Multiobjective evolutionary algorithms for complex portfolio optimization problems |
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Authors: | Konstantinos P Anagnostopoulos Georgios Mamanis |
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Institution: | 1. Department of Production and Management Engineering, Democritus University of Thrace, Xanthi, Greece
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Abstract: | This paper investigates the ability of Multiobjective Evolutionary Algorithms (MOEAs), namely the Non-dominated Sorting Genetic
Algorithm II (NSGA-II), Pareto Envelope-based Selection Algorithm (PESA) and Strength Pareto Evolutionary Algorithm 2 (SPEA2),
for solving complex portfolio optimization problems. The portfolio optimization problem is a typical bi-objective optimization
problem with objectives the reward that should be maximized and the risk that should be minimized. While reward is commonly
measured by the portfolio’s expected return, various risk measures have been proposed that try to better reflect a portfolio’s
riskiness or to simplify the problem to be solved with exact optimization techniques efficiently. However, some risk measures
generate additional complexities, since they are non-convex, non-differentiable functions. In addition, constraints imposed
by the practitioners introduce further difficulties since they transform the search space into a non-convex region. The results
show that MOEAs, in general, are efficient and reliable strategies for this kind of problems, and their performance is independent
of the risk function used. |
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Keywords: | |
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