Time-inconsistency of VaR and time-consistent alternatives

被引:44
作者
Cheridito, Patrick [1 ]
Stadje, Mitja [1 ]
机构
[1] Princeton Univ, ORFE, Princeton, NJ 08544 USA
关键词
Value-at-Risk; Time-consistency; Composed Value-at-Risk; Composed average Value-at-Risk; VALUE-AT-RISK;
D O I
10.1016/j.frl.2008.10.002
中图分类号
F8 [财政、金融];
学科分类号
0202 ;
摘要
We show that VaR (Value-at-Risk) is not time-consistent and discuss examples where this can lead to dynamically inconsistent behavior. Then we propose two time-consistent alternatives to VaR. The first one is a composition of one-period VaR's. It is time-consistent but not coherent. The second one is a composition of average VaR's. It is a time-consistent coherent risk measure. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码:40 / 46
页数:7
相关论文
共 29 条
[1]   Risks and portfolio decisions involving hedge funds [J].
Agarwal, V ;
Naik, NY .
REVIEW OF FINANCIAL STUDIES, 2004, 17 (01) :63-98
[2]   A comparison of VaR and CVaR constraints on portfolio selection with the mean-variance model [J].
Alexander, GJ ;
Baptista, AM .
MANAGEMENT SCIENCE, 2004, 50 (09) :1261-1273
[3]  
[Anonymous], 2004, Contemporary Mathematics
[4]  
[Anonymous], 2005, PRINCETON SERIES FIN
[5]  
[Anonymous], J RISK
[6]   Coherent measures of risk [J].
Artzner, P ;
Delbaen, F ;
Eber, JM ;
Heath, D .
MATHEMATICAL FINANCE, 1999, 9 (03) :203-228
[7]   Coherent multiperiod risk adjusted values and Bellman's principle [J].
Artzner, Philippe ;
Delbaen, Freddy ;
Eber, Jean-Marc ;
Heath, David ;
Ku, Hyejin .
ANNALS OF OPERATIONS RESEARCH, 2007, 152 (1) :5-22
[8]   Value-at-risk-based risk management: Optimal policies and asset prices [J].
Basak, S ;
Shapiro, A .
REVIEW OF FINANCIAL STUDIES, 2001, 14 (02) :371-405
[9]  
BERKELAAR A, 2005, EUR FINANCIAL MANAGE, V8, P65
[10]   Dynamic monetary risk measures for bounded discrete-time processes [J].
Cheridito, P ;
Delbaen, F ;
Krupper, M .
ELECTRONIC JOURNAL OF PROBABILITY, 2006, 11 :57-106