Dmitrii Yakyshin

The unstable situation currently developing in financial markets leads to an increased risk of investing in securities. In such conditions, investment strategies that make it possible to reduce or even completely eliminate this risk become relevant. The purpose of the study: to give the concept of an investment portfolio insurance, to consider the implementation algorithms of the main methods of portfolio insurance. The article discusses the basic mathematical dependencies underlying the methods. The authors give a list of advantages and disadvantages, examples of the implementation of some of the methods, and show their effectiveness.

In order to analyze and predict the dynamics of economic processes, the construction of time series models is used. Most often, additive and multiplicative models are built in practice. However, these models have a limited scope and are not suitable for the mathematical description of time series of a certain type. The purpose of this article is to develop a new type of model - a hybrid additive-multiplicative model that allows us to overcome the noted limitations. An example of the algorithm for constructing this model is given in the work. It is shown that the proposed model is more universal than previously known ones.

The article deals with the main approaches to the financing of pension systems. Their advantages and disadvantages are highlighted. The authors give basic formulas for calculating the funded part of the pension according to savings and insurance scheme. The results of the study of various factors influence on the amount of pension are considered.

The article describes some features of an independent financial consultant profession. It is noted that to build a risk profile is one of the main points in the work of a financial consultant in the formation of an investment strategy for a client. The authors show the main stages of risk profiling development and describe the main components of an individual risk profile. It is specified that psychometric questionnaires can be successfully used to quantify the risk tolerance of an investor.

In this paper the authors scrutinize the application of successive statistical analysis for estimation of investment portfolio management efficiency control. They give the implementation algorithm of a cumulative sums method applied to the study of informational ratio change. The developed method has been applied to estimation of some unit investment fund management efficiency in Russia.