IDEAS home Printed from https://ideas.repec.org/b/spr/mathfi/v16y2022i4d10.1007_s11579-022-00317-5.html
   My bibliography  Save this book

Learning about latent dynamic trading demand $$^*$$ ∗

Author

Listed:
  • Xiao Chen

    (Rutgers University)

  • Jin Hyuk Choi

    (Ulsan National Institute of Science and Technology (UNIST))

  • Kasper Larsen

    (Rutgers University)

  • Duane J. Seppi

    (Carnegie Mellon University)

Abstract

We present an equilibrium model of dynamic trading, learning, and pricing by strategic investors with trading targets and price impact. Since trading targets are private, investors filter the child order flow dynamically over time to estimate the latent underlying parent trading demand imbalance and to forecast its impact on subsequent price-pressure dynamics. We prove existence of an equilibrium and solve for equilibrium trading strategies and prices as the solution to a system of coupled ODEs. Trading strategies are combinations of trading towards investor targets, liquidity provision for other investors’ demands, and speculation based on learning about latent underlying trading-demand imbalances.

Suggested Citation

  • Xiao Chen & Jin Hyuk Choi & Kasper Larsen & Duane J. Seppi, 2022. "Learning about latent dynamic trading demand $$^*$$ ∗," Mathematics and Financial Economics, Springer, volume 16, number 1, October.
    • Handle: RePEc:spr:mathfi:v:16:y:2022:i:4:d:10.1007_s11579-022-00317-5
    DOI: 10.1007/s11579-022-00317-5
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11579-022-00317-5
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s11579-022-00317-5?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. Alexander Schied & Torsten Schöneborn, 2009. "Risk aversion and the dynamics of optimal liquidation strategies in illiquid markets," Finance and Stochastics, Springer, vol. 13(2), pages 181-204, April.
    2. Choi, Jin Hyuk & Larsen, Kasper & Seppi, Duane J., 2019. "Information and trading targets in a dynamic market equilibrium," Journal of Financial Economics, Elsevier, vol. 132(3), pages 22-49.
    3. repec:bla:jfinan:v:43:y:1988:i:3:p:617-37 is not listed on IDEAS
    4. Grossman, Sanford J & Stiglitz, Joseph E, 1980. "On the Impossibility of Informationally Efficient Markets," American Economic Review, American Economic Association, vol. 70(3), pages 393-408, June.
    5. Songzi Du & Haoxiang Zhu, 2017. "What is the Optimal Trading Frequency in Financial Markets?," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 84(4), pages 1606-1651.
    6. Foster, F. Douglas & Viswanathan, S., 1994. "Strategic Trading with Asymmetrically Informed Traders and Long-Lived Information," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 29(4), pages 499-518, December.
    7. Sannikov, Yuliy & Skrzypacz, Andrzej, 2016. "Dynamic Trading: Price Inertia and Front-Running," Research Papers 3487, Stanford University, Graduate School of Business.
    8. Grossman, S.J. & Miller, M.H., 1988. "Liquidity And Market Structure," Papers 88, Princeton, Department of Economics - Financial Research Center.
    9. Cuoco, Domenico & Cvitanic, Jaksa, 1998. "Optimal consumption choices for a 'large' investor," Journal of Economic Dynamics and Control, Elsevier, vol. 22(3), pages 401-436, March.
    10. Bruno Bouchard & Masaaki Fukasawa & Martin Herdegen & Johannes Muhle-Karbe, 2018. "Equilibrium returns with transaction costs," Finance and Stochastics, Springer, vol. 22(3), pages 569-601, July.
    11. Dimitri Vayanos, 1999. "Strategic Trading and Welfare in a Dynamic Market," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(2), pages 219-254.
    12. Hartzmark, Samuel M. & Solomon, David H., 2013. "The dividend month premium," Journal of Financial Economics, Elsevier, vol. 109(3), pages 640-660.
    13. Jacob Boudoukh & Roni Michaely & Matthew Richardson & Michael R. Roberts, 2007. "On the Importance of Measuring Payout Yield: Implications for Empirical Asset Pricing," Journal of Finance, American Finance Association, vol. 62(2), pages 877-915, April.
    14. Adem Atmaz & Suleyman Basak, 2022. "Stock Market and No‐Dividend Stocks," Journal of Finance, American Finance Association, vol. 77(1), pages 545-599, February.
    15. Kerry Back & C. Henry Cao & Gregory A. Willard, 2000. "Imperfect Competition among Informed Traders," Journal of Finance, American Finance Association, vol. 55(5), pages 2117-2155, October.
    16. Kyle, Albert S, 1985. "Continuous Auctions and Insider Trading," Econometrica, Econometric Society, vol. 53(6), pages 1315-1335, November.
    17. Robert Almgren, 2003. "Optimal execution with nonlinear impact functions and trading-enhanced risk," Applied Mathematical Finance, Taylor & Francis Journals, vol. 10(1), pages 1-18.
    18. Gârleanu, Nicolae & Pedersen, Lasse Heje, 2016. "Dynamic portfolio choice with frictions," Journal of Economic Theory, Elsevier, vol. 165(C), pages 487-516.
    19. Bruce Ian Carlin & Miguel Sousa Lobo & S. Viswanathan, 2007. "Episodic Liquidity Crises: Cooperative and Predatory Trading," Journal of Finance, American Finance Association, vol. 62(5), pages 2235-2274, October.
    20. Robert A Korajczyk & Dermot Murphy, 2019. "High-Frequency Market Making to Large Institutional Trades," The Review of Financial Studies, Society for Financial Studies, vol. 32(3), pages 1034-1067.
    21. Bruno Bouchard & Masaaki Fukasawa & Martin Herdegen & Johannes Muhle-Karbe, 2017. "Equilibrium Returns with Transaction Costs," Papers 1707.08464, arXiv.org, revised Apr 2018.
    22. Foster, F Douglas & Viswanathan, S, 1996. "Strategic Trading When Agents Forecast the Forecasts of Others," Journal of Finance, American Finance Association, vol. 51(4), pages 1437-1478, September.
    23. Bruno Bouchard & Masaaki Fukasawa & Martin Herdegen & Johannes Muhle-Karbe, 2018. "Equilibrium Returns with Transaction Costs," Post-Print hal-01569408, HAL.
    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. Puru Gupta & Saul D. Jacka, 2023. "Portfolio Choice In Dynamic Thin Markets: Merton Meets Cournot," Papers 2309.16047, arXiv.org.

