研究了在非瓦尔拉斯市场中,当市场的价格冲击函数为变现速度的非线性函数时,投资者的最优变现策略和最优变现时间问题。利用控制理论中的极大值原理,获得了作为控制变量的最优变现策略,同时也得到了最优变现时间。建立的市场模型在价格形成、交易制度方面接近现实经济中的市场。研究结论表明,变现时间内生时,在机构投资者应用最优变现策略情况下,没有出清手中所有头寸前,机构投资者的变现速度必不为零。
In a non-Walrasian market with nonlinear price impact function, the optimal liquidation strategy and optimal liquidation time are investigated for institution investors. By means of maximum principle in control theory, the optimal strategies are obtained as the control variableS, and the optimal liquidating time is 'also gained. The proposed market model is more approximate to the reality market in discovering price and transaction regimes. The research result shows that before liquidating all the position at hand, the liquidation velocity must be not zero with utilizing the optimal strategy, if the liquidating time is endogenous.