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Optimal Trade Execution Under Geometric Brownian Motion In The Almgren And Chriss Framework

Citations

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Cited by:

  1. Olivier Gu'eant, 2012. "Optimal execution and block trade pricing: a general framework," Papers 1210.6372, arXiv.org, revised Dec 2014.
  2. Leonid Dolinskyi & Yan Dolinsky, 2023. "Optimal Liquidation with High Risk Aversion and Small Linear Price Impact," Papers 2301.01555, arXiv.org, revised Nov 2023.
  3. Paulwin Graewe & Ulrich Horst, 2016. "Optimal Trade Execution with Instantaneous Price Impact and Stochastic Resilience," Papers 1611.03435, arXiv.org, revised Jul 2017.
  4. Felix Dammann & Giorgio Ferrari, 2023. "Optimal execution with multiplicative price impact and incomplete information on the return," Finance and Stochastics, Springer, vol. 27(3), pages 713-768, July.
  5. Eyal Neuman & Alexander Schied, 2018. "Protecting Pegged Currency Markets from Speculative Investors," Papers 1801.07784, arXiv.org, revised Feb 2021.
  6. Claudio Bellani & Damiano Brigo & Alex Done & Eyal Neuman, 2018. "Static vs Adaptive Strategies for Optimal Execution with Signals," Papers 1811.11265, arXiv.org, revised Jul 2019.
  7. Florian Klock & Alexander Schied & Yuemeng Sun, 2012. "Price manipulation in a market impact model with dark pool," Papers 1205.4008, arXiv.org, revised May 2014.
  8. Xiaoyue Li & John M. Mulvey, 2023. "Optimal Portfolio Execution in a Regime-switching Market with Non-linear Impact Costs: Combining Dynamic Program and Neural Network," Papers 2306.08809, arXiv.org.
  9. Olivier Guéant & Charles-Albert Lehalle, 2015. "General Intensity Shapes In Optimal Liquidation," Mathematical Finance, Wiley Blackwell, vol. 25(3), pages 457-495, July.
  10. Roman Gayduk & Sergey Nadtochiy, 2015. "Liquidity Effects of Trading Frequency," Papers 1508.07914, arXiv.org, revised May 2017.
  11. Riccardo Cesari & Massimiliano Marzo & Paolo Zagaglia, 2012. "Effective Trade Execution," Papers 1206.5324, arXiv.org.
  12. Claudio Bellani & Damiano Brigo, 2021. "Mechanics of good trade execution in the framework of linear temporary market impact," Quantitative Finance, Taylor & Francis Journals, vol. 21(1), pages 143-163, January.
  13. Anastasis Kratsios & Cody Hyndman, 2023. "Generative Ornstein-Uhlenbeck Markets via Geometric Deep Learning," Papers 2302.09176, arXiv.org.
  14. Theodoros M. Diasakos, 2011. "A Simple Characterization of Dynamic Completeness in Continuous Time," Carlo Alberto Notebooks 211, Collegio Carlo Alberto.
  15. Kashyap, Ravi, 2020. "David vs Goliath (You against the Markets), A dynamic programming approach to separate the impact and timing of trading costs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
  16. Wang, Bin & Wang, Jun, 2021. "Energy futures price prediction and evaluation model with deep bidirectional gated recurrent unit neural network and RIF-based algorithm," Energy, Elsevier, vol. 216(C).
  17. 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.
  18. Lokka, A. & Xu, Junwei, 2020. "Optimal liquidation trajectories for the Almgren-Chriss model," LSE Research Online Documents on Economics 106977, London School of Economics and Political Science, LSE Library.
  19. Fengpei Li & Vitalii Ihnatiuk & Ryan Kinnear & Anderson Schneider & Yuriy Nevmyvaka, 2022. "Do price trajectory data increase the efficiency of market impact estimation?," Papers 2205.13423, arXiv.org, revised Mar 2023.
  20. Graewe, Paulwin & Horst, Ulrich & Séré, Eric, 2018. "Smooth solutions to portfolio liquidation problems under price-sensitive market impact," Stochastic Processes and their Applications, Elsevier, vol. 128(3), pages 979-1006.
