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Price discovery in equity markets: A state-dependent analysis of spot and futures markets

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  • Kuck, Konstantin
  • Schweikert, Karsten

Abstract

This paper investigates the potentially time-varying importance of spot and futures markets in the price discovery process of financial assets. For this purpose, we generalize the concept of component shares and information shares to allow for state-dependent relevance of different markets over time. Instead of using a linear vector error correction model (VECM) to construct the component shares and information shares as it is common in the literature, we employ a Markov-switching VECM with time-varying adjustment behaviour and state-dependent covariance matrices. Simulation results confirm that state-dependent component shares and information shares can be estimated consistently within this framework. We apply our approach to spot and futures prices for different stock indices such as EuroStoxx50, FTSE100, Nikkei225, and SP500. We find a clear state probability pattern over the trading day that closely resembles the well-studied volatility smile and might be related to the presence of heterogeneous agents in those markets.

Suggested Citation

  • 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).
  • Handle: RePEc:eee:jbfina:v:149:y:2023:i:c:s037842662300033x
    DOI: 10.1016/j.jbankfin.2023.106808
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    References listed on IDEAS

    as
    1. Erik Theissen, 2012. "Price discovery in spot and futures markets: a reconsideration," The European Journal of Finance, Taylor & Francis Journals, vol. 18(10), pages 969-987, November.
    2. Ming‐Yuan Leon Li, 2009. "The dynamics of the relationship between spot and futures markets under high and low variance regimes," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 25(6), pages 696-718, November.
    3. de Jong, Frank, 2002. "Measures of contributions to price discovery: a comparison," Journal of Financial Markets, Elsevier, vol. 5(3), pages 323-327, July.
    4. Gustavo F. Dias & Marcelo Fernandes & Cristina M. Scherrer, 2021. "Price Discovery in a Continuous-Time Setting [Price Discovery and Common Factor Models]," Journal of Financial Econometrics, Oxford University Press, vol. 19(5), pages 985-1008.
    5. 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.
    6. 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.
    7. Figuerola-Ferretti, Isabel & Gonzalo, Jesús, 2010. "Modelling and measuring price discovery in commodity markets," Journal of Econometrics, Elsevier, vol. 158(1), pages 95-107, September.
    8. 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.
    9. 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.
    10. Zacharias Psaradakis & Nicola Spagnolo, 2006. "Joint Determination of the State Dimension and Autoregressive Order for Models with Markov Regime Switching," Journal of Time Series Analysis, Wiley Blackwell, vol. 27(5), pages 753-766, September.
    11. 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.
    12. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
    13. Martin T. Bohl & Christian A. Salm & Michael Schuppli, 2011. "Price discovery and investor structure in stock index futures," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 31(3), pages 282-306, March.
    14. Joel Hasbrouck, 2021. "Price Discovery in High Resolution," Journal of Financial Econometrics, Oxford University Press, vol. 19(3), pages 395-430.
    15. Scott R. Baker & Nicholas Bloom & Steven J. Davis, 2016. "Measuring Economic Policy Uncertainty," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 131(4), pages 1593-1636.
    16. 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.
    17. Martin Hauptfleisch & Tālis J. Putniņš & Brian Lucey, 2016. "Who Sets the Price of Gold? London or New York," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 36(6), pages 564-586, June.
    18. Andersen, Torben G. & Bollerslev, Tim, 1997. "Intraday periodicity and volatility persistence in financial markets," Journal of Empirical Finance, Elsevier, vol. 4(2-3), pages 115-158, June.
    19. Michael J. Barclay, 2003. "Price Discovery and Trading After Hours," The Review of Financial Studies, Society for Financial Studies, vol. 16(4), pages 1041-1073.
    20. Marcelo Fernandes & Cristina M. Scherrer, 2018. "Price discovery in dual‐class shares across multiple markets," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 38(1), pages 129-155, January.
    21. Mardi Dungey & Luba Fakhrutdinova & Charles Goodhart, 2009. "After‐hours trading in equity futures markets," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 29(2), pages 114-136, February.
    22. Dwyer, Gerald P, Jr & Locke, Peter R & Yu, Wei, 1996. "Index Arbitrage and Nonlinear Dynamics between the S&P 500 Futures and Cash," The Review of Financial Studies, Society for Financial Studies, vol. 9(1), pages 301-332.
    23. 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.
    24. 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.
    25. Peter Reinhard Hansen & Asger Lunde, 2005. "A Realized Variance for the Whole Day Based on Intermittent High-Frequency Data," Journal of Financial Econometrics, Oxford University Press, vol. 3(4), pages 525-554.
    26. Pradeep K. Yadav & Peter F. Pope & Krishna Paudyal, 1994. "Threshold Autoregressive Modeling In Finance: The Price Differences Of Equivalent Assets1," Mathematical Finance, Wiley Blackwell, vol. 4(2), pages 205-221, April.
