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Background and Context

Portfolio Management Challenge

The global asset management industry reached $126 trillion in assets under management in 2022, making optimal portfolio construction a critical challenge.

Complex Investment Environment

Portfolio managers must handle both long-term listed securities with historical data and newly listed securities with limited trading history.

Novel Solution Approach

The study proposes an evolutionary multi-objective optimization technique incorporating both random returns for established securities and uncertain returns for new listings.

Improved Performance Across Portfolio Sizes

  • Shows how the proposed LSWOEA algorithm maintains performance as portfolio size increases
  • LSWOEA consistently outperforms other algorithms across all portfolio sizes
  • Performance gap widens with larger portfolios, demonstrating superior scalability

Algorithm Stability Comparison

  • Compares best and worst performance across different algorithms
  • LSWOEA shows more consistent performance between best and worst cases
  • Demonstrates greater reliability in real-world applications

Computational Efficiency Analysis

  • Shows computational time scaling with portfolio size
  • Maintains reasonable execution times even for 1000 securities
  • Demonstrates practical feasibility for real-world applications

Investment Strategy Performance

  • Compares performance metrics across different investment strategies
  • Shows trade-offs between return, risk, and skewness preferences
  • Demonstrates flexibility in meeting different investment objectives

Constraint Handling Effectiveness

  • Shows effectiveness of constraint handling method
  • LSWOEA maintains superior performance both before and after constraint elimination
  • Demonstrates robust handling of real-world investment constraints

Contribution and Implications

  • Provides a practical solution for managing large-scale portfolios with both established and newly listed securities
  • Demonstrates superior performance and stability compared to existing portfolio optimization approaches
  • Offers flexible implementation suitable for various investment objectives and constraints

Data Sources

  • Performance comparison chart based on Table II showing HV values across different portfolio sizes
  • Stability comparison uses data from Table II for the largest portfolio size (n=750, m=250)
  • Computational efficiency chart based on Figure 6 showing running times
  • Investment strategy performance based on Figure 3 data
  • Constraint handling effectiveness based on Figure 5 data