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Price Discovery in Agricultural Futures Markets: Should We Look beyond the Best Bid-Ask Spread?

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  • Mehdi Arzandeh
  • Julieta Frank

Abstract

Price discovery is the incorporation of information to prices through the actions of traders. Previous studies in financial markets have found evidence that informed traders may submit limit orders instead of market orders as part of their trading strategies. If so, the steps of limit order book (LOB) beyond the best bid and best ask spread (BAS) may contain valuable information and contribute to price discovery of the underlying asset. This is the first attempt to examine the informativeness of the LOB beyond the BAS for agricultural commodities. We reconstruct the LOB using market depth data and use three information share approaches to test to what extent the steps of LOB beyond the BAS contribute to price discovery. This is done for five major agricultural commodities, namely live cattle, lean hogs, corn, wheat, and soybeans, as well as the E-mini Standard and Poor's 500 Index (S&P 500) futures contracts. The results show that the steps of the LOB beyond the BAS contribute by over 27% to price discovery of futures contracts. Across agricultural commodities, the steps of the LOB beyond the BAS have more information for grains than meats. Moreover, beyond the BAS, the steps closer to the top of the book contain more information for livestock and E-mini S&P 500. For grains, the steps farther from the BAS are as informative as the steps closer to the BAS. These findings suggest that informed traders in futures electronic markets actively use limit orders with price steps beyond the BAS.

