Title
On LP Solvable Models for Portfolio Selection
Abstract
The Markowitz model for single period portfolio optimization quantifies the problem by means of only two criteria: the mean, representing the expected outcome, and the risk, a scalar measure of the variability of outcomes. The classical Markowitz model uses the variance as the risk measure, thus resulting in a quadratic optimization problem. Following Sharpe's work on linear approximation to the mean-variance model, many attempts have been made to linearize the portfolio optimization problem. There were introduced several alternative risk measures which are computationally attractive as (for discrete random variables) they result in solving Linear Programming (LP) problems. The LP solvability is very important for applications to real-life financial decisions where the constructed portfolios have to meet numerous side constraints and take into account transaction costs. This paper provides a systematic overview of the LP solvable models with a wide discussion of their properties.
Year
Venue
Keywords
2003
Informatica, Lith. Acad. Sci.
single period portfolio optimization,lp solvability,alternative risk measure,linear programming.,mean-variance model,risk measure,lp solvable models,classical markowitz model,mean-risk model,quadratic optimization problem,portfolio optimization problem,lp solvable model,portfolio selection,markowitz model,portfolio optimization,random variable,linear programming,transaction cost,linear program,quadratic optimization
Field
DocType
Volume
Spectral risk measure,Mathematical optimization,Random variable,Computer science,Modern portfolio theory,Portfolio,Portfolio optimization,Linear programming,Quadratic programming,Risk measure
Journal
14
Issue
ISSN
Citations 
1
0868-4952
22
PageRank 
References 
Authors
1.89
10
3
Name
Order
Citations
PageRank
Renata Mansini157443.10
Włodzimierz Ogryczak225733.92
M. Grazia Speranza366345.44