熵风险度量与熵风险下的投资组合模型

Yue Dong
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引用次数: 0

摘要

证券投资者在进行投资决策时,最关心的是能够获得的收益和必须承担的风险。为了解决马科维茨经典证券组合模型基于证券收益和方差度量投资风险的局限性,本文基于热力学熵的概念,分析了风险的性质和特征,并着重对熵进行了论证。在量化证券投资风险的合理性和优越性之后,构建了熵风险下的证券投资组合模型。该模型从熵的角度对传统证券投资组合模型进行了全新的优化建模,开辟了新的研究视角。随后,针对模型的主要缺陷,结合信息最大熵理论,在不完全金融市场条件下对模型进行修正和优化,得出投资者可以通过控制投资组合的分散结构来降低或抵抗风险的结论。最后,结合我国国情,提出了在我国证券业应用中应注意的问题及解决办法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Entropy Risk Measurement and Portfolio Model under Entropy Risk
When making investment decisions, securities investors are most concerned about the benefits they can obtain and the risks they must bear. In order to solve the limitations of Markowitz’s classic securities portfolio model to measure investment risk based on the return and variance of securities, this paper analyzes the nature and characteristics of risk, based on the concept of thermodynamic entropy, and focuses on demonstrating entropy. After quantifying the rationality and superiority of securities investment risks, a securities investment portfolio model under entropy risk is constructed. This model carries out a brand-new optimization modeling of traditional securities portfolio models from the perspective of entropy and opens up new research perspectives. Afterwards, in view of the main defects of the model, the model was revised and optimized in the incomplete financial market in combination with the maximum entropy of information theory, and it was concluded that investors can reduce or resist risks by controlling the decentralized structure of the investment portfolio. Finally, based on our country's national conditions, some attention problems and solutions are given in the application of our country's securities industry.
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