IDEAS home Printed from https://ideas.repec.org/a/kap/rqfnac/v57y2021i1d10.1007_s11156-020-00940-7.html
   My bibliography  Save this article

Time-varying information share and autoregressive loading factors: evidence from S&P 500 cash and E-mini futures markets

Author

Listed:
  • Yang Hou

    (University of Waikato)

  • Steven Li

    (RMIT University)

  • Fenghua Wen

    (Central South University)

Abstract

The error correction coefficients, known as the loading factors, are a key component for information share. To date, only constant loading factors have been considered for information share. This paper attempts to consider the autoregressive loading factors and their implications on the information share. Based on the minute-by-minute data from the S&P 500 cash and E-mini futures markets, this paper reveals that the loading factors are indeed autoregressive. Furthermore, we propose three AR(1) processes for the loading factors and assess their performance in information share compared to the constant loading factor model. Overall, this research provides supporting empirical evidence for using autoregressive loading factors for the information share measurement.

Suggested Citation

  • Yang Hou & Steven Li & Fenghua Wen, 2021. "Time-varying information share and autoregressive loading factors: evidence from S&P 500 cash and E-mini futures markets," Review of Quantitative Finance and Accounting, Springer, vol. 57(1), pages 91-110, July.
    • Handle: RePEc:kap:rqfnac:v:57:y:2021:i:1:d:10.1007_s11156-020-00940-7
    DOI: 10.1007/s11156-020-00940-7
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11156-020-00940-7
    File Function: Abstract
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s11156-020-00940-7?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Joel Hasbrouck, 2003. "Intraday Price Formation in U.S. Equity Index Markets," Journal of Finance, American Finance Association, vol. 58(6), pages 2375-2400, December.
    2. Grammig, Joachim & Peter, Franziska J., 2013. "Telltale Tails: A New Approach to Estimating Unique Market Information Shares," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 48(2), pages 459-488, April.
    3. Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 39(3), pages 106-135.
    4. Hasbrouck, Joel, 1991. "Measuring the Information Content of Stock Trades," Journal of Finance, American Finance Association, vol. 46(1), pages 179-207, March.
    5. Yu‐Lun Chen & Yin‐Feng Gau, 2009. "Tick sizes and relative rates of price discovery in stock, futures, and options markets: Evidence from the Taiwan stock exchange," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 29(1), pages 74-93, January.
    6. Hasbrouck, Joel, 1995. "One Security, Many Markets: Determining the Contributions to Price Discovery," Journal of Finance, American Finance Association, vol. 50(4), pages 1175-1199, September.
    7. Sung Yong Park & Sang Young Jei, 2010. "Estimation and hedging effectiveness of time‐varying hedge ratio: Flexible bivariate garch approaches," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 30(1), pages 71-99, January.
    8. Philipp Adämmer & Martin T. Bohl & Christian Gross, 2016. "Price Discovery in Thinly Traded Futures Markets: How Thin is Too Thin?," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 36(9), pages 851-869, September.
    9. Back, Kerry & Pedersen, Hal, 1998. "Long-lived information and intraday patterns," Journal of Financial Markets, Elsevier, vol. 1(3-4), pages 385-402, September.
    10. Nelson, Daniel B, 1991. "Conditional Heteroskedasticity in Asset Returns: A New Approach," Econometrica, Econometric Society, vol. 59(2), pages 347-370, March.
    11. Chen, Yu-Lun & Gau, Yin-Feng, 2010. "News announcements and price discovery in foreign exchange spot and futures markets," Journal of Banking & Finance, Elsevier, vol. 34(7), pages 1628-1636, July.
    12. Alfonso Dufour & Robert F. Engle, 2000. "Time and the Price Impact of a Trade," Journal of Finance, American Finance Association, vol. 55(6), pages 2467-2498, December.
