.mdpi.com/2227-9091/6/4/133
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author Jung-Bin Su
Jui-Cheng Hung
author_facet Jung-Bin Su
Jui-Cheng Hung
author_sort Jung-Bin Su
collection DOAJ
description This study utilizes the seven bivariate generalized autoregressive conditional heteroskedasticity (GARCH) models to forecast the out-of-sample value-at-risk (VaR) of 21 stock portfolios and seven currency-stock portfolios with three weight combinations, and then employs three accuracy tests and one efficiency test to evaluate the VaR forecast performance for the above models. The seven models are constructed by four types of bivariate variance-covariance specifications and two approaches of parameters estimates. The four types of bivariate variance-covariance specifications are the constant conditional correlation (CCC), asymmetric and symmetric dynamic conditional correlation (ADCC and DCC), and the BEKK, whereas the two types of approach include the standard and non-standard approaches. Empirical results show that, regarding the accuracy tests, the VaR forecast performance of stock portfolios varies with the variance-covariance specifications and the approaches of parameters estimate, whereas it does not vary with the weight combinations of portfolios. Conversely, the VaR forecast performance of currency-stock portfolios is almost the same for all models and still does not vary with the weight combinations of portfolios. Regarding the efficiency test via market risk capital, the NS-BEKK model is the most suitable model to be used in the stock and currency-stock portfolios for bank risk managers irrespective of the weight combination of portfolios.
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spelling doaj.art-07abb8e1304d438aba36d5b929c5445a2022-12-21T17:42:55ZengMDPI AGRisks2227-90912018-11-016413310.3390/risks6040133risks6040133The Value-At-Risk Estimate of Stock and Currency-Stock Portfolios’ ReturnsJung-Bin Su0Jui-Cheng Hung1Department of Finance, China University of Science and Technology, No. 245, Sec. 3, Academia Rd., Nangang Dist., Taipei 11581, TaiwanDepartment of Banking and Finance, Chinese Culture University, No. 55, Hwa-Kang Rd., Yang-Ming-Shan, Taipei 11114, TaiwanThis study utilizes the seven bivariate generalized autoregressive conditional heteroskedasticity (GARCH) models to forecast the out-of-sample value-at-risk (VaR) of 21 stock portfolios and seven currency-stock portfolios with three weight combinations, and then employs three accuracy tests and one efficiency test to evaluate the VaR forecast performance for the above models. The seven models are constructed by four types of bivariate variance-covariance specifications and two approaches of parameters estimates. The four types of bivariate variance-covariance specifications are the constant conditional correlation (CCC), asymmetric and symmetric dynamic conditional correlation (ADCC and DCC), and the BEKK, whereas the two types of approach include the standard and non-standard approaches. Empirical results show that, regarding the accuracy tests, the VaR forecast performance of stock portfolios varies with the variance-covariance specifications and the approaches of parameters estimate, whereas it does not vary with the weight combinations of portfolios. Conversely, the VaR forecast performance of currency-stock portfolios is almost the same for all models and still does not vary with the weight combinations of portfolios. Regarding the efficiency test via market risk capital, the NS-BEKK model is the most suitable model to be used in the stock and currency-stock portfolios for bank risk managers irrespective of the weight combination of portfolios.https://www.mdpi.com/2227-9091/6/4/133value-at-riskaccuracy testefficiency testconstant conditional correlationdynamic conditional correlationstock market
spellingShingle Jung-Bin Su
Jui-Cheng Hung
The Value-At-Risk Estimate of Stock and Currency-Stock Portfolios’ Returns
Risks
value-at-risk
accuracy test
efficiency test
constant conditional correlation
dynamic conditional correlation
stock market
title The Value-At-Risk Estimate of Stock and Currency-Stock Portfolios’ Returns
title_full The Value-At-Risk Estimate of Stock and Currency-Stock Portfolios’ Returns
title_fullStr The Value-At-Risk Estimate of Stock and Currency-Stock Portfolios’ Returns
title_full_unstemmed The Value-At-Risk Estimate of Stock and Currency-Stock Portfolios’ Returns
title_short The Value-At-Risk Estimate of Stock and Currency-Stock Portfolios’ Returns
title_sort value at risk estimate of stock and currency stock portfolios returns
topic value-at-risk
accuracy test
efficiency test
constant conditional correlation
dynamic conditional correlation
stock market
url https://www.mdpi.com/2227-9091/6/4/133
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