
arXiv: 1909.10464
handle: 10044/1/82327
We define the concept of good trade execution and we construct explicit adapted good trade execution strategies in the framework of linear temporary market impact. Good trade execution strategies are dynamic, in the sense that they react to the actual realisation of the traded asset price path over the trading period; this is paramount in volatile regimes, where price trajectories can considerably deviate from their expected value. Remarkably however, the implementation of our strategies does not require the full specification of an SDE evolution for the traded asset price, making them robust across different models. Moreover, rather than minimising the expected trading cost, good trade execution strategies minimise trading costs in a pathwise sense, a point of view not yet considered in the literature. The mathematical apparatus for such a pathwise minimisation hinges on certain random Young differential equations that correspond to the Euler-Lagrange equations of the classical Calculus of Variations. These Young differential equations characterise our good trade execution strategies in terms of an initial value problem that allows for easy implementations.
31 pages, 3 figures
Market microstructure, 330, Economics, Social Sciences, Quantitative finance techniques, 91G99, FOS: Economics and business, Business & Economics, Business, Interdisciplinary Applications, Tourism and Services, 01 Mathematical Sciences, 14 Economics, Science & Technology, Quantitative Finance - Trading and Market Microstructure, Quantitative finance, Mathematical Methods, Management, Trading and Market Microstructure (q-fin.TR), Physical Sciences, Finance, Mathematics, Mathematical Methods In Social Sciences, Quantitative trading strategies, 15 Commerce
Market microstructure, 330, Economics, Social Sciences, Quantitative finance techniques, 91G99, FOS: Economics and business, Business & Economics, Business, Interdisciplinary Applications, Tourism and Services, 01 Mathematical Sciences, 14 Economics, Science & Technology, Quantitative Finance - Trading and Market Microstructure, Quantitative finance, Mathematical Methods, Management, Trading and Market Microstructure (q-fin.TR), Physical Sciences, Finance, Mathematics, Mathematical Methods In Social Sciences, Quantitative trading strategies, 15 Commerce
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 1 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
