TY - JOUR
T1 - Pareto-optimal insurance contracts with premium budget and minimum charge constraints
AU - Asimit, Alexandru V.
AU - Cheung, Ka Chun
AU - Chong, Wing Fung
AU - Hu, Junlei
PY - 2020/11
Y1 - 2020/11
N2 - In view of the fact that minimum charge and premium budget constraints are natural economic considerations in any risk-transfer between the insurance buyer and seller, this paper revisits the optimal insurance contract design problem in terms of Pareto optimality with imposing these practical constraints. Pareto optimal insurance contracts, with indemnity schedule and premium payment, are solved in the cases when the risk preferences of the buyer and seller are given by Value-at-Risk or Tail Value-at-Risk. The effect of our constraints and the relative bargaining powers of the buyer and seller on the Pareto optimal insurance contracts are highlighted. Numerical experiments are employed to further examine these effects for some given risk preferences.
AB - In view of the fact that minimum charge and premium budget constraints are natural economic considerations in any risk-transfer between the insurance buyer and seller, this paper revisits the optimal insurance contract design problem in terms of Pareto optimality with imposing these practical constraints. Pareto optimal insurance contracts, with indemnity schedule and premium payment, are solved in the cases when the risk preferences of the buyer and seller are given by Value-at-Risk or Tail Value-at-Risk. The effect of our constraints and the relative bargaining powers of the buyer and seller on the Pareto optimal insurance contracts are highlighted. Numerical experiments are employed to further examine these effects for some given risk preferences.
U2 - 10.1016/j.insmatheco.2020.08.001
DO - 10.1016/j.insmatheco.2020.08.001
M3 - Article
SN - 0167-6687
VL - 95
SP - 17
EP - 27
JO - Insurance: Mathematics and Economics
JF - Insurance: Mathematics and Economics
ER -