Title
Stochastic portfolio optimization with proportional transaction costs: Convex reformulations and computational experiments.
Abstract
We propose a probabilistic version of the Markowitz portfolio problem with proportional transaction costs. We derive equivalent convex reformulations, and analyze their computational efficiency for solving large (up to 2000 securities) portfolio problems. There is a great disparity in the solution times. The time differential between formulations can reach several orders of magnitude for the largest instances. The second-order cone formulation in which the number of quadratic terms is invariant to the number of assets is the most efficient.
Year
DOI
Venue
2012
10.1016/j.orl.2012.01.003
Operations Research Letters
Keywords
Field
DocType
Stochastic portfolio optimization,Probabilistic Markowitz,Transaction costs,Stochastic programming,Estimation risk
Transaction cost,Mathematical optimization,Quadratic equation,Regular polygon,Portfolio,Portfolio optimization,Invariant (mathematics),Probabilistic logic,Stochastic programming,Mathematics
Journal
Volume
Issue
ISSN
40
3
0167-6377
Citations 
PageRank 
References 
9
0.57
7
Authors
2
Name
Order
Citations
PageRank
Tiago Pascoal Filomena1272.41
Miguel A. Lejeune225321.95