Risk measures and insurance premium principles

被引:35
作者
Landsman, Z
Sherris, M [1 ]
机构
[1] Univ New S Wales, Fac Commerce & Econ, Sydney, NSW 2052, Australia
[2] Univ Haifa, Dept Stat, IL-31999 Haifa, Israel
关键词
risk measure; distortion function; premium principles; diversification;
D O I
10.1016/S0167-6687(01)00076-2
中图分类号
F [经济];
学科分类号
02 ;
摘要
Risk measures based on distorted probabilities have been recently developed in actuarial science and applied to insurance rate making. We propose a risk measure that has the properties of risk aversion and diversification, is additive for losses and consistent in its treatment of insurance and investment risks. We show that the risk measure based on distorted probabilities is not consistent in its ordering of insurance and investment risks. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:103 / 115
页数:13
相关论文
共 12 条
[1]  
DAVID HA, 1981, ORDER STAT
[2]  
Gerber H.U., 1998, N AM ACTUAR J, V2, P74, DOI [DOI 10.1080/10920277.1998.10595728, 10.1080/10920277.1998.10595728]
[3]  
Goovaerts M.J., 1994, ORDERING ACTUARIAL R
[4]  
Goovaerts MJ., 1984, INSURANCE PREMIUMS T
[5]  
Loeve M., 1977, Probability theory I, V4th ed
[6]  
Neumann J.V., 1953, Theory of games and economic behavior
[7]  
PANJER HH, 1998, FINANCIAL EC APPL IN
[8]   REINSURANCE IN ARBITRAGE-FREE MARKETS [J].
SONDERMANN, D .
INSURANCE MATHEMATICS & ECONOMICS, 1991, 10 (03) :191-202
[9]  
WANG S, 1995, INSUR MATH ECON, V17, P43, DOI 10.1016/0167-6687(95)91054-P
[10]  
WANG S, 1997, 9708 IIPR U WAT