  21. Horst, Ulrich & Xia, Xiaonyu & Zhou, Chao, 2021. "Portfolio Liquidation under Factor Uncertainty," Rationality and Competition Discussion Paper Series 274, CRC TRR 190 Rationality and Competition.
  22. Damiano Brigo & Clement Piat, 2016. "Static vs adapted optimal execution strategies in two benchmark trading models," Papers 1609.05523, arXiv.org.
  23. Virgil DAMIAN, 2015. "Modelling optimal execution strategies for Algorithmic trading," Theoretical and Applied Economics, Asociatia Generala a Economistilor din Romania / Editura Economica, vol. 0(4(605), W), pages 99-104, Winter.
  24. Christopher Lorenz & Alexander Schied, 2013. "Drift dependence of optimal trade execution strategies under transient price impact," Finance and Stochastics, Springer, vol. 17(4), pages 743-770, October.
  25. Graewe, Paulwin & Popier, Alexandre, 2021. "Asymptotic approach for backward stochastic differential equation with singular terminal condition," Stochastic Processes and their Applications, Elsevier, vol. 133(C), pages 247-277.
  26. Simon Clinet & Jean-Franc{c}ois Perreton & Serge Reydellet, 2021. "Optimal trading: a model predictive control approach," Papers 2110.11008, arXiv.org, revised Nov 2021.
  27. Ben Hambly & Renyuan Xu & Huining Yang, 2020. "Policy Gradient Methods for the Noisy Linear Quadratic Regulator over a Finite Horizon," Papers 2011.10300, arXiv.org, revised Jun 2021.
  28. Yan Dolinsky & Doron Greenstein, 2024. "A Note on Optimal Liquidation with Linear Price Impact," Papers 2402.14100, arXiv.org, revised Aug 2024.
  29. Gârleanu, Nicolae & Pedersen, Lasse Heje, 2016. "Dynamic portfolio choice with frictions," Journal of Economic Theory, Elsevier, vol. 165(C), pages 487-516.
  30. Ulrich Horst & Xiaonyu Xia, 2019. "Multi-dimensional optimal trade execution under stochastic resilience," Finance and Stochastics, Springer, vol. 23(4), pages 889-923, October.
  31. Fu, Guanxing & Horst, Ulrich & Xia, Xiaonyu, 2022. "Portfolio Liquidation Games with Self-Exciting Order Flow," Rationality and Competition Discussion Paper Series 327, CRC TRR 190 Rationality and Competition.
  32. Ulrich Horst & Evgueni Kivman, 2024. "Optimal trade execution under small market impact and portfolio liquidation with semimartingale strategies," Finance and Stochastics, Springer, vol. 28(3), pages 759-812, July.
  33. repec:agr:journl:v:4(605):y:2015:i:4(605):p:99-104 is not listed on IDEAS
  34. Jin Hyuk Choi & Kasper Larsen & Duane J. Seppi, 2015. "Information and Trading Targets in a Dynamic Market Equilibrium," Papers 1502.02083, arXiv.org, revised Sep 2015.
  35. Seungki Min & Ciamac C. Moallemi & Costis Maglaras, 2022. "Risk-Sensitive Optimal Execution via a Conditional Value-at-Risk Objective," Papers 2201.11962, arXiv.org.
  36. Paulwin Graewe & Ulrich Horst & Jinniao Qiu, 2013. "A Non-Markovian Liquidation Problem and Backward SPDEs with Singular Terminal Conditions," Papers 1309.0461, arXiv.org, revised Jan 2015.
  37. Olivier Guéant, 2016. "The Financial Mathematics of Market Liquidity: From Optimal Execution to Market Making," Post-Print hal-01393136, HAL.
  38. Dammann, Felix & Ferrari, Giorgio, 2022. "Optimal Execution with Multiplicative Price Impact and Incomplete Information on the Return," Center for Mathematical Economics Working Papers 663, Center for Mathematical Economics, Bielefeld University.
