
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