Suggested Citation

  • 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.
  • Handle: RePEc:oup:ajagec:v:101:y:2019:i:5:p:1482-1498.
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    as
    1. Irwin, Scott H. & Sanders, Dwight R., 2012. "Financialization and Structural Change in Commodity Futures Markets," Journal of Agricultural and Applied Economics, Cambridge University Press, vol. 44(3), pages 371-396, August.
    2. Hasbrouck, Joel, 1991. "Measuring the Information Content of Stock Trades," Journal of Finance, American Finance Association, vol. 46(1), pages 179-207, March.
    3. 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.
    4. Chen, Haiqiang & Choi, Paul Moon Sub & Hong, Yongmiao, 2013. "How smooth is price discovery? Evidence from cross-listed stock trading," Journal of International Money and Finance, Elsevier, vol. 32(C), pages 668-699.
    5. Martin D. Gould & Mason A. Porter & Stacy Williams & Mark McDonald & Daniel J. Fenn & Sam D. Howison, 2013. "Limit order books," Quantitative Finance, Taylor & Francis Journals, vol. 13(11), pages 1709-1742, November.
    6. Fricke, Christoph & Menkhoff, Lukas, 2011. "Does the "Bund" dominate price discovery in Euro bond futures? Examining information shares," Journal of Banking & Finance, Elsevier, vol. 35(5), pages 1057-1072, May.
    7. Bloomfield, Robert & O'Hara, Maureen & Saar, Gideon, 2005. "The "make or take" decision in an electronic market: Evidence on the evolution of liquidity," Journal of Financial Economics, Elsevier, vol. 75(1), pages 165-199, January.
    8. de Jong, Frank, 2002. "Measures of contributions to price discovery: a comparison," Journal of Financial Markets, Elsevier, vol. 5(3), pages 323-327, July.
    9. Gonzalo, Jesus & Pitarakis, Jean-Yves, 1998. "Specification via model selection in vector error correction models," Economics Letters, Elsevier, vol. 60(3), pages 321-328, September.
    10. Biais, Bruno & Foucault, Thierry & Moinas, Sophie, 2015. "Equilibrium fast trading," Journal of Financial Economics, Elsevier, vol. 116(2), pages 292-313.
    11. Vo, Minh T., 2007. "Limit orders and the intraday behavior of market liquidity: Evidence from the Toronto stock exchange," Global Finance Journal, Elsevier, vol. 17(3), pages 379-396, March.
    12. Glosten, Lawrence R, 1994. "Is the Electronic Open Limit Order Book Inevitable?," Journal of Finance, American Finance Association, vol. 49(4), pages 1127-1161, September.
    13. Narayan, Seema & Smyth, Russell, 2015. "The financial econometrics of price discovery and predictability," International Review of Financial Analysis, Elsevier, vol. 42(C), pages 380-393.
    14. 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.
    15. Anand, Amber & Gatchev, Vladimir A. & Madureira, Leonardo & Pirinsky, Christo A. & Underwood, Shane, 2011. "Geographic proximity and price discovery: Evidence from NASDAQ," Journal of Financial Markets, Elsevier, vol. 14(2), pages 193-226, May.
    16. 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.
    17. Beveridge, Stephen & Nelson, Charles R., 1981. "A new approach to decomposition of economic time series into permanent and transitory components with particular attention to measurement of the `business cycle'," Journal of Monetary Economics, Elsevier, vol. 7(2), pages 151-174.
    18. 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.
    19. Harris, Lawrence E. & Panchapagesan, Venkatesh, 2005. "The information content of the limit order book: evidence from NYSE specialist trading decisions," Journal of Financial Markets, Elsevier, vol. 8(1), pages 25-67, February.
    20. G. Geoffrey Booth & Ji-Chai Lin & Teppo Martikainen & Yiuman Tse, 2002. "Trading and Pricing in Upstairs and Downstairs Stock Markets," The Review of Financial Studies, Society for Financial Studies, vol. 15(4), pages 1111-1135.
    21. Robert F. Engle & Jeffrey R. Russell, 1998. "Autoregressive Conditional Duration: A New Model for Irregularly Spaced Transaction Data," Econometrica, Econometric Society, vol. 66(5), pages 1127-1162, September.
    22. Martin D. Gould & Mason A. Porter & Stacy Williams & Mark McDonald & Daniel J. Fenn & Sam D. Howison, 2010. "Limit Order Books," Papers 1012.0349, arXiv.org, revised Apr 2013.
    23. Arnade, Carlos & Hoffman, Linwood, 2015. "The Impact Of Price Variability On Cash/Futures Market Relationships: Implications For Market Efficiency And Price Discovery," Journal of Agricultural and Applied Economics, Cambridge University Press, vol. 47(4), pages 539-559, November.
    24. Xiaoyang Wang & Philip Garcia & Scott H. Irwin, 2014. "The Behavior of Bid-Ask Spreads in the Electronically-Traded Corn Futures Market," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 96(2), pages 557-577.
    25. Charles Cao & Oliver Hansch & Xiaoxin Wang, 2009. "The information content of an open limit‐order book," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 29(1), pages 16-41, January.
    26. Putniņš, Tālis J., 2013. "What do price discovery metrics really measure?," Journal of Empirical Finance, Elsevier, vol. 23(C), pages 68-83.
    27. 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.
    28. Hautsch, Nikolaus & Huang, Ruihong, 2012. "The market impact of a limit order," Journal of Economic Dynamics and Control, Elsevier, vol. 36(4), pages 501-522.
    29. Roger D. Huang, 2002. "The Quality of ECN and Nasdaq Market Maker Quotes," Journal of Finance, American Finance Association, vol. 57(3), pages 1285-1319, June.
    30. Ron Kaniel & Hong Liu, 2006. "So What Orders Do Informed Traders Use?," The Journal of Business, University of Chicago Press, vol. 79(4), pages 1867-1914, July.
    31. Yan, Bingcheng & Zivot, Eric, 2010. "A structural analysis of price discovery measures," Journal of Financial Markets, Elsevier, vol. 13(1), pages 1-19, February.
    32. 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.