  39. Elliott, Robert & Qiu, Jinniao & Wei, Wenning, 2022. "Neumann problem for backward SPDEs with singular terminal conditions and application in constrained stochastic control under target zone," Stochastic Processes and their Applications, Elsevier, vol. 148(C), pages 68-97.
  40. Roman Gayduk & Sergey Nadtochiy, 2016. "Endogenous Formation of Limit Order Books: Dynamics Between Trades," Papers 1605.09720, arXiv.org, revised Jun 2017.
  41. Somayeh Moazeni & Thomas Coleman & Yuying Li, 2013. "Regularized robust optimization: the optimal portfolio execution case," Computational Optimization and Applications, Springer, vol. 55(2), pages 341-377, June.
  42. Guanxing Fu & Ulrich Horst & Xiaonyu Xia, 2022. "Portfolio liquidation games with self‐exciting order flow," Mathematical Finance, Wiley Blackwell, vol. 32(4), pages 1020-1065, October.
  43. M. Alessandra Crisafi & Andrea Macrina, 2014. "Simultaneous Trading in 'Lit' and Dark Pools," Papers 1405.2023, arXiv.org, revised Jan 2016.
  44. Dmitry B. Rokhlin & Georgii Mironenko, 2016. "Regular finite fuel stochastic control problems with exit time," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 84(1), pages 105-127, August.
  45. Arne Lokka & Junwei Xu, 2020. "Optimal liquidation trajectories for the Almgren-Chriss model with Levy processes," Papers 2002.03376, arXiv.org, revised Sep 2020.
  46. Kevin Patrick Darby, 2021. "Time is Money: The Equilibrium Trading Horizon and Optimal Arrival Price," Papers 2104.05844, arXiv.org.
  47. Paulwin Graewe & Ulrich Horst & Eric S'er'e, 2013. "Smooth solutions to portfolio liquidation problems under price-sensitive market impact," Papers 1309.0474, arXiv.org, revised Jun 2017.
  48. Yan Dolinsky, 2022. "Duality Theory for Exponential Utility--Based Hedging in the Almgren--Chriss Model," Papers 2210.03917, arXiv.org, revised Jun 2023.
  49. Erhan Bayraktar & Alexander Munk, 2017. "Mini-Flash Crashes, Model Risk, and Optimal Execution," Papers 1705.09827, arXiv.org, revised Aug 2018.
  50. Marcin Woźniak, 2015. "Can the Stochastic Equilibrium Job Search Models Fit Transition Economies?," Acta Oeconomica, Akadémiai Kiadó, Hungary, vol. 65(4), pages 567-591, December.
  51. Phillip Monin, 2014. "Hedging Market Risk in Optimal Liquidation," Working Papers 14-08, Office of Financial Research, US Department of the Treasury.
  52. Felix Dammann & Giorgio Ferrari, 2022. "Optimal Execution with Multiplicative Price Impact and Incomplete Information on the Return," Papers 2202.10414, arXiv.org, revised Nov 2022.
  53. Max O. Souza & Yuri Thamsten, 2021. "On regularized optimal execution problems and their singular limits," Papers 2101.02731, arXiv.org, revised Aug 2023.
  54. Brunovský, Pavol & Černý, Aleš & Komadel, Ján, 2018. "Optimal trade execution under endogenous pressure to liquidate: Theory and numerical solutions," European Journal of Operational Research, Elsevier, vol. 264(3), pages 1159-1171.
  55. M. Alessandra Crisafi & Andrea Macrina, 2016. "Simultaneous Trading In ‘Lit’ And Dark Pools," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 19(08), pages 1-33, December.
  56. Ulrich Horst & Evgueni Kivman, 2021. "Optimal trade execution under small market impact and portfolio liquidation with semimartingale strategies," Papers 2103.05957, arXiv.org, revised Jul 2023.
  57. Chiara Benazzoli & Luca Di Persio, 2017. "Optimal execution strategy in liquidity framework," Cogent Economics & Finance, Taylor & Francis Journals, vol. 5(1), pages 1364902-136, January.
