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Optimal liquidation problem in illiquid markets

Author

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  • Amirhossein Sadoghi

    (ESC [Rennes] - ESC Rennes School of Business)

  • Jan Vecer

    (UK - Univerzita Karlova [Praha, Česká republika] = Charles University [Prague, Czech Republic], Frankfurt School of Finance and Management)

Abstract

In this research, we develop a trading strategy for the optimal liquidation problem of large-order trading, with different market microstructures, in an illiquid market. We formulate the liquidation problem as a discrete-time Markov decision process. In this market, the flow of liquidity events can be viewed as a point process with stochastic intensity. Based on this fact, we model the price impact as a linear function of a self-exciting dynamic process. Our trading algorithm is designed in such a way that when no favourite orders arrive in the Limit Order Book (LOB), the optimal solution takes offers from the lower levels of the LOB. This solution might contradict conventional optimal execution methods, which only trade with the best available limit orders; however, our findings show that the proposed strategy may reduce final inventory costs by preventing orders not being filled at earlier trading times. Furthermore, the results indicate that an optimal trading strategy is dependent on characteristics of the market microstructure.

Suggested Citation

  • Amirhossein Sadoghi & Jan Vecer, 2022. "Optimal liquidation problem in illiquid markets," Post-Print hal-03696768, HAL.
    • Handle: RePEc:hal:journl:hal-03696768
    DOI: 10.1016/j.ejor.2021.05.020
    Note: View the original document on HAL open archive server: https://rennes-sb.hal.science/hal-03696768
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    Keywords

    Finance; Optimal liquidation problem; Illiquid market; Markov-modulated poisson process; Hawkes processes;
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