    13. Yiuman Tse & Paramita Bandyopadhyay & Yang-Pin Shen, 2006. "Intraday Price Discovery in the DJIA Index Markets," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 33(9-10), pages 1572-1585.
    14. Susmel, Raul & Engle, Robert F., 1994. "Hourly volatility spillovers between international equity markets," Journal of International Money and Finance, Elsevier, vol. 13(1), pages 3-25, February.
    15. Avino, Davide & Lazar, Emese & Varotto, Simone, 2015. "Time varying price discovery," Economics Letters, Elsevier, vol. 126(C), pages 18-21.
    16. Gonzalo, Jesus & Granger, Clive W J, 1995. "Estimation of Common Long-Memory Components in Cointegrated Systems," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(1), pages 27-35, January.
    17. Lorenzo Cappiello & Robert F. Engle & Kevin Sheppard, 2006. "Asymmetric Dynamics in the Correlations of Global Equity and Bond Returns," Journal of Financial Econometrics, Oxford University Press, vol. 4(4), pages 537-572.
    18. Yan, Bingcheng & Zivot, Eric, 2010. "A structural analysis of price discovery measures," Journal of Financial Markets, Elsevier, vol. 13(1), pages 1-19, February.
    19. Nicholas Taylor, 2011. "Time-varying price discovery in fragmented markets," Applied Financial Economics, Taylor & Francis Journals, vol. 21(10), pages 717-734.
    20. Wang, Jianxin & Yang, Minxian, 2015. "How well does the weighted price contribution measure price discovery?," Journal of Economic Dynamics and Control, Elsevier, vol. 55(C), pages 113-129.
    21. Aysegul Ates & George H. K. Wang, 2005. "Information transmission in electronic versus open‐outcry trading systems: An analysis of U.S. equity index futures markets," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 25(7), pages 679-715, July.
    22. Baillie, Richard T. & Geoffrey Booth, G. & Tse, Yiuman & Zabotina, Tatyana, 2002. "Price discovery and common factor models," Journal of Financial Markets, Elsevier, vol. 5(3), pages 309-321, July.
    23. Xu, Feng & Wan, Difang, 2015. "The impacts of institutional and individual investors on the price discovery in stock index futures market: Evidence from China," Finance Research Letters, Elsevier, vol. 15(C), pages 221-231.
    24. Donald Lien & Keshab Shrestha, 2014. "Price Discovery in Interrelated Markets," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 34(3), pages 203-219, March.
    25. Baillie, Richard T & Bollerslev, Tim, 2002. "The Message in Daily Exchange Rates: A Conditional-Variance Tale," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 60-68, January.
    26. Qiang Liu & Gaoxiu Qiao, 2017. "The evolving nature of intraday price discovery in the Chinese CSI 300 index futures market," Empirical Economics, Springer, vol. 52(4), pages 1569-1585, June.
    27. Bollerslev, Tim, 1987. "A Conditionally Heteroskedastic Time Series Model for Speculative Prices and Rates of Return," The Review of Economics and Statistics, MIT Press, vol. 69(3), pages 542-547, August.
    28. Engle, Robert F & Gonzalez-Rivera, Gloria, 1991. "Semiparametric ARCH Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 9(4), pages 345-359, October.
    29. Sugato Chakravarty & Huseyin Gulen & Stewart Mayhew, 2004. "Informed Trading in Stock and Option Markets," Journal of Finance, American Finance Association, vol. 59(3), pages 1235-1258, June.
    30. Garbade, Kenneth D & Silber, William L, 1983. "Price Movements and Price Discovery in Futures and Cash Markets," The Review of Economics and Statistics, MIT Press, vol. 65(2), pages 289-297, May.
    31. Donald Lien & Keshab Shrestha, 2009. "A new information share measure," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 29(4), pages 377-395, April.
    32. Yiuman Tse, 1999. "Price discovery and volatility spillovers in the DJIA index and futures markets," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 19(8), pages 911-930, December.
