Dynamic Trading Strategies with Stochastic and Nonlinear Price Impact
In practice, the trader with a large block of shares usually faces endogenous liquidity risk of price impact. So the shares are usually broken up and the trader will choose the optimal strategy to trade. In this paper, the model of price impact is expanded. Supposing price impact with stochastic and nonlinear, we established the model of the stochastic and nonlinear price impact. The results show that the trader liquidation speed is obviously confined and the speed is constant in almost whole time under stochastic quadratic price impact function. The parameters sensitivity of optimal strategy is also analyzed in the dissertation: in early days, the greater σ and α are, the greater liquidation speed is. The liquidation position reduction is more close to linear with γ 、β and θ increasing. We also highlight that the optimal liquidation time should be investigated on internal and external conditions.
Chu Xiaojun Liu Sifeng
conomics and management of Nanjing University of Aeronautics and Astronautics, Nanjing 210016 China
国际会议
2007年IEEE灰色系统与智能服务国际会议(2007 IEEE International Conference on Grey Systems and Intelligent Services)
南京
英文
2007-11-18（万方平台首次上网日期，不代表论文的发表时间）