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Passive Market Impact: A Point Process Approach
[Submitted on 10 Dec 2024 (v1), last revised 4 Jul 2026 (this ve · 2024-12-10 · via math.PR updates on arXiv.org

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Abstract:While the market impact of aggressive orders has been extensively studied, the impact of passive orders, those executed through limit orders, remains less understood. The goal of this paper is to investigate passive market impact by developing a microstructure model connecting liquidity dynamics and price moves. A key innovation of our approach is to replace the traditional assumption of constant information content for each trade by a function that depends on the available volume in the limit order book. Within this framework, we explore scaling limits and analyze the market impact of passive metaorders. Additionally, we derive useful approximations for the shape of market impact curves, leading to closed-form formulas that can be easily applied in practice.

Submission history

From: Grégoire Szymanski [view email]
[v1] Tue, 10 Dec 2024 12:30:27 UTC (1,208 KB)
[v2] Sat, 4 Jul 2026 10:21:53 UTC (115 KB)