Algorithmic trading, stochastic control, and mutually exciting processes

Author: 

Cartea, Á
Jaimungal, S
Ricci, J

Publication Date: 

1 January 2018

Journal: 

SIAM Review

Last Updated: 

2019-06-09T17:09:17.98+01:00

Issue: 

3

Volume: 

60

DOI: 

10.1137/18M1176968

page: 

673-703

abstract: 

© 2018 Society for Industrial and Applied Mathematics. We develop a high frequency (HF) trading strategy where the HF trader uses her superior speed to process information and to post limit sell and buy orders. By introducing a multifactor mutually exciting process, we allow for feedback effects in market buy and sell orders and the shape of the limit order book (LOB). Our model accounts for the arrival of market orders that influence activity, trigger one-sided and two-sided clustering of trades, and induce temporary changes in the shape of the LOB. We also model the impact that market orders have on the short-term drift of the midprice (short-term-alpha). We show that HF traders who do not include predictors of short-term-alpha in their strategies are driven out of the market because they are adversely selected by better-informed traders and because they are not able to profit from directional strategies.

Symplectic id: 

905665

Submitted to ORA: 

Submitted

Publication Type: 

Journal Article

ISBN-13: 

9781107091146

ISBN-10: 

1107091144