金融原子与分子
Financial Atoms and Molecules
摘要：
原子和分子是我们发明来理解我们周围的物理世界的重要概念实体。它们有用的关键在于将原子核和电子的自由度组织成一个单一的动力学变量，我们可以更好地想象它的时间演化。由于核/电子和原子/分子时间尺度之间的分离，使用这种有效变量代替真正的微观变量是可能的。在时间尺度分离的情况下，识别金融市场中的类似对象可以帮助我们进一步理解它们的动态。为了检测分离的时间尺度，并确定其相关的有效自由度在金融市场，我们设计了一个两阶段的统计聚类方案来分析股票在几个股票市场的价格变动。通过这两个时间尺度的聚类分析，我们发现了一个层次的自组织在现实的金融市场。我们把这些统计上稳健的自组织动力学结构称为金融原子、金融分子和金融超分子。一般来说，这些动态结构的详细组成不能仅仅基于原始的金融直觉来推断，必须根据基础投资组合和市场参与者的投资策略来解释。更有趣的是，我们发现，重大的市场事件，如中国的调整和次贷危机留下了许多金融分子的相关结构的迹象。
英文摘要：
Atoms and molecules are important conceptual entities we invented to understand the physical world around us. The key to their usefulness lies in the organization of nuclear and electronic degrees of freedom into a single dynamical variable whose time evolution we can better imagine. The use of such effective variables in place of the true microscopic variables is possible because of the separation between nuclear/electronic and atomic/molecular time scales. Where separation of time scales occurs, identification of analogous objects in financial markets can help advance our understanding of their dynamics. To detect separated time scales and identify their associated effective degrees of freedom in financial markets, we devised a two-stage statistical clustering scheme to analyze the price movements of stocks in several equity markets. Through this two-time-scale clustering analysis, we discovered a hierarchy of levels of self-organization in real financial markets. We call these statistically robust self-organized dynamical structures financial atoms, financial molecules, and financial supermolecules. In general, the detailed compositions of these dynamical structures cannot be deduced based on raw financial intuition alone, and must be explained in terms of the underlying portfolios, and investment strategies of market players. More interestingly, we find that major market events such as the Chinese Correction and the Subprime Crisis leave many tell-tale signs within the correlational structures of financial molecules.
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。
