摘要翻译:
原子和分子是我们为了理解我们周围的物理世界而发明的重要概念实体。它们有用的关键在于将核自由度和电子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其时间演变。由于核/电子和原子/分子时间尺度之间的分离,使用这种有效的变量来代替真正的微观变量是可能的。当时间尺度发生分离时,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力学。为了检测金融市场中分离的时间尺度并识别它们相关的有效自由度,我们设计了一个两阶段统计聚类方案来分析几个股票市场中股票的价格变化。通过这种双时间尺度的聚类分析,我们发现了现实金融市场中自组织的层次结构。我们称这些统计上稳健的自组织动力学结构为金融原子、金融分子和金融超分子。一般说来,这些动态结构的详细组成不能单凭原始的金融直觉来推断,必须根据市场参与者的基本投资组合和投资策略来解释。更有趣的是,我们发现,中国股市回调和次贷危机等重大市场事件在金融分子的相关结构中留下了许多启示迹象。
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英文标题:
《Financial Atoms and Molecules》
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作者:
Yik Wen Goo, Tong Wei Lian, Wei Guang Ong, Wen Ting Choi, and Siew-Ann
Cheong
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最新提交年份:
2009
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分类信息:
一级分类:Quantitative Finance 数量金融学
二级分类:General Finance 一般财务
分类描述:Development of general quantitative methodologies with applications in finance
通用定量方法的发展及其在金融中的应用
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一级分类:Quantitative Finance 数量金融学
二级分类:Statistical Finance 统计金融
分类描述:Statistical, econometric and econophysics analyses with applications to financial markets and economic data
统计、计量经济学和经济物理学分析及其在金融市场和经济数据中的应用
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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.
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PDF链接:
https://arxiv.org/pdf/0903.2099