English

Optimal Liquidity Provision

Trading and Market Microstructure 2015-02-27 v3 Optimization and Control Probability Portfolio Management

Abstract

A small investor provides liquidity at the best bid and ask prices of a limit order market. For small spreads and frequent orders of other market participants, we explicitly determine the investor's optimal policy and welfare. In doing so, we allow for general dynamics of the mid price, the spread, and the order flow, as well as for arbitrary preferences of the liquidity provider under consideration.

Keywords

Cite

@article{arxiv.1309.5235,
  title  = {Optimal Liquidity Provision},
  author = {Christoph Kühn and Johannes Muhle-Karbe},
  journal= {arXiv preprint arXiv:1309.5235},
  year   = {2015}
}

Comments

22 pages, to appear in "Stochastic Processes and Their Applications"

R2 v1 2026-06-22T01:30:53.737Z