Optimal split of orders across liquidity pools: a stochastic algorithm approach - Archive ouverte HAL Access content directly
Journal Articles SIAM Journal on Financial Mathematics Year : 2011

Optimal split of orders across liquidity pools: a stochastic algorithm approach

Abstract

Evolutions of the trading landscape lead to the capability to exchange the same financial instrument on different venues. Because of liquidity issues, the trading firms split large orders across several trading destinations to optimize their execution. To solve this problem we devised two stochastic recursive learning procedures which adjust the proportions of the order to be sent to the different venues, one based on an optimization principle, the other on some reinforcement ideas. Both procedures are investigated from a theoretical point of view: we prove a.s. convergence of the optimization algorithm under some light ergodic (or "averaging") assumption on the input data process. No Markov property is needed. When the inputs are i.i.d. we show that the convergence rate is ruled by a Central Limit Theorem. Finally, the mutual performances of both algorithms are compared on simulated and real data with respect to an "oracle" strategy devised by an "insider" who knows a priori the executed quantities by every venues.
Fichier principal
Vignette du fichier
Dark_Poolsb22.pdf (747.19 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-00422427 , version 1 (06-10-2009)
hal-00422427 , version 2 (30-11-2009)
hal-00422427 , version 3 (18-03-2010)

Identifiers

Cite

Sophie Laruelle, Charles-Albert Lehalle, Gilles Pagès. Optimal split of orders across liquidity pools: a stochastic algorithm approach. SIAM Journal on Financial Mathematics, 2011, 2, pp.1042-1076. ⟨hal-00422427v3⟩
280 View
1362 Download

Altmetric

Share

Gmail Facebook X LinkedIn More