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Mathematical Foundations of Realtime Equity Trading. Liquidity Deficit and Market Dynamics. Automated Trading Machines

机译:实时股权交易的数学基础。流动性赤字   和市场动态。自动交易机器

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摘要

We postulates, and then show experimentally, that liquidity deficit is thedriving force of the markets. In the first part of the paper a kinematic ofliquidity deficit is developed. The calculus-like approach, which is based onRadon--Nikodym derivatives and their generalization, allows us to calculateimportant characteristics of observable market dynamics. In the second part ofthe paper this calculus is used in an attempt to build a dynamic equation inthe form: future price tend to the value maximizing the number of shares tradedper unit time. To build a practical automated trading machine P&L dynamicsinstead of price dynamics is considered. This allows a trading automateresilient to catastrophic P&L drains to be built. The results are verypromising, yet when all the fees and trading commissions are taken intoaccount, are close to breakeven. In the end of the paper important criteria forautomated trading systems are presented. We list the system types that can andcannot make money on the market. These criteria can be successfully applied notonly by automated trading machines, but also by a human trader.
机译:我们假设并通过实验证明流动性赤字是市场的驱动力。在本文的第一部分,研究了流动性赤字的运动学。基于Radon-Nikodym导数及其推广的类微积分方法,使我们能够计算可观察市场动态的重要特征。在本文的第二部分中,使用该演算来尝试建立以下形式的动态方程:期货价格趋于使单位时间内交易的股票数量最大化的值。要构建实用的自动交易机,应考虑损益动态而不是价格动态。这允许建立自动的,具有弹性的灾难性损益流失。结果是很有希望的,但是当所有费用和交易佣金都考虑在内时,收支平衡将接近。最后,介绍了自动交易系统的重要标准。我们列出了无法在市场上赚钱的系统类型。这些标准不仅可以通过自动交易机成功地应用,而且可以通过人工交易者成功地应用。

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