英文标题:
《Market Dynamics. On A Muse Of Cash Flow And Liquidity Deficit》
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作者:
Vladislav Gennadievich Malyshkin
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最新提交年份:
2019
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英文摘要:
A first attempt at obtaining market--directional information from a non--stationary solution of the dynamic equation \"future price tends to the value that maximizes the number of shares traded per unit time\" [1] is presented. We demonstrate that the concept of price impact is poorly applicable to market dynamics. Instead, we consider the execution flow $I=dV/dt$ operator with the \"impact from the future\" term providing information about not--yet--executed trades. The \"impact from the future\" on $I$ can be directly estimated from the already--executed trades, the directional information on price is then obtained from the experimentally observed fact that the $I$ and $p$ operators have the same eigenfunctions (the exact result in the dynamic impact approximation $p=p(I)$). The condition for \"no information about the future\" is found and directional prediction quality is discussed. This work makes a substantial contribution toward solving the ultimate market dynamics problem: find evidence of existence (or proof of non--existence) of an automated trading machine which consistently makes positive P\\&L on a free market as an autonomous agent (aka the existence of the market dynamics equation). The software with a reference implementation of the theory is provided.
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中文摘要:
首次尝试从动态方程的非平稳解“未来价格趋向于使单位时间内交易的股票数量最大化的值”[1]中获取市场方向信息。我们证明,价格影响的概念不太适用于市场动态。相反,我们考虑执行流$I=dV/dt$操作符,其中的“未来影响”一词提供了有关尚未执行的交易的信息。可以从已经执行的交易中直接估计出“未来对I$的影响”,然后从实验观察到的事实中获得价格的方向信息,即I$和p$操作符具有相同的特征函数(动态影响近似值$p=p(I)$)中的准确结果)。找到了“没有未来信息”的条件,并讨论了方向预测的质量。这项工作对解决最终的市场动力学问题做出了重大贡献:找到自动交易机器存在的证据(或不存在的证据),该机器作为一个自治代理在自由市场上持续产生正损益(也称为市场动力学方程的存在)。提供了该理论的参考实现软件。
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分类信息:
一级分类:Quantitative Finance 数量金融学
二级分类:Trading and Market Microstructure 交易与市场微观结构
分类描述:Market microstructure, liquidity, exchange and auction design, automated trading, agent-based modeling and market-making
市场微观结构,流动性,交易和拍卖设计,自动化交易,基于代理的建模和做市
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一级分类:Quantitative Finance 数量金融学
二级分类:Computational Finance 计算金融学
分类描述:Computational methods, including Monte Carlo, PDE, lattice and other numerical methods with applications to financial modeling
计算方法,包括蒙特卡罗,偏微分方程,格子和其他数值方法,并应用于金融建模
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