Model of managing pension assets of the defined contribution mandatory state pension system

Abstract

Introduction of the defined contribution mandatory state pension system in Ukraine actualises the issue of efficient management of its pension assets. The goals of the article are development of theoretical and methodical provisions and development of the economic and mathematical model of management of pension assets of the defined contribution pension system on the basis of the fuzzy set approach. The necessity to refer to the theory of fuzzy sets when modelling this process is caused by, firstly, absence of rather complete consistent “a priori” information, secondly, uncertainty of flows of insurance contributions and pension payments and, thirdly, significant influence of the instable market environment upon investment processes. The proposed fuzzy set economic and mathematical model of the task of optimal management of pension assets of the defined contribution system is a target function of minimisation of the investment risk as the risk of insufficiency of net pension assets and system of restrictions that reflect restriction of the investment activity with pension assets of the defined contribution pension system, determined by the current pension legislation.

Keywords

• defined contribution pension system
• pension assets
• investments
• risk
• fuzzy sets
• model