{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T07:32:15Z","timestamp":1773214335916,"version":"3.50.1"},"reference-count":32,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2021,9,6]],"date-time":"2021-09-06T00:00:00Z","timestamp":1630886400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["71701104"],"award-info":[{"award-number":["71701104"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"MOE Project of Humanities and Social Sciences","award":["17YJC790102"],"award-info":[{"award-number":["17YJC790102"]}]},{"name":"Social Science Fund of Jiangsu Province","award":["20GLB008"],"award-info":[{"award-number":["20GLB008"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Combined with the B-P (breakpoint) test and VAR\u2013DCC\u2013GARCH model, the relationship between WTI crude oil futures and S&amp;P 500 index futures or CSI 300 index futures was investigated and compared. The results show that breakpoints exist in the relationship in the mean between WTI crude oil futures market and Chinese stock index futures market or US stock index futures market. The relationship in mean between WTI crude oil futures prices and S&amp;P 500 stock index futures, or CSI 300 stock index futures is weakening. Meanwhile, there is a decreasing dynamic conditional correlation between the WTI crude oil futures market and Chinese stock index futures market or US stock index futures market after the breakpoint in the price series. The Chinese stock index futures are less affected by short-term fluctuations in crude oil futures returns than US stock index futures.<\/jats:p>","DOI":"10.3390\/e23091172","type":"journal-article","created":{"date-parts":[[2021,9,6]],"date-time":"2021-09-06T21:47:38Z","timestamp":1630964858000},"page":"1172","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["The Relationship between Crude Oil Futures Market and Chinese\/US Stock Index Futures Market Based on Breakpoint Test"],"prefix":"10.3390","volume":"23","author":[{"given":"Xunfa","family":"Lu","sequence":"first","affiliation":[{"name":"School of Management Science and Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3729-5511","authenticated-orcid":false,"given":"Kai","family":"Liu","sequence":"additional","affiliation":[{"name":"Center for Economics, Finance and Management Studies, Hunan University, Changsha 410006, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kin Keung","family":"Lai","sequence":"additional","affiliation":[{"name":"School of Economics and Commerce, Guangdong University of Technology, Guangzhou 510006, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hairong","family":"Cui","sequence":"additional","affiliation":[{"name":"School of Management Science and Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,9,6]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"104481","DOI":"10.1016\/j.eneco.2019.104481","article-title":"Stochastic volatility, jumps and leverage in energy and stock markets: Evidence from high frequency data","volume":"93","author":"Baum","year":"2019","journal-title":"Energy Econ."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"681","DOI":"10.1080\/1331677X.2018.1426472","article-title":"The nexus between oil prices and stock prices of oil, technology and transportation companies under multiple regime shifts","volume":"31","author":"Shaeri","year":"2018","journal-title":"Econ. Res. -Ekon. Istra\u017eivanja"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"101637","DOI":"10.1016\/j.resourpol.2020.101637","article-title":"Implied volatility relationships between crude oil and the U.S. stock markets: Dynamic correlation and spillover effects","volume":"66","author":"Liu","year":"2020","journal-title":"Resour. Policy"},{"key":"ref_4","first-page":"25","article-title":"Inter-relationship between carbon trading, crude oil and stock markets: An empirical study based on structural break test and VAR model","volume":"33","author":"Wu","year":"2015","journal-title":"Syst. Eng."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"104781","DOI":"10.1016\/j.eneco.2020.104781","article-title":"On realized volatility of crude oil futures markets: Forecasting with exogenous predictors under structural breaks","volume":"89","author":"Luo","year":"2020","journal-title":"Energy Econ."},{"key":"ref_6","first-page":"28","article-title":"The dynamic correlation in Chinese crude oil futures markets based on petroleum industry chain","volume":"3","author":"Wang","year":"2020","journal-title":"J. Bank. Financ."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"101514","DOI":"10.1016\/j.frl.2020.101514","article-title":"Are Chinese crude oil futures good hedging tools?","volume":"38","author":"Li","year":"2021","journal-title":"Financ. Res. Lett."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1086\/296600","article-title":"Liquidity Effects of the Introduction of the S&P 500 Index Futures Contract on the Underlying Stocks","volume":"66","author":"Jegadeesh","year":"1993","journal-title":"J. Bus."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1016\/j.physa.2015.10.028","article-title":"The lead\u2013lag relationship between stock index and stock index futures: A thermal optimal path method","volume":"444","author":"Gong","year":"2016","journal-title":"Phys. A Stat. Mech. Its Appl."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1016\/j.jbankfin.2018.02.014","article-title":"Investor sentiment and price discovery: Evidence from the pricing dynamics between the futures and spot markets","volume":"90","author":"Lin","year":"2018","journal-title":"J. Bank. Financ."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"497","DOI":"10.1002\/fut.10016","article-title":"Measuring and forecasting S&P 500 index-futures volatility using high-frequency data","volume":"22","author":"Martens","year":"2002","journal-title":"J. Futur. Mark."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"1116","DOI":"10.1016\/S0148-2963(03)00043-2","article-title":"Using neural networks for forecasting volatility of S&P 500 Index futures prices","volume":"57","author":"Hamid","year":"2004","journal-title":"J. Bus. Res."