Market Impact with Autocorrelated Order Flow under Perfect Competition
Our goal in this paper is to study the market impact in a market in which the order flow is autocorrelated. We build a model which explains qualitatively and quantitatively the empirical facts observed so far concerning market impact. We define different notions of market impact, and show how they lead to the different price paths observed in the literature. For each one, under the assumption of perfect competition and information, we derive and explain the relationships between the correlations in the order flow, the shape of the market impact function while a meta-order is being executed, and the expected price after the completion. We also derive an expression for the decay of market impact after a trade, and show how it can result in a better liquidation strategy for an informed trader. We show how, in spite of auto-correlation in order-flow, prices can be martingales, and how price manipulation is ruled out even though the bare impact function is concave. We finally assess the cost of market impact and try to make a step towards optimal strategies.
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- F. Lillo & Szabolcs Mike & J. Doyne Farmer, 2004. "A theory for long-memory in supply and demand," Papers cond-mat/0412708, arXiv.org, revised Mar 2005.
- Kyle, Albert S, 1985. "Continuous Auctions and Insider Trading," Econometrica, Econometric Society, vol. 53(6), pages 1315-1335, November.
When requesting a correction, please mention this item's handle: RePEc:arx:papers:1212.4770. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (arXiv administrators)
If references are entirely missing, you can add them using this form.