IDEAS home Printed from https://ideas.repec.org/p/nbr/nberwo/13848.html
   My bibliography  Save this paper

Arbitrage-free Limit Order Books and the Pricing of Order Flow Risk

Author

Listed:
  • Bruce Lehmann

Abstract

This paper builds on the landmark contribution of Glosten (1994) by treating the determination of limit order supply schedules as an exercise in asset pricing theory with the possible sizes of incoming market orders as the value-relevant states of nature, yielding an analogue of the Fundamental Theorem of Asset Pricing. State prices and price impact prove to be proportional to the slope of the book and simple nonparametric and semiparametric models for limit order book dynamics arise when the price of order flow risk is constant over time, providing a comprehensive and coherent framework for organizing limit order book data.

Suggested Citation

  • Bruce Lehmann, 2008. "Arbitrage-free Limit Order Books and the Pricing of Order Flow Risk," NBER Working Papers 13848, National Bureau of Economic Research, Inc.
    • Handle: RePEc:nbr:nberwo:13848
    Note: AP
    as

    Download full text from publisher

    File URL: http://www.nber.org/papers/w13848.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Burton Hollifield & Robert A. Miller & Patrik Sandås, 2004. "Empirical Analysis of Limit Order Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(4), pages 1027-1063.
    2. 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.
    3. Hasbrouck, Joel, 1991. "Measuring the Information Content of Stock Trades," Journal of Finance, American Finance Association, vol. 46(1), pages 179-207, March.
    4. de Jong, F.C.J.M. & Nijman, T.E. & Röell, A.A., 1996. "Price effects of trading and components of the bid-ask spread on the Paris Bourse," Other publications TiSEM 08f5fa19-14b7-4bc8-ba07-1, Tilburg University, School of Economics and Management.
    5. Large, Jeremy, 2009. "A market-clearing role for inefficiency on a limit order book," Journal of Financial Economics, Elsevier, vol. 91(1), pages 102-117, January.
    6. Foucault, Thierry, 1999. "Order flow composition and trading costs in a dynamic limit order market1," Journal of Financial Markets, Elsevier, vol. 2(2), pages 99-134, May.
    7. 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.
    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. Easley, David & Kiefer, Nicholas M & O'Hara, Maureen, 1997. "One Day in the Life of a Very Common Stock," The Review of Financial Studies, Society for Financial Studies, vol. 10(3), pages 805-835.
    10. Gur Huberman & Werner Stanzl, 2004. "Price Manipulation and Quasi-Arbitrage," Econometrica, Econometric Society, vol. 72(4), pages 1247-1275, July.
    11. Breeden, Douglas T & Litzenberger, Robert H, 1978. "Prices of State-contingent Claims Implicit in Option Prices," The Journal of Business, University of Chicago Press, vol. 51(4), pages 621-651, October.
    12. Obizhaeva, Anna A. & Wang, Jiang, 2013. "Optimal trading strategy and supply/demand dynamics," Journal of Financial Markets, Elsevier, vol. 16(1), pages 1-32.
    13. Kerry Back & Shmuel Baruch, 2004. "Information in Securities Markets: Kyle Meets Glosten and Milgrom," Econometrica, Econometric Society, vol. 72(2), pages 433-465, March.
    14. Stephen A. Ross, 1976. "Options and Efficiency," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 90(1), pages 75-89.
    15. Hausman, Jerry A. & Lo, Andrew W. & MacKinlay, A. Craig, 1992. "An ordered probit analysis of transaction stock prices," Journal of Financial Economics, Elsevier, vol. 31(3), pages 319-379, June.
    16. Cheng-Few Lee (ed.), 2006. "Advances in Quantitative Analysis of Finance and Accounting," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 6235, August.
    17. Kempf, Alexander & Korn, Olaf, 1999. "Market depth and order size1," Journal of Financial Markets, Elsevier, vol. 2(1), pages 29-48, February.
    18. 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.
    19. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    20. Jeremy Large, 2006. "A Market-Clearing Role for Inefficiency on a Limit Order Book," Economics Series Working Papers 2006-W08, University of Oxford, Department of Economics.
    21. Hollifield, Burton & Sandås, Patrik & Miller, Robert A. & Slive, Joshua, 2002. "Liquidity Supply and Demand in Limit Order Markets," CEPR Discussion Papers 3676, C.E.P.R. Discussion Papers.
    22. Li, Qi, et al, 2002. "Semiparametric Smooth Coefficient Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(3), pages 412-422, July.
    23. de Jong, Frank & Nijman, Theo & Roell, Ailsa, 1996. "Price effects of trading and components of the bid-ask spread on the Paris Bourse," Journal of Empirical Finance, Elsevier, vol. 3(2), pages 193-213, June.
    24. Banz, Rolf W & Miller, Merton H, 1978. "Prices for State-contingent Claims: Some Estimates and Applications," The Journal of Business, University of Chicago Press, vol. 51(4), pages 653-672, October.
    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. Rossen Trendafilov & Erick W Rengifo, 2012. "Regime Identification in Limit Order Books," Fordham Economics Discussion Paper Series dp2012_04, Fordham University, Department of Economics.
    2. Ole E. Barndorff-Nielsen & David G. Pollard & Neil Shephard, 2012. "Integer-valued L�vy processes and low latency financial econometrics," Quantitative Finance, Taylor & Francis Journals, vol. 12(4), pages 587-605, January.

