A NAÏVE APPROACH TO SPEED UP PORTFOLIO OPTIMIZATION PROBLEM USING A MULTIOBJECTIVE GENETIC ALGORITHM

Autor: Baixauli-Soler, J. Samuel, Alfaro-Cid, Eva, Fernández-Blanco, Matilde O.
Jazyk: English<br />Spanish; Castilian
Rok vydání: 2012
Předmět:
Zdroj: Investigaciones Europeas de Dirección y Economía de la Empresa, Vol 18, Iss 2, Pp 126-131 (2012)
Druh dokumentu: article
ISSN: 1135-2523
DOI: 10.1016/S1135-2523(12)70002-3
Popis: Genetic algorithms (GAs) are appropriate when investors have the objective of obtaining mean‑variance (VaR) efficient frontier as minimising VaR leads to non‑convex and non‑differential risk‑return optimisation problems. However GAs are a time‑consuming optimisation technique. In this paper, we propose to use a naïve approach consisting of using samples split by quartile of risk to obtain complete efficient frontiers in a reasonable computation time. Our results show that using reduced problems which only consider a quartile of the assets allow us to explore the efficient frontier for a large range of risk values. In particular, the third quartile allows us to obtain efficient frontiers from the 1.8% to 2.5% level of VaR quickly, while that of the first quartile of assets is from 1% to 1.3% level of VaR.
Databáze: Directory of Open Access Journals