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Ranking of optimal stock portfolios determined on the basis of expected utility maximization criterion

100%
Giemza D.
Journal of Economics and Management
|
2021
|
vol. 43
157-178
EN
Aim/purpose – The aim of the paper is to rank the optimal portfolios of shares of companies listed on the Warsaw Stock Exchange, taking into account the investor’s propensity to risk. Design/methodology/approach – Investment portfolios consisting of varied number of companies selected from WIG 20 index were built. Next, the weights of equity holdings of these companies in the entire portfolio were determined, maximizing portfolio’s expected (square) utility function, and then the obtained structures were compared between investors with various levels of risk propensity. Using Hellwig’s taxonomic development measure, a ranking of optimum stock portfolios depending on the investor’s risk propensity was prepared. The research analyzed quotations from 248 trading sessions. Findings – The findings indicated that whilst there are differences in the weight structures of equity holdings in the entire portfolio between the investor characterized by aversion to risk at the level of γ = 10 and the investor characterized by aversion to risk at the level of γ = 100, the rankings of the constructed optimum portfolios demonstrate strong similarity. The study validated, in conformity with the literature, that with the increase in the number of equity holdings in the portfolio, the portfolio risk initially decreases and then becomes stable at a certain level. Research implications/limitations – The study used data from the past as for which there is no guarantee that they will be adequate for the future. There is sensitivity to the selection of the period from which the historic data come. When changing the period of the analyzed historic data by a small time unit it may prove that the portfolio composition will become totally different. Originality/value/contribution – The paper compares the composition of optimum stock portfolios depending on the investor’s propensity to risk. Their ranking was created using the taxonomic method for this purpose. Taking advantage of this method also additional variables can be taken into account, which describe and differentiate the portfolio and they can be assigned relevant significance depending on the investor’s preferences.
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Wartość zagrożona portfela inwestycyjnego szacowana na podstawie danych wysokiej częstotliwości − badania empiryczne

86%
Iskra D., Czernik T.
Studia Ekonomiczne
|
2015
|
vol. 221
32-49
PL
W opracowaniu zaprezentowano wyniki szacowania wartości zagrożonej spółek oraz optymalnych portfeli inwestycyjnych. Badania przeprowadzono na minutowych notowaniach spółek wchodzących w skład indeksu S&P100. W symulacjach uwzględniono dwa podejścia konstrukcji empirycznych rozkładów logarytmicznej stopy zwrotu użytych do wyznaczania wartości zagrożonej. W pierwszym z nich rozpatrywany szereg zawierał kolejne notowania cen akcji. W podejściu drugim w konstrukcji rozkładów empirycznych dokonano podziału dni na części i wyznaczano rozkład na podstawie danych z wybranych części dnia sesyjnego (np. z jednej godziny) z kilku, kilkunastu dni. W wyniku przeprowadzonych badań wykazano, iż w pewnych przypadkach (użyte podejście, zakres parametrów) zgodność oszacowanej wartości zagrożonej z realnymi stratami była wysoka.
EN
Paper presents results of estimating Value at Risk for stocks and the optimal investment portfolios. Study was conducted at the minute quotations of companies included in the S&P100 index. The simulations included two design approaches of empirical distributions of the logarithmic rate of return used to determine the value at risk. The first one takes into account consecutive price quotations. In the second price quotations were divided into empirical distributions days were divided into six groups (quotations which come from time interval e.g. 10 am-11 am from each consecutive day were transferred to the same data set). The research has shown that in certain cases the accuracy of the estimated value at risk of real loss was high.
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