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Portfolio Mean-Variance Approach Modifications:Modulus Function, Principles of Compromise, and ‘Min–Max’ Approach


Affiliations
1 Novosibirsk State Technical University, Russian Federation
2 Novosibirsk State University of Economics and Management, Russian Federation
 

We offer a variant for the problem of portfolio selection, based on the modification of quadratic function. It reduces overestimation of expected returns that arise from large deviations of the market condition. Further, we examine the modified ‘min–max’ approach to portfolio structure. We obtain analytical expressions to solve the portfolio selection model for a few cases. Finally, we offer certain compromise principles between criterial values of the expected return/risk.

Keywords

Mean-Variance, ‘Min–Max’ Approach, Modern Portfolio Theory, Portfolio Selection.
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  • Portfolio Mean-Variance Approach Modifications:Modulus Function, Principles of Compromise, and ‘Min–Max’ Approach

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Authors

Alexey Karpovich
Novosibirsk State Technical University, Russian Federation
Alexander Rymanov
Novosibirsk State University of Economics and Management, Russian Federation

Abstract


We offer a variant for the problem of portfolio selection, based on the modification of quadratic function. It reduces overestimation of expected returns that arise from large deviations of the market condition. Further, we examine the modified ‘min–max’ approach to portfolio structure. We obtain analytical expressions to solve the portfolio selection model for a few cases. Finally, we offer certain compromise principles between criterial values of the expected return/risk.

Keywords


Mean-Variance, ‘Min–Max’ Approach, Modern Portfolio Theory, Portfolio Selection.

References





DOI: https://doi.org/10.18520/cs%2Fv115%2Fi3%2F493-498