Financial futures market is an important part of modern financial market systems in China. However, financial derivatives have natural properties of high-yield and high risk.Once a futures risk event occurs, it will cause great destructive effect to the whole financial markets.So investors have always been paying great attention to the prevention of futures' overnight risk. However, little work has been done to detect volatility characteristics and risk features of overnight return.
By taking CSI300 stock index futures for sample in this paper,CAViaR model is adopted to directly calculate the common VaR of overnight return. Nevertheless, considering rare data available during optimization in extreme quantiles, the estimation results may be biased. Therefore, a new framework, which combining extreme value theory and CAViaR model, is built to estimate the extreme overnight risk and analyze the dynamic characteristic of different quantiles both in left tail and right tail.Then both Kupiec LR(likelihood ratio) test and dynamic quantile test are used to backtest the accuracy of these models.
The empirical results are summarized as follows: (1) overnight return exhibits stylized facts of positive skewness, leptokurtosis and non-normal distribution. But it lacks of long-term memory property. (2) The three CAViaR models have strong predictivity power to the common overnight risk, among which the AS model performs best, while there is no significant difference between SAV model and IGARCH model. (3) After adding the extreme theory to the CAViaR model, the newly-constructed CAViaR-EVT model still can accurately depict the dynamic process of overnight risk in extreme low quantiles. Moreover, its forecast results are more reasonable than EVT model and GARCH-EVT models.
Important practical and social implications are suggested. The CAViaR model and CAViaR-EVT model offer useful practical approaches to forecast futures' overnight risk. Moreover, it also provides a theoretical reference to carry out effective risk management and monitor activities for the Chinese stock index futures investors and regulators, such as position limits and margin ratio.
JIAN Zhi-hong, ZENG Yu-feng, LIU Xi-teng
. Study on CSI 300 Stock Index Futures Overnight Risk Based on CAViaR Model[J]. Chinese Journal of Management Science, 2016
, 24(9)
: 1
-10
.
DOI: 10.16381/j.cnki.issn1003-207x.2016.09.001
[1] Del C W, Colwell D, Michayluk D, et al. News releases when markets are closed[R].Working Paper, University of Technology Sydney, 2003.
[2] Andersen T G, Bollerslev T. Answering the skeptics: Yes, standard volatility models do provide accurate forecasts[J].International Economic Review, 1998, 39(4):885-905.
[3] Hansen P R, Lunde A. A realized variance for the whole day based on intermittent high-frequency data[J].Journal of Financial Econometrics, 2005, 3(4):525-554.
[4] Koopman S J, Jungbacker B, Hol E. Forecasting daily variability of the S&P 100 stock index using historical, realised and implied volatilitymeasurements [J].Journal of Empirical Finance, 2005, 12(3):445-475.
[5] Andersen T G, Bollerslev T, Huang Xin. A reduced form framework for modeling volatility of speculative prices based on realized variation measures[J].Journal of Econometrics, 2011, 160(1):176-189.
[6] Taylor N. A note on the importance of overnight information in risk management models [J].Journalof Banking & Finance, 2007,31(1):161-180.
[7] 刘庆富,张金清.中国商品期货隔夜信息对日间交易的预测能力[J].管理科学学报,2013, 16(11):81-94.
[8] 简志宏,李彩云.隔夜风险可以预测吗?——基于HAR-CJ-M模型的高频数据分析[J].管理评论,2014,26(2):5-14.
[9] Engle R F,Manganelli S. CAViaR: Conditional autoregressive value at risk by regression quantile[J].Journal of Business and Economic Statistics, 2004, 22(4):367-381.
[10] Huang Dashan, Yu Baimin, Fabozzi F J, et al. CAViaR-based forecast for oil price risk[J].Energy Economics, 2009, 31(4):511-518.
[11] Huang Dashan, Yu Baimin, Lu Zudi, et al. Index-exciting CAViaR: A new empirical time-varying risk model[J].Studies in Nonlinear Dynamics & Econometrics, 2010, 14(2):1-24.
[12] 闫昌荣.基于流动性调整CAViaR模型的风险度量方法[J].数量经济技术经济研究,2012,(3):151-161.
[13] 陈磊,曾勇,杜华宇.石油期货收益率的分位数建模及其影响因素分析[J].中国管理科学,2012,20(3):35-40.
[14] 陈磊,杜化宇,曾勇.基于贝叶斯CAViaR模型的油价风险研究[J].系统工程理论与实践,2013,33(11):2757-2765.
[15] Koenker R, Bassett Jr G. Regression quantiles[J]. Econometrica, 1978, 41(1):33-50.
[16] Kupiec P H. Techniques for verifying the accuracy of risk measurement models[J].Journal of Derivatives, 1995, 3(2):73-84.
[17] 魏宇.基于多分形理论的动态VaR预测模型研究[J].中国管理科学,2012,20(5):7-15.
[18] 淳伟德,陈王,潘攀.典型事实约束下的上海燃油期货市场动态VaR测度研究[J].中国管理科学,2013,21(2):24-31.
[19] Manganelli S, Engle R F. Value at risk models in finance[R]. Working Paper,Frankfurt am Main: European Central Bank, 2001.
[20] McNeil A J, Frey R. Estimation of tail-related risk measures for heteroscedastic financial time series: An extreme value approach [J].Journal of Empirical Finance, 2000, 7(3):271-300.
[21] Longin F M. From value at risk to stress testing: The extreme value approach[J].Journal of Banking & Finance, 2000, 24(7):1097-1130.