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Optimal Execution and Block Trade Pricing: A General Framework

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  • Olivier Guéant

Abstract

In this article, we develop a general framework to study optimal execution and to price block trades. We prove existence of optimal liquidation strategies and provide regularity results for optimal strategies under very general hypotheses. We exhibit a Hamiltonian characterization for the optimal strategy that can be used for numerical approximation. We also focus on the important topic of block trade pricing and propose a methodology to give a price to financial (il)liquidity. In particular, we provide a closed-form formula for the price of a block trade when there is no time constraint to liquidate.

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  • Olivier Guéant, 2015. "Optimal Execution and Block Trade Pricing: A General Framework," Applied Mathematical Finance, Taylor & Francis Journals, vol. 22(4), pages 336-365, September.
    • Handle: RePEc:taf:apmtfi:v:22:y:2015:i:4:p:336-365
    DOI: 10.1080/1350486X.2015.1042188
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    Cited by:

    1. Alexis Bismuth & Olivier Gu'eant & Jiang Pu, 2016. "Portfolio choice, portfolio liquidation, and portfolio transition under drift uncertainty," Papers 1611.07843, arXiv.org, revised Mar 2019.
    2. Olivier Guéant & Jiang Pu, 2017. "Option Pricing And Hedging With Execution Costs And Market Impact," Mathematical Finance, Wiley Blackwell, vol. 27(3), pages 803-831, July.
    3. 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.
    4. Olivier Guéant, 2016. "The Financial Mathematics of Market Liquidity: From Optimal Execution to Market Making," Post-Print hal-01393136, HAL.

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