Portfolio optimization problem with nonidentical variances of asset returns using statistical mechanical informatics.
other · Level V
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- Record sourced from PubMed, PMID 28085449.
- Also identified by DOI 10.1103/PhysRevE.94.062102.
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Abstract
The portfolio optimization problem in which the variances of the return rates of assets are not identical is analyzed in this paper using the methodology of statistical mechanical informatics, specifically, replica analysis. We defined two characteristic quantities of an optimal portfolio, namely, minimal investment risk and investment concentration, in order to solve the portfolio optimization problem and analytically determined their asymptotical behaviors using replica analysis. Numerical experiments were also performed, and a comparison between the results of our simulation and those obtained via replica analysis validated our proposed method.