    33. deB. Harris, Frederick H. & McInish, Thomas H. & Wood, Robert A., 2002. "Security price adjustment across exchanges: an investigation of common factor components for Dow stocks," Journal of Financial Markets, Elsevier, vol. 5(3), pages 277-308, July.
    34. Easley, David & O'Hara, Maureen, 1992. "Time and the Process of Security Price Adjustment," Journal of Finance, American Finance Association, vol. 47(2), pages 576-605, June.
    35. Raymond W. So & Yiuman Tse, 2004. "Price discovery in the hang seng index markets: Index, futures, and the tracker fund," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 24(9), pages 887-907, September.
    36. Wang, Jianxin & Yang, Minxian, 2011. "Housewives of Tokyo versus the gnomes of Zurich: Measuring price discovery in sequential markets," Journal of Financial Markets, Elsevier, vol. 14(1), pages 82-108, February.
    37. Donald Lien & Zijun Wang, 2016. "Estimation of Market Information Shares: A Comparison," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 36(11), pages 1108-1124, November.
    38. Zhong, Maosen & Darrat, Ali F. & Otero, Rafael, 2004. "Price discovery and volatility spillovers in index futures markets: Some evidence from Mexico," Journal of Banking & Finance, Elsevier, vol. 28(12), pages 3037-3054, December.
    39. Frijns, Bart & Zwinkels, Remco C.J., 2018. "Time-varying arbitrage and dynamic price discovery," Journal of Economic Dynamics and Control, Elsevier, vol. 91(C), pages 485-502.
    40. Anat R. Admati, Paul Pfleiderer, 1988. "A Theory of Intraday Patterns: Volume and Price Variability," Review of Financial Studies, Society for Financial Studies, vol. 1(1), pages 3-40.
    41. Kurov, Alexander & Lasser, Dennis J., 2004. "Price Dynamics in the Regular and E-Mini Futures Markets," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 39(2), pages 365-384, June.
    42. Jeff Fleming & Barbara Ostdiek & Robert E. Whaley, 1996. "Trading costs and the relative rates of price discovery in stock, futures, and option markets," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 16(4), pages 353-387, June.
    43. Yiuman Tse & Paramita Bandyopadhyay & Yang‐Pin Shen, 2006. "Intraday Price Discovery in the DJIA Index Markets," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 33(9‐10), pages 1572-1585, November.
    44. Narayan, Paresh Kumar & Sharma, Susan Sunila, 2018. "An analysis of time-varying commodity market price discovery," International Review of Financial Analysis, Elsevier, vol. 57(C), pages 122-133.
    45. Chunchi Wu & Jinliang Li & Wei Zhang, 2005. "Intradaily periodicity and volatility spillovers between international stock index futures markets," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 25(6), pages 553-585, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Li, Wenhui & Zhu, Qi & Wen, Fenghua & Nor, Normaziah Mohd, 2022. "The evolution of day-of-the-week and the implications in crude oil market," Energy Economics, Elsevier, vol. 106(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Hou, Yang & Li, Steven, 2017. "Time-Varying Price Discovery and Autoregressive Loading Factors: Evidence from S&P 500 Cash and E-Mini Futures Markets," MPRA Paper 81999, University Library of Munich, Germany.
    2. Hou, Yang & Nartea, Gilbert, 2017. "Price Discovery in the Stock Index Futures Market: Evidence from the Chinese stock market crash," MPRA Paper 81995, University Library of Munich, Germany.
    3. Hu, Yang & Hou, Yang Greg & Oxley, Les, 2020. "What role do futures markets play in Bitcoin pricing? Causality, cointegration and price discovery from a time-varying perspective?," International Review of Financial Analysis, Elsevier, vol. 72(C).
    4. Yang Hu & Yang (Greg) Hou & Les Oxley, 2019. "Spot and Futures Prices of Bitcoin: Causality, Cointegration and Price Discovery from a Time-Varying Perspective," Working Papers in Economics 19/13, University of Waikato.
    5. Chen, Wei-Peng & Chung, Huimin & Lien, Donald, 2016. "Price discovery in the S&P 500 index derivatives markets," International Review of Economics & Finance, Elsevier, vol. 45(C), pages 438-452.
