The purpose of the research is to study the problem of restructuring the investment portfolio with the identification of the risk, profitability and the emergence impact of the new portfolio object on the process of changing its structure. The most important properties of portfolio allocation of investment should be identified on a simple class of models. Therefore, the optimization models of maximizing return and minimizing the total risk of the portfolio are chosen as a methodology for the study. Structural analysis of investment distribution between portfolio objects in statics is also applied. To solve the problem of finding the extremum of the return function and the total risk, which is estimated by the value of the covariance of return on investment in the portfolio objects, the gradient projection method is used, the algorithm of which allows to obtain an iterative picture of the risk and return changes on objects and for the investment portfolio as a whole. The result of the research is to obtain different distribution structures of the investment portfolio and identify the properties of its restructuring with the emergence of the new combination. In addition, it is established that the new combination, depending on risk and return, can lead to such restructuring of the investment portfolio. The portfolio of reforms also falls under the logic of the portfolio task. There may be a characteristic point where the same ratio of risk and return is provided by different structures of distribution of investment, which increases the need for qualitative assessments of those areas that require development and investment. This places special demands on the development of modern structural policies and institutional adjustments that governments have resorted to.

中文翻译：

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投资组合的重组：新组合出现的风险和影响

研究的目的是通过识别风险，获利能力以及新投资组合对象对结构变化过程的出现影响来研究重组投资组合的问题。投资的投资组合分配的最重要属性应通过简单的模型类别来确定。因此，选择最大化回报和最小化投资组合总风险的优化模型作为研究方法。还应用了静态投资组合对象之间投资分配的结构分析。为了解决由投资组合对象中的投资收益的协方差值估算的寻找收益函数和总风险极值的问题，使用了梯度投影法，该算法允许获得风险的迭代图，以及对象和整个投资组合的收益变化。研究的结果是获得投资组合的不同分布结构，并随着新组合的出现确定其重组的性质。此外，可以确定的是，根据风险和回报，新的组合可以导致投资组合的这种重组。改革组合也属于组合任务的逻辑。可能存在一个特征点，即不同的投资分配结构提供了相同的风险和回报比率，这增加了对需要开发和投资的领域进行定性评估的需求。