Comparative study of the behavior of the effective boundary of minimal risk portfolio in the conditions of hybrid uncertainty, depending on the restrictions on the profitability of the portfolio
Abstract:
The paper studies the effective boundary of the minimum risk portfolio in the conditions of hybrid uncertainty. For the case of a two-dimensional portfolio, with a restriction on the expected return of the portfolio and a restriction on possibility/necessity and probability on the return of the portfolio, quasi-effective portfolio boundaries are constructed depending on the probability level. The results of numerical experiments are consistent with the theoretical results previously obtained by the authors.
Keywords:portfolio of minimal risk, probability-probabilistic optimization, constraints on possibility/necessity and probability, constraints on probability and possibility/necessity, equivalent deterministic analog, equivalent stochastic analog, fuzzy random variable, the strongest $t$ - norm.