    6. Martin T. Bohl & Alexander Pütz & Pierre L. Siklos & Christoph Sulewski, 2018. "Information Transmission under Increasing Political Tension – Evidence for the Berlin Produce Exchange 1887-1896," CQE Working Papers 7618, Center for Quantitative Economics (CQE), University of Muenster.
    7. Hou, Yang & Li, Steven & Wen, Fenghua, 2019. "Time-varying volatility spillover between Chinese fuel oil and stock index futures markets based on a DCC-GARCH model with a semi-nonparametric approach," Energy Economics, Elsevier, vol. 83(C), pages 119-143.
    8. Kuck, Konstantin & Schweikert, Karsten, 2023. "Price discovery in equity markets: A state-dependent analysis of spot and futures markets," Journal of Banking & Finance, Elsevier, vol. 149(C).
    9. Martin T. Bohl & Alexander Pütz & Pierre L. Siklos & Christoph Sulewski, 2021. "Information transmission under increasing political tensions—Evidence from the Berlin Produce Exchange 1887–1896," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 41(2), pages 226-244, February.
    10. Donald Lien & Zijun Wang, 2019. "Quantile information share," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 39(1), pages 38-55, January.
    11. Damien Wallace & Petko S. Kalev & Guanhua Lian, 2019. "The evolution of price discovery in us equity and derivatives markets," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 39(9), pages 1122-1136, September.
    12. Mehdi Arzandeh & Julieta Frank, 2019. "Price Discovery in Agricultural Futures Markets: Should We Look beyond the Best Bid-Ask Spread?," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 101(5), pages 1482-1498.
    13. Zhou, Xinmiao & Zhang, Junru & Zhang, Zhaoyong, 2021. "How does news flow affect cross-market volatility spillovers? Evidence from China’s stock index futures and spot markets," International Review of Economics & Finance, Elsevier, vol. 73(C), pages 196-213.
    14. Chen, Wei-Peng & Ling Lin, Shu & Lu, Jun & Wu, Chih-Chiang, 2018. "The impact of funding liquidity on market quality," The North American Journal of Economics and Finance, Elsevier, vol. 44(C), pages 153-166.
    15. Li, Wei-Xuan & Chen, Clara Chia-Sheng & Nguyen, James, 2022. "Which market dominates the price discovery in currency futures? The case of the Chicago Mercantile Exchange and the Intercontinental Exchange," Global Finance Journal, Elsevier, vol. 52(C).
    16. Li, Hong & Shi, Yanlin, 2021. "A new unique information share measure with applications on cross-listed Chinese banks," Journal of Banking & Finance, Elsevier, vol. 128(C).
    17. Chen, Yu-Lun & Tsai, Wei-Che, 2017. "Determinants of price discovery in the VIX futures market," Journal of Empirical Finance, Elsevier, vol. 43(C), pages 59-73.
    18. Ho, Kin-Yip & Shi, Yanlin & Zhang, Zhaoyong, 2018. "Public information arrival, price discovery and dynamic correlations in the Chinese renminbi markets," The North American Journal of Economics and Finance, Elsevier, vol. 46(C), pages 168-186.
    19. Corbet, Shaen & Hou, Yang & Hu, Yang & Oxley, Les, 2020. "The influence of the COVID-19 pandemic on asset-price discovery: Testing the case of Chinese informational asymmetry," International Review of Financial Analysis, Elsevier, vol. 72(C).
    20. Collings, David & Corbet, Shaen & Hou, Yang (Greg) & Hu, Yang & Larkin, Charles & Oxley, Les, 2022. "The effects of negative reputational contagion on international airlines: The case of the Boeing 737-MAX disasters," International Review of Financial Analysis, Elsevier, vol. 80(C).

    More about this item

    Keywords

    Price discovery; Information share; S&P 500 E-mini futures; AGDCC GARCH; Loading factor; Error correction coefficient;
    All these keywords.

    JEL classification:

    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading
    • G15 - Financial Economics - - General Financial Markets - - - International Financial Markets

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:kap:rqfnac:v:57:y:2021:i:1:d:10.1007_s11156-020-00940-7. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.