  58. Jan Rosenzweig, 2019. "Conservation Laws in a Limit Order Book," Papers 1910.09202, arXiv.org, revised Dec 2020.
  59. Leonid Dolinskyi & Yan Dolinsky, 2024. "Optimal liquidation with high risk aversion and small linear price impact," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 47(1), pages 183-198, June.
  60. Damiano Brigo & Giuseppe Di Graziano, 2013. "Optimal execution comparison across risks and dynamics, with solutions for displaced diffusions," Papers 1304.2942, arXiv.org, revised May 2014.
  61. Arti Singh & Dharmaraja Selvamuthu, 2017. "Mean–variance optimal trading problem subject to stochastic dominance constraints with second order autoregressive price dynamics," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 86(1), pages 29-69, August.
  62. T. R. Hurd & Quentin H. Shao & Tuan Tran, 2016. "Optimal Portfolios of Illiquid Assets," Papers 1610.00395, arXiv.org.
  63. Arne Lokka & Junwei Xu, 2020. "Optimal liquidation for a risk averse investor in a one-sided limit order book driven by a Levy process," Papers 2002.03379, arXiv.org, revised Oct 2020.
  64. Qinghua Li, 2014. "Facilitation and Internalization Optimal Strategy in a Multilateral Trading Context," Papers 1404.7320, arXiv.org, revised Jan 2015.
  65. Guanxing Fu & Ulrich Horst & Xiaonyu Xia, 2020. "Portfolio Liquidation Games with Self-Exciting Order Flow," Papers 2011.05589, arXiv.org.
  66. Qixuan Luo & Shijia Song & Handong Li, 2023. "Research on the Effects of Liquidation Strategies in the Multi-asset Artificial Market," Computational Economics, Springer;Society for Computational Economics, vol. 62(4), pages 1721-1750, December.
  67. Xue Cheng & Marina Di Giacinto & Tai-Ho Wang, 2019. "Optimal execution with dynamic risk adjustment," Papers 1901.00617, arXiv.org, revised Jul 2019.
  68. Olivier Gu'eant & Jean-Michel Lasry & Jiang Pu, 2014. "A convex duality method for optimal liquidation with participation constraints," Papers 1407.4614, arXiv.org, revised Dec 2014.
  69. Juan M. Romero & Jorge Bautista, 2016. "Exact solutions for optimal execution of portfolios transactions and the Riccati equation," Papers 1601.07961, arXiv.org.
  70. T Kruse & A Popier, 2015. "Minimal supersolutions for BSDEs with singular terminal condition and application to optimal position targeting," Papers 1504.01150, arXiv.org, revised Dec 2015.
  71. Wenpin Tang, 2023. "Trading and wealth evolution in the Proof of Stake protocol," Papers 2308.01803, arXiv.org, revised Aug 2023.
  72. Ulrich Horst & Xiaonyu Xia & Chao Zhou, 2019. "Portfolio liquidation under factor uncertainty," Papers 1909.00748, arXiv.org.
  73. Eyal Neuman & Alexander Schied, 2016. "Optimal portfolio liquidation in target zone models and catalytic superprocesses," Finance and Stochastics, Springer, vol. 20(2), pages 495-509, April.
  74. Tae Ung Gang & Jin Hyuk Choi, 2024. "Unified Asymptotics For Investment Under Illiquidity: Transaction Costs And Search Frictions," Papers 2407.13547, arXiv.org.
  75. Takashi Kato, 2017. "An Optimal Execution Problem with S-shaped Market Impact Functions," Papers 1706.09224, arXiv.org, revised Oct 2017.
  76. Kruse, T. & Popier, A., 2016. "Minimal supersolutions for BSDEs with singular terminal condition and application to optimal position targeting," Stochastic Processes and their Applications, Elsevier, vol. 126(9), pages 2554-2592.
  77. Neil A. Chriss, 2024. "Competitive equilibria in trading," Papers 2410.13583, arXiv.org, revised Oct 2024.
  78. Guanxing Fu & Paul P. Hager & Ulrich Horst, 2023. "Mean-Field Liquidation Games with Market Drop-out," Papers 2303.05783, arXiv.org, revised Sep 2023.