    33. B. Wade Brorsen, 1989. "Liquidity costs and scalping returns in the corn futures market," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 9(3), pages 225-236, June.
    34. Julieta Frank & Philip Garcia, 2010. "Bid-Ask Spreads, Volume, and Volatility: Evidence from Livestock Markets," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 93(1), pages 209-225.
    35. Korczak, Piotr & Phylaktis, Kate, 2010. "Related securities and price discovery: Evidence from NYSE-listed Non-U.S. stocks," Journal of Empirical Finance, Elsevier, vol. 17(4), pages 566-584, September.
    36. 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.
    37. Chen, Haiqiang & Choi, Paul Moon Sub, 2012. "Does information vault Niagara Falls? Cross-listed trading in New York and Toronto," Journal of Empirical Finance, Elsevier, vol. 19(2), pages 175-199.
    38. Martinez, Valeria & Gupta, Paramita & Tse, Yiuman & Kittiakarasakun, Jullavut, 2011. "Electronic versus open outcry trading in agricultural commodities futures markets," Review of Financial Economics, Elsevier, vol. 20(1), pages 28-36, January.
    39. Liu, Qingfu & An, Yunbi, 2011. "Information transmission in informationally linked markets: Evidence from US and Chinese commodity futures markets," Journal of International Money and Finance, Elsevier, vol. 30(5), pages 778-795, September.
    40. Hasbrouck, Joel, 2004. "Liquidity in the Futures Pits: Inferring Market Dynamics from Incomplete Data," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 39(2), pages 305-326, June.
    41. Tse, Yiuman, 1999. "Round-the-clock market efficiency and home bias: Evidence from the international Japanese government bonds futures markets," Journal of Banking & Finance, Elsevier, vol. 23(12), pages 1831-1860, December.
    42. Rama Cont & Arseniy Kukanov & Sasha Stoikov, 2014. "The Price Impact of Order Book Events," Journal of Financial Econometrics, Oxford University Press, vol. 12(1), pages 47-88.
    43. repec:uts:ppaper:2013:2 is not listed on IDEAS
    44. Frijns, Bart & Gilbert, Aaron & Tourani-Rad, Alireza, 2010. "The dynamics of price discovery for cross-listed shares: Evidence from Australia and New Zealand," Journal of Banking & Finance, Elsevier, vol. 34(3), pages 498-508, March.
    45. Lo, Danny K. & Hall, Anthony D., 2015. "Resiliency of the limit order book," Journal of Economic Dynamics and Control, Elsevier, vol. 61(C), pages 222-244.
    46. Alex Frino & Andrew Lepone & Grant Wearin, 2008. "Intraday behavior of market depth in a competitive dealer market: A note," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 28(3), pages 294-307, March.
    47. Joseph P. Janzen & Michael K. Adjemian, 2017. "Estimating the Location of World Wheat Price Discovery," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 99(5), pages 1188-1207.
    48. Rittler, Daniel, 2012. "Price discovery and volatility spillovers in the European Union emissions trading scheme: A high-frequency analysis," Journal of Banking & Finance, Elsevier, vol. 36(3), pages 774-785.
    49. Wei‐Peng Chen & Huimin Chung, 2012. "Has the introduction of S&P 500 ETF options LED to improvements in price discovery of SPDRs?," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 32(7), pages 683-711, July.
    50. Georg V. Lehecka & Xiaoyang Wang & Philip Garcia, 2014. "Gone in Ten Minutes: Intraday Evidence of Announcement Effects in the Electronic Corn Futures Market," Applied Economic Perspectives and Policy, Agricultural and Applied Economics Association, vol. 36(3), pages 504-526.
    51. Henry Bryant & Michael Haigh, 2004. "Bid-ask spreads in commodity futures markets," Applied Financial Economics, Taylor & Francis Journals, vol. 14(13), pages 923-936.
    52. Anand, Amber & Subrahmanyam, Avanidhar, 2008. "Information and the Intermediary: Are Market Intermediaries Informed Traders in Electronic Markets?," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 43(1), pages 1-28, March.
    53. 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.
    54. 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.
    55. Madhavan, Ananth & Porter, David & Weaver, Daniel, 2005. "Should securities markets be transparent?," Journal of Financial Markets, Elsevier, vol. 8(3), pages 265-287, August.
    56. Ekkehart Boehmer & Gideon Saar & Lei Yu, 2005. "Lifting the Veil: An Analysis of Pre‐trade Transparency at the NYSE," Journal of Finance, American Finance Association, vol. 60(2), pages 783-815, April.
    57. Seppi, Duane J, 1997. "Liquidity Provision with Limit Orders and a Strategic Specialist," The Review of Financial Studies, Society for Financial Studies, vol. 10(1), pages 103-150.
    58. repec:wyi:journl:002160 is not listed on IDEAS
    59. Zoltán Eisler & Jean-Philippe Bouchaud & Julien Kockelkoren, 2012. "The price impact of order book events: market orders, limit orders and cancellations," Quantitative Finance, Taylor & Francis Journals, vol. 12(9), pages 1395-1419, September.
    60. Hasbrouck, Joel, 2002. "Stalking the "efficient price" in market microstructure specifications: an overview," Journal of Financial Markets, Elsevier, vol. 5(3), pages 329-339, July.
    61. 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.
    62. Shmuel Baruch, 2005. "Who Benefits from an Open Limit-Order Book?," The Journal of Business, University of Chicago Press, vol. 78(4), pages 1267-1306, July.
    63. Aznar, Antonio & Salvador, Manuel, 2002. "Selecting The Rank Of The Cointegration Space And The Form Of The Intercept Using An Information Criterion," Econometric Theory, Cambridge University Press, vol. 18(4), pages 926-947, August.
    64. Shah, Samarth & Brorsen, B. Wade, 2011. "Electronic vs. Open Outcry: Side-by-Side Trading of KCBT Wheat Futures," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 36(1), pages 1-15, April.
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