    27. Mathieu Kessler & Anders Rahbek, 2001. "Asymptotic Likelihood Based Inference for Co‐integrated Homogenous Gaussian Diffusions," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 28(3), pages 455-470, September.
    28. Slezak, Steve L, 1994. "A Theory of the Dynamics of Security Returns around Market Closures," Journal of Finance, American Finance Association, vol. 49(4), pages 1163-1211, September.
    29. Dimpfl Thomas & Peter Franziska J., 2016. "Price discovery in the markets for credit risk: a Markov switching approach," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 20(3), pages 233-249, June.
    30. Foster, F Douglas & Viswanathan, S, 1993. "Variations in Trading Volume, Return Volatility, and Trading Costs: Evidence on Recent Price Formation Models," Journal of Finance, American Finance Association, vol. 48(1), pages 187-211, March.
    31. Moshirian, Fariborz & Nguyen, Huong Giang (Lily) & Pham, Peter Kien, 2012. "Overnight public information, order placement, and price discovery during the pre-opening period," Journal of Banking & Finance, Elsevier, vol. 36(10), pages 2837-2851.
    32. Donald Lien & Ziling Wang & Xiaojian Yu, 2021. "Quantile information share under Markov regime‐switching," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 41(4), pages 493-513, April.
    33. Dimpfl, Thomas & Flad, Michael & Jung, Robert C., 2017. "Price discovery in agricultural commodity markets in the presence of futures speculation," Journal of Commodity Markets, Elsevier, vol. 5(C), pages 50-62.
    34. Hamilton, James D, 1989. "A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle," Econometrica, Econometric Society, vol. 57(2), pages 357-384, March.
    35. G. Geoffrey Booth & Raymond W. So & Yiuman Tse, 1999. "Price discovery in the German equity index derivatives markets," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 19(6), pages 619-643, September.
    36. Ozturk, Sait R. & van der Wel, Michel & van Dijk, Dick, 2017. "Intraday price discovery in fragmented markets," Journal of Financial Markets, Elsevier, vol. 32(C), pages 28-48.
    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. Riccardo De Blasis, 2020. "The price leadership share: a new measure of price discovery in financial markets," Annals of Finance, Springer, vol. 16(3), pages 381-405, September.
    39. Martin Martens & Paul Kofman & Ton C. F. Vorst, 1998. "A threshold error-correction model for intraday futures and index returns," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 13(3), pages 245-263.
    40. Kawaller, Ira G & Koch, Paul D & Koch, Timothy W, 1987. "The Temporal Price Relationship between S&P 500 Futures and the S and P 500 Index," Journal of Finance, American Finance Association, vol. 42(5), pages 1309-1329, December.
    41. 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.
    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. Anthony F. Herbst & Joseph P. McCormack & Elizabeth N. West, 1987. "Investigation of a lead‐lag relationship between spot stock indices and their futures contracts," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 7(4), pages 373-381, August.
    44. Joel Hasbrouck, 2021. "Rejoinder on: Price Discovery in High Resolution," Journal of Financial Econometrics, Oxford University Press, vol. 19(3), pages 465-471.
    45. repec:bla:jfinan:v:59:y:2004:i:3:p:1235-1258 is not listed on IDEAS
    46. Kuck, Konstantin & Schweikert, Karsten, 2017. "A Markov regime-switching model of crude oil market integration," Journal of Commodity Markets, Elsevier, vol. 6(C), pages 16-31.
    47. Donald Lien & Zijun Wang, 2019. "Quantile information share," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 39(1), pages 38-55, January.
    48. Judge, Amrit & Reancharoen, Tipprapa, 2014. "An empirical examination of the lead–lag relationship between spot and futures markets: Evidence from Thailand," Pacific-Basin Finance Journal, Elsevier, vol. 29(C), pages 335-358.
    49. Flad, Michael & Jung, Robert C., 2008. "A common factor analysis for the US and the German stock markets during overlapping trading hours," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 18(5), pages 498-512, December.
    50. Frijns, Bart & Indriawan, Ivan & Tourani-Rad, Alireza, 2015. "Macroeconomic news announcements and price discovery: Evidence from Canadian–U.S. cross-listed firms," Journal of Empirical Finance, Elsevier, vol. 32(C), pages 35-48.
    51. Chan, Kalok, 1992. "A Further Analysis of the Lead-Lag Relationship between the Cash Market and Stock Index Futures Market," The Review of Financial Studies, Society for Financial Studies, vol. 5(1), pages 123-152.
    52. 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.
    53. M. Kessler & A. Rahbek, 2004. "Identification and Inference for Multivariate Cointegrated and Ergodic Gaussian Diffusions," Statistical Inference for Stochastic Processes, Springer, vol. 7(2), pages 137-151, May.
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    More about this item

    Keywords

    Cointegration; High-frequency; Markov-switching; Volatility; Index price formation;
    All these keywords.

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C58 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Financial Econometrics
    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading

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