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Liquidity Stress Testing using Optimal Portfolio Liquidation

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  • Mike Weber
  • Iuliia Manziuk
  • Bastien Baldacci

Abstract

We build an optimal portfolio liquidation model for OTC markets, aiming at minimizing the trading costs via the choice of the liquidation time. We work in the Locally Linear Order Book framework of \cite{toth2011anomalous} to obtain the market impact as a function of the traded volume. We find that the optimal terminal time for a linear execution of a small order is proportional to the square root of the ratio between the amount being bought or sold and the average daily volume. Numerical experiments on real market data illustrate the method on a portfolio of corporate bonds.

Suggested Citation

  • Mike Weber & Iuliia Manziuk & Bastien Baldacci, 2021. "Liquidity Stress Testing using Optimal Portfolio Liquidation," Papers 2102.02877, arXiv.org.
    • Handle: RePEc:arx:papers:2102.02877
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    References listed on IDEAS

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    1. �lvaro Cartea & Sebastian Jaimungal, 2015. "Optimal execution with limit and market orders," Quantitative Finance, Taylor & Francis Journals, vol. 15(8), pages 1279-1291, August.
    2. Iacopo Mastromatteo & Michael Benzaquen & Zoltan Eisler & Jean-Philippe Bouchaud, 2017. "Trading Lightly: Cross-Impact and Optimal Portfolio Execution," Papers 1702.03838, arXiv.org, revised Aug 2017.
    3. Zoltan Eisler & Jean-Philippe Bouchaud, 2016. "Price impact without order book: A study of the OTC credit index market," Papers 1609.04620, arXiv.org.
    4. Bence Toth & Yves Lemperiere & Cyril Deremble & Joachim de Lataillade & Julien Kockelkoren & Jean-Philippe Bouchaud, 2011. "Anomalous price impact and the critical nature of liquidity in financial markets," Papers 1105.1694, arXiv.org, revised Nov 2011.
    5. Terrence Hendershott & Ananth Madhavan, 2015. "Click or Call? Auction versus Search in the Over-the-Counter Market," Journal of Finance, American Finance Association, vol. 70(1), pages 419-447, February.
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