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"46","DOI":"10.1016\/j.rfe.2015.11.001","article-title":"Trading behavior in S&P 500 index futures","volume":"28","author":"Smales","year":"2016","journal-title":"Rev. Financ. Econ."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"167","DOI":"10.2753\/REE1540-496X5001S111","article-title":"The Impact of Index Futures on Spot Market Volatility in China","volume":"50","author":"Xie","year":"2014","journal-title":"Emerg. Mark. Financ. Trade"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1016\/j.pacfin.2017.05.003","article-title":"Role of index futures on China\u2019s stock markets: Evidence from price discovery and volatility spillover","volume":"44","author":"Miao","year":"2017","journal-title":"Pac. Basin. Financ. J."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"102","DOI":"10.1016\/j.iref.2019.05.017","article-title":"The economic sources of China\u2019s CSI 300 spot and futures volatilities before and after the 2015 stock market crisis","volume":"64","author":"Chen","year":"2019","journal-title":"Int. Rev. Econ. Financ."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1016\/j.intfin.2018.02.004","article-title":"New insights into the US stock market reactions to energy price shocks","volume":"56","author":"Benkraiem","year":"2018","journal-title":"J. Int. Financ. Mark. Inst. Money"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"58","DOI":"10.1016\/j.eneco.2016.07.013","article-title":"Crude oil and stock markets: Causal relationships in tails?","volume":"59","author":"Ding","year":"2016","journal-title":"Energy Econ."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"2553","DOI":"10.1016\/j.jbankfin.2008.04.002","article-title":"WTI crude oil Futures in portfolio diversification: The time-to-maturity effect","volume":"32","author":"Geman","year":"2008","journal-title":"J. Bank. Financ."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"1","DOI":"10.2307\/1912017","article-title":"Macroeconomics and Reality","volume":"48","author":"Sims","year":"1980","journal-title":"Econometrica"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"1905","DOI":"10.1016\/j.enpol.2009.01.012","article-title":"Causal relationship between nuclear energy consumption and economic growth: A multi-country analysis","volume":"37","author":"Yoo","year":"2009","journal-title":"Energy Policy"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"339","DOI":"10.1198\/073500102288618487","article-title":"Dynamic conditional correlation: A simple class of multivariate generalized autoregressive conditional heteroskedasticity models","volume":"20","author":"Engle","year":"2002","journal-title":"J. Bus. Econ. Stat."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"101280","DOI":"10.1016\/j.irfa.2018.11.007","article-title":"Dependences and volatility spillovers between the oil and stock markets: New evidence from the copula and VAR-BEKK-GARCH models","volume":"68","author":"Yu","year":"2019","journal-title":"Int. Rev. Financ. Anal."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"311","DOI":"10.1016\/j.najef.2014.12.002","article-title":"Global factors driving structural changes in the co-movement between sharia stocks and sukuk in the Gulf Cooperation Council countries","volume":"31","author":"Aloui","year":"2015","journal-title":"N. Am. J. Econ. Financ."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"1518","DOI":"10.1126\/science.1205438","article-title":"Detecting Novel Associations in Large Data Sets","volume":"334","author":"Reshef","year":"2011","journal-title":"Science"},{"key":"ref_26","unstructured":"Cover, T.M., and Thomas, J.A. (2006). Elements of Information Theory, John Wiley & Sons. [2nd ed.]."},{"key":"ref_27","doi-asserted-by":"crossref","unstructured":"Niu, X., Ma, J., Wang, Y., Zhang, J., Chen, H., and Tang, H. (2021). A Novel Decomposition-Ensemble Learning Model Based on Ensemble Empirical Mode Decomposition and Recurrent Neural Network for Landslide Displacement Prediction. Appl. Sci., 11.","DOI":"10.3390\/app11104684"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"498","DOI":"10.2307\/2109358","article-title":"Modelling the Coherence in Short-Run Nominal Exchange Rates: A Multivariate Generalized Arch Model","volume":"72","author":"Bollerslev","year":"1990","journal-title":"Rev. Econ. Stat."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"47","DOI":"10.2307\/2998540","article-title":"Estimating and Testing Linear Models with Multiple Structural Changes","volume":"66","author":"Bai","year":"1998","journal-title":"Econometrica"},{"key":"ref_30","first-page":"311","article-title":"The effect of monetary policy shock on employment and output: The case of turkey","volume":"7","author":"Karaalp","year":"2012","journal-title":"Econ. Manag. Financ. Mark."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"172","DOI":"10.1016\/j.eneco.2013.12.017","article-title":"Oil price fluctuation, volatility spillover and the Ghanaian equity market: Implication for portfolio management and hedging effectiveness","volume":"42","author":"Lin","year":"2014","journal-title":"Energy Econ."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"251","DOI":"10.1080\/07350015.1992.10509904","article-title":"Further evidence on the great crash, the oil price shock and the unit root hypothesis","volume":"10","author":"Zivot","year":"1992","journal-title":"J. Bus. Econ. Stat."}],"container-title":["Entropy"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1099-4300\/23\/9\/1172\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T06:57:24Z","timestamp":1760165844000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1099-4300\/23\/9\/1172"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,9,6]]},"references-count":32,"journal-issue":{"issue":"9","published-online":{"date-parts":[[2021,9]]}},"alternative-id":["e23091172"],"URL":"https:\/\/doi.org\/10.3390\/e23091172","relation":{},"ISSN":["1099-4300"],"issn-type":[{"value":"1099-4300","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,9,6]]}}}