    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. 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.
    2. 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.
    3. G. Wuyts, 2007. "Stock Market Liquidity.Determinants and Implications," Review of Business and Economic Literature, KU Leuven, Faculty of Economics and Business (FEB), Review of Business and Economic Literature, vol. 0(2), pages 279-316.
    4. Biais, Bruno & Glosten, Larry & Spatt, Chester, 2005. "Market microstructure: A survey of microfoundations, empirical results, and policy implications," Journal of Financial Markets, Elsevier, vol. 8(2), pages 217-264, May.
    5. Bogdan Negrea, 2011. "How to Compute the Liquidity Cost in the Orders-Driven Market?," The Review of Finance and Banking, Academia de Studii Economice din Bucuresti, Romania / Facultatea de Finante, Asigurari, Banci si Burse de Valori / Catedra de Finante, vol. 3(1), pages 007-019, June.
    6. Dimitri Vayanos & Jiang Wang, 2012. "Market Liquidity -- Theory and Empirical Evidence," NBER Working Papers 18251, National Bureau of Economic Research, Inc.
    7. Ahn, Hee-Joon & Cai, Jun & Hamao, Yasushi & Ho, Richard Y. K., 2002. "The components of the bid-ask spread in a limit-order market: evidence from the Tokyo Stock Exchange," Journal of Empirical Finance, Elsevier, vol. 9(4), pages 399-430, November.
    8. Vayanos, Dimitri & Wang, Jiang, 2013. "Market Liquidity—Theory and Empirical Evidence ," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, volume 2, chapter 0, pages 1289-1361, Elsevier.
    9. Jeremy Large, 2004. "Cancellation and uncertainty aversion on limit order books," OFRC Working Papers Series 2004fe04, Oxford Financial Research Centre.
    10. Georges Dionne & Xiaozhou Zhou, 2020. "The dynamics of ex-ante weighted spread: an empirical analysis," Quantitative Finance, Taylor & Francis Journals, vol. 20(4), pages 593-617, April.
    11. Ioanid Rosu, 2009. "A Dynamic Model of the Limit Order Book," Post-Print hal-00515873, HAL.
    12. Markus Baldauf & Joshua Mollner, 2020. "High‐Frequency Trading and Market Performance," Journal of Finance, American Finance Association, vol. 75(3), pages 1495-1526, June.
    13. Ioanid Rosu, 2009. "A Dynamic Model of the Limit Order Book," The Review of Financial Studies, Society for Financial Studies, vol. 22(11), pages 4601-4641, November.
    14. Angelo Ranaldo, 2002. "Market Dynamics Around Public Information Arrivals," FAME Research Paper Series rp45, International Center for Financial Asset Management and Engineering.
    15. Ningyuan Chen & Steven Kou & Chun Wang, 2018. "A Partitioning Algorithm for Markov Decision Processes with Applications to Market Microstructure," Management Science, INFORMS, vol. 64(2), pages 784-803, February.
    16. Danny Lo, 2015. "Essays in Market Microstructure and Investor Trading," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 4-2015, January-A.
    17. PASCUAL, Roberto & VEREDAS, David, 2006. "Does the open limit order book matter in explaining long run volatility ?," LIDAM Discussion Papers CORE 2006110, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    18. Obizhaeva, Anna A. & Wang, Jiang, 2013. "Optimal trading strategy and supply/demand dynamics," Journal of Financial Markets, Elsevier, vol. 16(1), pages 1-32.
    19. Adrian Buss & Bernard Dumas, 2019. "The Dynamic Properties of Financial‐Market Equilibrium with Trading Fees," Journal of Finance, American Finance Association, vol. 74(2), pages 795-844, April.
    20. Ozsoylev, Han N. & Takayama, Shino, 2010. "Price, trade size, and information revelation in multi-period securities markets," Journal of Financial Markets, Elsevier, vol. 13(1), pages 49-76, February.

    More about this item

    JEL classification:

    • G1 - Financial Economics - - General Financial Markets
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:nbr:nberwo:13848. 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: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/nberrus.html .

    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.