Title
Worst-Case Conditional Value-at-Risk with Application to Robust Portfolio Management
Abstract
This paper considers the worst-case Conditional Value-at-Risk (CVaR) in the situation where only partial information on the underlying probability distribution is available. The minimization of the worst-case CVaR under mixture distribution uncertainty, box uncertainty, and ellipsoidal uncertainty are investigated. The application of the worst-case CVaR to robust portfolio optimization is proposed, and the corresponding problems are cast as linear programs and second-order cone programs that can be solved efficiently. Market data simulation and Monte Carlo simulation examples are presented to illustrate the proposed approach.
Year
DOI
Venue
2009
10.1287/opre.1080.0684
Operations Research
Keywords
Field
DocType
corresponding problem,market data simulation,worst-case conditional value-at-risk,monte carlo simulation example,underlying probability distribution,ellipsoidal uncertainty,robust portfolio management,box uncertainty,mixture distribution uncertainty,worst-case cvar,risk management,linear program,mixture distribution,conditional value at risk,monte carlo simulation,probability distribution,portfolio management,portfolio optimization,robust optimization,correspondence problem
Mixture distribution,Monte Carlo method,Mathematical optimization,Project portfolio management,Portfolio optimization,Probability distribution,Linear programming,Operations management,Mathematics,Expected shortfall,CVAR
Journal
Volume
Issue
ISSN
57
5
0030-364X
Citations 
PageRank 
References 
94
4.62
10
Authors
2
Name
Order
Citations
PageRank
Shushang Zhu124413.07
Masao Fukushima22050172.73