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Optimal Tick Size

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  • Giuliano Graziani
  • Barbara Rindi

Abstract

We consider a model of a limit order book and determine the optimal tick size set by a social planner who maximizes the welfare of market participants. In a 2-period model where only two agents arrive sequentially, the tick size is a friction that constrains investors to use discrete price grids, and as a consequence the optimal tick size is equal to zero. However, in a model with sequential arrival of more than two investors who can endogenously either take liquidity or supply liquidity by undercutting or queuing behind existing orders, the tick size is positive: it is a strategic tool a social planner uses to optimally affect the choice made by investors between liquidity demand and supply. In addition, the optimal tick size is a function both of the value of the asset and of trading volume. The policy implication of such findings is that the European tick size regime and the “Intelligent Ticks” Nasdaq proposal dominate Reg. NMS Rule 612 that formalizes the tick size regime for the U.S. markets. Using data from the U.S. and the European markets we test our model’s empirical predictions. Keywords: Limit Order Book, Tick Size, Social Planner, Undercutting, Queuing.

Suggested Citation

  • Giuliano Graziani & Barbara Rindi, 2023. "Optimal Tick Size," Working Papers 688, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    • Handle: RePEc:igi:igierp:688
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    References listed on IDEAS

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    1. Thierry Foucault & Ohad Kadan & Eugene Kandel, 2005. "Limit Order Book as a Market for Liquidity," The Review of Financial Studies, Society for Financial Studies, vol. 18(4), pages 1171-1217.
    2. Bacidore, Jeffrey M., 1997. "The Impact of Decimalization on Market Quality: An Empirical Investigation of the Toronto Stock Exchange," Journal of Financial Intermediation, Elsevier, vol. 6(2), pages 92-120, April.
    3. Anshuman, V Ravi & Kalay, Avner, 1998. "Market Making with Discrete Prices," The Review of Financial Studies, Society for Financial Studies, vol. 11(1), pages 81-109.
    4. Angel, James J, 1997. "Tick Size, Share Prices, and Stock Splits," Journal of Finance, American Finance Association, vol. 52(2), pages 655-681, June.
    5. Glosten, Lawrence R. & Milgrom, Paul R., 1985. "Bid, ask and transaction prices in a specialist market with heterogeneously informed traders," Journal of Financial Economics, Elsevier, vol. 14(1), pages 71-100, March.
    6. Matteo Aquilina & Eric Budish & Peter O’Neill, 2022. "Quantifying the High-Frequency Trading “Arms Race”," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 137(1), pages 493-564.
    7. Kandel, Eugene & Marx, Leslie M., 1997. "Nasdaq market structure and spread patterns," Journal of Financial Economics, Elsevier, vol. 45(1), pages 61-89, July.
    8. 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.
    9. Harris, Lawrence E, 1994. "Minimum Price Variations, Discrete Bid-Ask Spreads, and Quotation Sizes," The Review of Financial Studies, Society for Financial Studies, vol. 7(1), pages 149-178.
    10. Li, Sida & Wang, Xin & Ye, Mao, 2021. "Who provides liquidity, and when?," Journal of Financial Economics, Elsevier, vol. 141(3), pages 968-980.
    11. Bessembinder, Hendrik, 2000. "Tick Size, Spreads, and Liquidity: An Analysis of Nasdaq Securities Trading near Ten Dollars," Journal of Financial Intermediation, Elsevier, vol. 9(3), pages 213-239, July.
    12. Chakrabarty, Bidisha & Cox, Justin & Upson, James E., 2022. "Tick Size Pilot Program and price discovery in U.S. stock markets," Journal of Financial Markets, Elsevier, vol. 59(PB).
    13. 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.
    14. Roberto Riccó & Barbara Rindi & Duane J. Seppi, 2021. "Optimal Market Asset Pricing," Working Papers 675, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    15. Cordella, Tito & Foucault, Thierry, 1999. "Minimum Price Variations, Time Priority, and Quote Dynamics," Journal of Financial Intermediation, Elsevier, vol. 8(3), pages 141-173, July.
    16. Burton Hollifield & Robert A. Miller & Patrik Sandås & Joshua Slive, 2006. "Estimating the Gains from Trade in Limit‐Order Markets," Journal of Finance, American Finance Association, vol. 61(6), pages 2753-2804, December.
    17. Goldstein, Michael A. & A. Kavajecz, Kenneth, 2000. "Eighths, sixteenths, and market depth: changes in tick size and liquidity provision on the NYSE," Journal of Financial Economics, Elsevier, vol. 56(1), pages 125-149, April.
    18. Maureen O’Hara & Gideon Saar & Zhuo Zhong, 2019. "Relative Tick Size and the Trading Environment," The Review of Asset Pricing Studies, Society for Financial Studies, vol. 9(1), pages 47-90.
    19. Bessembinder, Hendrik, 2003. "Trade Execution Costs and Market Quality after Decimalization," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 38(4), pages 747-777, December.
    20. Pakes, Ariel & McGuire, Paul, 2001. "Stochastic Algorithms, Symmetric Markov Perfect Equilibrium, and the 'Curse' of Dimensionality," Econometrica, Econometric Society, vol. 69(5), pages 1261-1281, September.
    21. Parlour, Christine A, 1998. "Price Dynamics in Limit Order Markets," The Review of Financial Studies, Society for Financial Studies, vol. 11(4), pages 789-816.
    22. Chordia, Tarun & Subrahmanyam, Avanidhar, 1995. "Market Making, the Tick Size, and Payment-for-Order Flow: Theory and Evidence," The Journal of Business, University of Chicago Press, vol. 68(4), pages 543-575, October.
    23. Bruno Biais & Thierry Foucault, 2014. "HFT and Market Quality," Bankers, Markets & Investors, ESKA Publishing, issue 128, pages 5-19, January-F.
    24. Chung, Kee H. & Chuwonganant, Chairat & McCormick, D. Timothy, 2004. "Order preferencing and market quality on NASDAQ before and after decimalization," Journal of Financial Economics, Elsevier, vol. 71(3), pages 581-612, March.
    25. Eric Budish & Peter Cramton & John Shim, 2015. "Editor's Choice The High-Frequency Trading Arms Race: Frequent Batch Auctions as a Market Design Response," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 130(4), pages 1547-1621.
    26. Harris, Lawrence, 1991. "Stock Price Clustering and Discreteness," The Review of Financial Studies, Society for Financial Studies, vol. 4(3), pages 389-415.
    27. Comerton-Forde, Carole & Grégoire, Vincent & Zhong, Zhuo, 2019. "Inverted fee structures, tick size, and market quality," Journal of Financial Economics, Elsevier, vol. 134(1), pages 141-164.
    28. Ronald L. Goettler & Christine A. Parlour & Uday Rajan, 2005. "Equilibrium in a Dynamic Limit Order Market," Journal of Finance, American Finance Association, vol. 60(5), pages 2149-2192, October.
    29. Chung, Kee H. & Lee, Albert J. & Rösch, Dominik, 2020. "Tick size, liquidity for small and large orders, and price informativeness: Evidence from the Tick Size Pilot Program," Journal of Financial Economics, Elsevier, vol. 136(3), pages 879-899.
    30. Albuquerque, Rui & Song, Shiyun & Yao, Chen, 2020. "The price effects of liquidity shocks: A study of the SEC’s tick size experiment," Journal of Financial Economics, Elsevier, vol. 138(3), pages 700-724.
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    Keywords

    limit order book; tick size; social planner; undercutting; queuing.;
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