Fitness Landscape Analysis of Prospect Theory-Based Portfolio Optimization Problem Using Loan

被引:1
作者
Tagawa, Kiyoharu [1 ]
Orito, Yukiko [2 ]
机构
[1] Kindai Univ, Dept Informat, Fac Informat, Higashiosaka, Osaka, Japan
[2] Tamagawa Univ, Dept Management Sci, Coll Engn, Machida, Tokyo, Japan
来源
2023 62ND ANNUAL CONFERENCE OF THE SOCIETY OF INSTRUMENT AND CONTROL ENGINEERS, SICE | 2023年
关键词
portfolio optimization problem; prospect theory; landscape analysis; convex-hull mapping;
D O I
10.23919/SICE59929.2023.10354104
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Portfolio optimization is the process of determining the best proportion of investment in different assets to maximize the profit. In the portfolio optimization problem using loan, the borrowed money can be invested in risk assets. In this paper, in order to reflect investor preferences, or values, in the portfolio with loan, the conventional formulation of the portfolio optimization problem is modified based on prospect theory. Then, in order to have an in-depth understanding of the features of the new portfolio optimization problem using loan, a fitness landscape analysis method using the convex-hull mapping is proposed. The results of the fitness landscape analysis reveal the trade-off between profits and values.
引用
收藏
页码:878 / 883
页数:6
相关论文
共 18 条
[1]   Thirty Years of Prospect Theory in Economics: A Review and Assessment [J].
Barberis, Nicholas C. .
JOURNAL OF ECONOMIC PERSPECTIVES, 2013, 27 (01) :173-195
[2]   Heuristics for cardinality constrained portfolio optimisation [J].
Chang, TJ ;
Meade, N ;
Beasley, JE ;
Sharaiha, YM .
COMPUTERS & OPERATIONS RESEARCH, 2000, 27 (13) :1271-1302
[3]  
Elton E.J., 2009, Modern portfolio theory and investment analysis, Veighth
[4]   EFFICIENT CAPITAL MARKETS - REVIEW OF THEORY AND EMPIRICAL WORK [J].
FAMA, EF .
JOURNAL OF FINANCE, 1970, 25 (02) :383-423
[5]   Constrained Portfolio Selection using Particle Swarm Optimization [J].
Golmakani, Hamid Reza ;
Fazel, Mehrshad .
EXPERT SYSTEMS WITH APPLICATIONS, 2011, 38 (07) :8327-8335
[6]   A New Method of Portfolio Optimization Under Cumulative Prospect Theory [J].
Gong, Chao ;
Xu, Chunhui ;
Ando, Masakazu ;
Xi, Xiangming .
TSINGHUA SCIENCE AND TECHNOLOGY, 2018, 23 (01) :75-86
[7]   Portfolio Choice Under Cumulative Prospect Theory: An Analytical Treatment [J].
He, Xue Dong ;
Zhou, Xun Yu .
MANAGEMENT SCIENCE, 2011, 57 (02) :315-331
[8]   Trimability and fast optimization of long-short portfolios [J].
Jacobs, BI ;
Levy, KN ;
Markowitz, HM .
FINANCIAL ANALYSTS JOURNAL, 2006, 62 (02) :36-46
[9]   PROSPECT THEORY - ANALYSIS OF DECISION UNDER RISK [J].
KAHNEMAN, D ;
TVERSKY, A .
ECONOMETRICA, 1979, 47 (02) :263-291
[10]   A STOCHASTIC-PROGRAMMING MODEL [J].
KATAOKA, S .
ECONOMETRICA, 1963, 31 (1-2) :181-196