Optimal Portfolio Search Using Efficient Surface and Three-Dimensional Utility Function
Optimal Portfolio Search Using Efficient Surface and Three-Dimensional Utility Function

Summary/Abstract: The concepts of effectiveness, riskness and reliability are three cornerstones which together with utility of investor constitute the base for decisions perception and management logic in order to match the possibilities of investment space with investor's objectives. Risk, which is “a chance or possibility of danger, loss, injury, or other adverse consequences” (The Oxford Modern English Dictionary) or, specifically, in the area of investment management – “the chance that an investment (as a stock or commodity) will lose value” (Webster Dictionary) is the function of risksness of selected assets altogether with skills of a subject to manage the riskness of the analysed object, process, etc. Thus risk is analysed as an interaction of possibilities riskness and abilities of a subject (investor) to manage these possibilities. The paper will reveal a consistent way towards investment possibilities set description, when investment assets possibilities are under uncertainty, what is understood in this paper as under stochasticity. As a possible means of the above mentioned match the authors propose portfolio adequate for investment stochastic nature and present its formation and application principles. This model has broad application possibilities in investing in exchange and capital markets as well as in forming sustainable investment strategies. There are many figures and schemes in the text. This is caused by the consideration that where geometrical drawing can provide a non-false solution, this drawing becomes also a decision search visualization instrument.

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