Title
VNS approach for solving a financial portfolio design problem.
Abstract
This paper introduces a VNS based local search for solving efficiently a financial portfolio design problem which affects assets to portfolios, subject to a compromise between maximizing gains and minimizing losses. This practical problem appears in financial engineering, such as in the design of CDO-squared portfolios. This problem has been modeled by Flener et al. who proposed an exact method to solve it. We propose a matricial model showing that the problem can be formulated as a quadratic program on the 0-1 domain. It is well known that exact solving approaches on large instances of quadratic integer programs are known to be costly. Thus it is a challenging problem for local search methods which have not been already investigated. The matricial 0-1 model of the problem enables to specialize VNS algorithm by taking into account the particular structure of the considered financial problem. First experimentations show that VNS with simulated annealing is effective on non-trivial instances of the problem.
Year
DOI
Venue
2015
10.1016/j.endm.2014.11.017
Electronic Notes in Discrete Mathematics
Keywords
Field
DocType
Financial portfolio design,Variable Neighborhood Search,Simulated annealing,IDWalk,Tabu Search
Simulated annealing,Mathematical optimization,Variable neighborhood search,Quadratic equation,Portfolio,Local search (optimization),Quadratic programming,Finance,Financial engineering,Mathematics,Tabu search
Journal
Volume
ISSN
Citations 
47
1571-0653
0
PageRank 
References 
Authors
0.34
2
2
Name
Order
Citations
PageRank
Fatima Zohra Lebbah100.68
Yahia Lebbah211519.34