Optimal reinsurance designs based on risk measures: A review

J Cai, Y Chi - Statistical Theory and Related Fields, 2020 - Taylor & Francis
Reinsurance is an effective way for an insurance company to control its risk. How to design
an optimal reinsurance contract is not only a key topic in actuarial science, but also an …

Optimal reinsurance under VaR and CVaR risk measures: a simplified approach

Y Chi, KS Tan - ASTIN Bulletin: The Journal of the IAA, 2011 - cambridge.org
In this paper, we study two classes of optimal reinsurance models by minimizing the total risk
exposure of an insurer under the criteria of value at risk (VaR) and conditional value at risk …

Marginal indemnification function formulation for optimal reinsurance

SC Zhuang, C Weng, KS Tan, H Assa - Insurance: Mathematics and …, 2016 - Elsevier
In this paper, we propose to combine the Marginal Indemnification Function (MIF)
formulation and the Lagrangian dual method to solve optimal reinsurance model with …

Optimal reinsurance revisited–a geometric approach

KC Cheung - ASTIN Bulletin: The Journal of the IAA, 2010 - cambridge.org
In this paper, we reexamine the two optimal reinsurance problems studied in Cai et
al.(2008), in which the objectives are to find the optimal reinsurance contracts that minimize …

Optimal reinsurance minimizing the distortion risk measure under general reinsurance premium principles

W Cui, J Yang, L Wu - Insurance: Mathematics and Economics, 2013 - Elsevier
Recently the optimal reinsurance strategy concerning the insurer's risk attitude and the
reinsurance premium principle has been an interesting topic. This paper discusses the …

Optimal reinsurance with general premium principles

Y Chi, KS Tan - Insurance: Mathematics and Economics, 2013 - Elsevier
In this paper, we study two classes of optimal reinsurance models from the perspective of an
insurer by minimizing its total risk exposure under the criteria of value at risk (VaR) and …

Optimal reinsurance from the perspectives of both an insurer and a reinsurer

J Cai, C Lemieux, F Liu - ASTIN Bulletin: The Journal of the IAA, 2016 - cambridge.org
Optimal reinsurance from an insurer's point of view or from a reinsurer's point of view has
been studied extensively in the literature. However, as two parties of a reinsurance contract …

Optimal reinsurance under general law-invariant risk measures

KC Cheung, KCJ Sung, SCP Yam… - Scandinavian Actuarial …, 2014 - Taylor & Francis
In recent years, general risk measures play an important role in risk management in both
finance and insurance industry. As a consequence, there is an increasing number of …

Optimal dynamic reinsurance policies under a generalized Denneberg's absolute deviation principle

KS Tan, P Wei, W Wei, SC Zhuang - European Journal of Operational …, 2020 - Elsevier
This paper studies the optimal dynamic reinsurance policy for an insurance company whose
surplus is modeled by the diffusion approximation of the classical Cramér–Lundberg model …

[HTML][HTML] Robust and Pareto optimality of insurance contracts

AV Asimit, V Bignozzi, KC Cheung, J Hu… - European Journal of …, 2017 - Elsevier
The optimal insurance problem represents a fast growing topic that explains the most
efficient contract that an insurance player may get. The classical problem investigates the …