The development of portfolio theory and financial innovations of the 21st century

In the article basic approaches to portfolio investment management are analyzed, from the point of view view of implementation of the main methods of risk management. The authors explore modern financial technologies from the point of view of the possibilities of their practical application for the implementation of existing theories and methodological developments in this area. The article outlines approaches to the development of modern tools for solving the priority problems of investment risk management, as well as additions Classic theories with mathematical models that make it possible to apply them effectively.