  79. Bastien Baldacci & Jerome Benveniste, 2020. "A note on Almgren-Chriss optimal execution problem with geometric Brownian motion," Papers 2006.11426, arXiv.org, revised Jun 2020.
  80. Theodoros M. Diasakos, 2011. "A Simple Characterization of Dynamic Completeness in Continuous Time," Carlo Alberto Notebooks 211, Collegio Carlo Alberto.
  81. David Evangelista & Yuri Thamsten, 2023. "Approximately optimal trade execution strategies under fast mean-reversion," Papers 2307.07024, arXiv.org, revised Aug 2023.
  82. Guanxing Fu & Paul P. Hager & Ulrich Horst, 2024. "A Mean-Field Game of Market Entry: Portfolio Liquidation with Trading Constraints," Papers 2403.10441, arXiv.org.
  83. Julien Vaes & Raphael Hauser, 2018. "Optimal Trade Execution with Uncertain Volume Target," Papers 1810.11454, arXiv.org, revised Sep 2021.
  84. Jin Hyuk Choi & Tae Ung Gang, 2021. "Optimal investment in illiquid market with search frictions and transaction costs," Papers 2101.09936, arXiv.org, revised Aug 2021.
  85. Christopher Lorenz & Alexander Schied, 2012. "Drift dependence of optimal trade execution strategies under transient price impact," Papers 1204.2716, arXiv.org, revised Mar 2013.
  86. Yun Xu & J. P. Wang, 2017. "Earthquake recurrence assessment of the active Shanchiao Fault in northern Taiwan," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 88(2), pages 835-851, September.
  87. Kyle Bechler & Mike Ludkovski, 2014. "Optimal Execution with Dynamic Order Flow Imbalance," Papers 1409.2618, arXiv.org, revised Oct 2014.
  88. Diasakos, Theodoros M, 2013. "Comparative Statics of Asset Prices: the effect of other assets' risk," SIRE Discussion Papers 2013-94, Scottish Institute for Research in Economics (SIRE).
  89. Cattivelli, Luca & Pirino, Davide, 2019. "A SHARP model of bid–ask spread forecasts," International Journal of Forecasting, Elsevier, vol. 35(4), pages 1211-1225.
  90. Jana Bielagk & Ulrich Horst & Santiago Moreno--Bromberg, 2016. "A Principal-Agent Model of Trading Under Market Impact -Crossing networks interacting with dealer markets-," Papers 1607.04047, arXiv.org, revised Aug 2016.
  91. Forsyth, P.A. & Kennedy, J.S. & Tse, S.T. & Windcliff, H., 2012. "Optimal trade execution: A mean quadratic variation approach," Journal of Economic Dynamics and Control, Elsevier, vol. 36(12), pages 1971-1991.
  92. Colaneri, Katia & Eksi, Zehra & Frey, Rüdiger & Szölgyenyi, Michaela, 2020. "Optimal liquidation under partial information with price impact," Stochastic Processes and their Applications, Elsevier, vol. 130(4), pages 1913-1946.
  93. T Kruse & A Popier, 2015. "Minimal supersolutions for BSDEs with singular terminal condition and application to optimal position targeting," Working Papers hal-01139364, HAL.
  94. Neil A. Chriss, 2024. "Optimal position-building strategies in competition," Papers 2409.03586, arXiv.org, revised Nov 2024.
  95. Masashi Ieda, 2015. "A dynamic optimal execution strategy under stochastic price recovery," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 2(04), pages 1-24, December.
  96. Alexander Schied, 2012. "Robust Strategies for Optimal Order Execution in the Almgren-Chriss Framework," Papers 1204.2717, arXiv.org, revised May 2013.
  97. Eyal Neuman & Alexander Schied, 2015. "Optimal Portfolio Liquidation in Target Zone Models and Catalytic Superprocesses," Papers 1504.06031, arXiv.org, revised Jul 2015.
  98. Jingnan Chen & Liming Feng & Jiming Peng & Yinyu Ye, 2014. "Analytical Results and Efficient Algorithm for Optimal Portfolio Deleveraging with Market Impact," Operations Research, INFORMS, vol. 62(1), pages 195-206, February.
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