    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. Xiao Chen & Jin Hyuk Choi & Kasper Larsen & Duane J. Seppi, 2021. "Learning about latent dynamic trading demand," Papers 2105.13401, arXiv.org, revised Aug 2021.
    2. Xiao Chen & Jin Hyuk Choi & Kasper Larsen & Duane J. Seppi, 2019. "Resolving asset pricing puzzles using price-impact," Papers 1910.02466, arXiv.org, revised Jun 2020.
    3. Xiao Chen & Jin Hyuk Choi & Kasper Larsen & Duane J. Seppi, 2023. "Price impact in Nash equilibria," Finance and Stochastics, Springer, vol. 27(2), pages 305-340, April.
    4. Jin Hyuk Choi & Heeyoung Kwon & Kasper Larsen, 2022. "Trading constraints in continuous-time Kyle models," Papers 2206.08117, arXiv.org.
    5. 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.
    6. Eunjung Noh & Kim Weston, 2020. "Price impact equilibrium with transaction costs and TWAP trading," Papers 2002.08286, arXiv.org.
    7. Martin Herdegen & Johannes Muhle-Karbe & Dylan Possamai, 2019. "Equilibrium Asset Pricing with Transaction Costs," Papers 1901.10989, arXiv.org, revised Sep 2020.
    8. Martin Herdegen & Johannes Muhle-Karbe & Dylan Possamaï, 2021. "Equilibrium asset pricing with transaction costs," Finance and Stochastics, Springer, vol. 25(2), pages 231-275, April.
    9. van Kervel, Vincent & Kwan, Amy & Westerholm, P. Joakim, 2023. "Order splitting and interacting with a counterparty," Journal of Financial Markets, Elsevier, vol. 66(C).
    10. Peter Bank & Ibrahim Ekren & Johannes Muhle‐Karbe, 2021. "Liquidity in competitive dealer markets," Mathematical Finance, Wiley Blackwell, vol. 31(3), pages 827-856, July.
    11. Jin Hyuk Choi & Kim Weston, 2021. "Endogenous noise trackers in a Radner equilibrium," Papers 2108.00973, arXiv.org, revised Jun 2022.
    12. Johannes Muhle-Karbe & Xiaofei Shi & Chen Yang, 2020. "An Equilibrium Model for the Cross-Section of Liquidity Premia," Papers 2011.13625, arXiv.org.
    13. Dimitri Vayanos & Jiang Wang, 2012. "Market Liquidity -- Theory and Empirical Evidence," NBER Working Papers 18251, National Bureau of Economic Research, Inc.
    14. Choi, Jin Hyuk & Larsen, Kasper & Seppi, Duane J., 2019. "Information and trading targets in a dynamic market equilibrium," Journal of Financial Economics, Elsevier, vol. 132(3), pages 22-49.
    15. Lukas Gonon & Johannes Muhle‐Karbe & Xiaofei Shi, 2021. "Asset pricing with general transaction costs: Theory and numerics," Mathematical Finance, Wiley Blackwell, vol. 31(2), pages 595-648, April.
    16. Lukas Gonon & Johannes Muhle-Karbe & Xiaofei Shi, 2019. "Asset Pricing with General Transaction Costs: Theory and Numerics," Papers 1905.05027, arXiv.org, revised Apr 2020.
    17. Xiaofei Shi & Daran Xu & Zhanhao Zhang, 2021. "Deep Learning Algorithms for Hedging with Frictions," Papers 2111.01931, arXiv.org, revised Dec 2022.
    18. Songzi Du & Haoxiang Zhu, 2014. "Welfare and Optimal Trading Frequency in Dynamic Double Auctions," NBER Working Papers 20588, National Bureau of Economic Research, Inc.
    19. Xiaofei Shi & Daran Xu & Zhanhao Zhang, 2023. "Deep learning algorithms for hedging with frictions," Digital Finance, Springer, vol. 5(1), pages 113-147, March.
    20. He, Hua & Wang, Jiang, 1995. "Differential Information and Dynamic Behavior of Stock Trading Volume," The Review of Financial Studies, Society for Financial Studies, vol. 8(4), pages 919-972.

    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:spr:mathfi:v:16:y:2022:i:4:d:10.1007_s11579-022-00317-5. 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://www.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.