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Использование кусочно-линейной аппроксимации функции полезности в оценке инвестиционных стратегий

Использование кусочно-линейной аппроксимации функции полезности в оценке инвестиционных стратегий

Abstract

The article suggests methods for construction of mutual investment funds’ ranking that take into account the investor’s attitude towards the risk. The theoretical model of the investor’s behavior is suggested that is based upon the piecewise linear approximation of the utility function. The methods suggested has been tested on the sample of 52 open mutual investment funds. It is shown that when ranking is completed as based upon the “perceived potential / perceived risk” index, selectivity of the investor’s profile is high that proves the viability of methods.

В статье предлагается методика построения рэнкинга паевых инвестиционных фондов, учитывающая отношение инвестора к риску. Предложена теоретическая модель поведения инвестора на основе кусочно-линейной аппроксимации функции полезности. Предложенная методика протестирована на выборке из 52 открытых паевых инвестиционных фондов. Показано, что при составлении рэнкинга на основании показателя «воспринимаемый потенциал / воспринимаемый риск» селективность профиля инвестора является высокой, что обосновывает жизнеспособность методики.

Keywords

INVESTOR'S UTILITY FUNCTION,PIECEWISE LINEAR APPROXIMATION,INVESTMENT STRATEGIES EVALUATION,RAMP,SHARPE'S RATION,MUTUAL INVESTMENT FUNDS,PERCEIVED POTENTIAL,PERCEIVED RISK,ФУНКЦИЯ ПОЛЕЗНОСТИ ИНВЕСТОРА,КУСОЧНО-ЛИНЕЙНАЯ АППРОКСИМАЦИЯ,ОЦЕНКА ИНВЕСТИЦИОННЫХ СТРАТЕГИЙ,RAPM,КОЭФФИЦИЕНТ ШАРПА,ПАЕВЫЕ ИНВЕСТИЦИОННЫЕ ФОНДЫ,ВОСПРИНИМАЕМЫЙ ПОТЕНЦИАЛ,ВОСПРИНИМАЕМЫЙ РИСК

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average