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Particle Swarm Optimisation Approach in the Construction of Optimal Risky Portfolios

Graham Kendall and Yan Su

Abstract

In this paper, we apply particle swarm optimisation to the construction of optimal risky portfolios for financial investments. Constructing an optimal risky portfolio is a high-dimensional constrained optimisation problem where financial investors look for an optimal combination of their investments among different financial assets with the aim of achieving a maximum reward-to-variability ratio. A particle swarm solver is developed and tested on various restricted and unrestricted risky investment portfolios. The particle swarm solver demonstrates high computational efficiency in constructing optimal risky portfolios of less than fifteen assets. The effectiveness of a weighting function in the particle swarm optimisation algorithm is also studied.

Book Title
Proceedings of the 23rd IASTED (International Association of Science and Technology for Development) International Conference on Artificial Intelligence and Applications
How Published
In Proceedings of the 23rd IASTED International Multi−Conference Artificial Intelligence and Applications
Keywords
Particle Swarm Optimisation‚ Stock Market‚ Portfolio Management‚ Optimal Risky Portfolio
Pages
140−145
Year
2005