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arXiv 1206.0682q-fin.TRq-fin.ST
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存在瞬时市场冲击时金融交易的最优执行的校准

Calibration of optimal execution of financial transactions in the presence of transient market impact

Enzo Busseti, Fabrizio Lillo

摘要:

在订单驱动市场中交易大量金融资产需要使用算法执行来划分许多交易中的交易量,以最大限度地减少因市场冲击而产生的成本。最优执行策略的正确设计在很大程度上取决于对市场冲击的仔细建模,即价格对交易的反应。在本文中,我们考虑了最近引入的市场冲击模型(Bouchaud等人,2004),其具有描述由于交易引起的价格变化的量和时间依赖性的性质。我们展示了这个模型如何可以用来描述价格的影响,也在总交易时间或实时。然后,我们解决了分析和校准与真实数据的最优执行问题的风险中性和风险厌恶的投资者,我们得到了一个有效的边界的最优执行。当我们包括传播成本的问题必须解决数字,我们表明,这种成本的引入正规化的解决方案。

英文摘要:

Trading large volumes of a financial asset in order driven markets requires the use of algorithmic execution dividing the volume in many transactions in order to minimize costs due to market impact. A proper design of an optimal execution strategy strongly depends on a careful modeling of market impact, i.e. how the price reacts to trades. In this paper we consider a recently introduced market impact model (Bouchaud et al., 2004), which has the property of describing both the volume and the temporal dependence of price change due to trading. We show how this model can be used to describe price impact also in aggregated trade time or in real time. We then solve analytically and calibrate with real data the optimal execution problem both for risk neutral and for risk averse investors and we derive an efficient frontier of optimal execution. When we include spread costs the problem must be solved numerically and we show that the introduction of such costs regularizes the solution.

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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