2018年1月
Maximizing and minimizing investment concentration with constraints of budget and investment risk
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
- 巻
- 490
- 号
- 開始ページ
- 986
- 終了ページ
- 993
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1016/j.physa.2017.08.088
- 出版者・発行元
- ELSEVIER SCIENCE BV
In this paper, as a first step in examining the properties of a feasible portfolio subset that is characterized by budget and risk constraints, we assess the maximum and minimum of the investment concentration using replica analysis. To do this, we apply an analytical approach of statistical mechanics. We note that the optimization problem considered in this paper is the dual problem of the portfolio optimization problem discussed in the literature, and we verify that these optimal solutions are also dual. We also present numerical experiments, in which we use the method of steepest descent that is based on Lagrange's method of undetermined multipliers, and we compare the numerical results to those obtained by replica analysis in order to assess the effectiveness of our proposed approach. (C) 2017 Published by Elsevier B.V.
- リンク情報
- ID情報
-
- DOI : 10.1016/j.physa.2017.08.088
- ISSN : 0378-4371
- eISSN : 1873-2119
- Web of Science ID : WOS:000415912900089