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arXiv 1111.6826q-fin.TRq-fin.RM
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具有非线性市场冲击的最优交易执行:一种替代的求解方法

Optimal Trading Execution with Nonlinear Market Impact: An Alternative Solution Method

Massimiliano Marzo, Daniele Ritelli, Paolo Zagaglia

摘要:

我们考虑了Almgren(2003)提出的单一股票的大投资组合的最优交易执行策略。这个框架解释了交易对平均市场价格的非线性影响。Almgren(2003)的结果是基于这样的假设,即在期初,单位时间内没有任何资产份额进行交易。我们提出了一个一般的解决方法,适应的情况下,积极的资产存量在初始阶段。我们的发现是双重的。首先,我们证明了只有在施加额外的参数限制时,该问题才能在开盘期内无交易。第二,在初始阶段持有正资产的情况下,最优执行时间取决于计划期开始时的交易活动。

英文摘要:

We consider the optimal trade execution strategies for a large portfolio of single stocks proposed by Almgren (2003). This framework accounts for a nonlinear impact of trades on average market prices. The results of Almgren (2003) are based on the assumption that no shares of assets per unit of time are trade at the beginning of the period. We propose a general solution method that accomodates the case of a positive stock of assets in the initial period. Our findings are twofold. First of all, we show that the problem admits a solution with no trading in the opening period only if additional parametric restrictions are imposed. Second, with positive asset holdings in the initial period, the optimal execution time depends on trading activity at the beginning of the planning period.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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