Optimal reinsurance under VaR and CTE risk measures

J Cai, KS Tan, C Weng, Y Zhang - Insurance: mathematics and Economics, 2008 - Elsevier
Let X denote the loss initially assumed by an insurer. In a reinsurance design, the insurer
cedes part of its loss, say f (X), to a reinsurer, and thus the insurer retains a loss If (X)= X− f …

Benchmark and mean-variance problems for insurers

N Bäuerle - Mathematical Methods of Operations Research, 2005 - Springer
We consider the classical Cramér-Lundberg model with dynamic proportional reinsurance
and solve the problem of finding the optimal reinsurance strategy which minimizes the …

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 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 reinsurance under convex principles of premium calculation

M Kaluszka - Insurance: Mathematics and Economics, 2005 - Elsevier
Suppose an insurer wants to have a reinsurance contract minimizing a convex measure of
his retained risk or maximizing a utility function. Suppose the reinsurer's premium is fixed …

Optimality of general reinsurance contracts under CTE risk measure

KS Tan, C Weng, Y Zhang - Insurance: Mathematics and Economics, 2011 - Elsevier
By formulating a constrained optimization model, we address the problem of optimal
reinsurance design using the criterion of minimizing the conditional tail expectation (CTE) …

An extension of Arrow's result on optimal reinsurance contract

M Kaluszka, A Okolewski - Journal of Risk and Insurance, 2008 - Wiley Online Library
We consider the problem of finding reinsurance policies that maximize the expected utility,
the stability and the survival probability of the cedent for a fixed reinsurance premium …

Behavioral optimal insurance

KCJ Sung, SCP Yam, SP Yung, JH Zhou - Insurance: Mathematics and …, 2011 - Elsevier
The present work studies the optimal insurance policy offered by an insurer adopting a
proportional premium principle to an insured whose decision-making behavior is modeled …

The optimal insurance under disappointment theories

KC Cheung, WF Chong, SCP Yam - Insurance: Mathematics and …, 2015 - Elsevier
In his celebrated work, Arrow (1974) was the first to discover the optimality of deductible
insurance under the Expected Utility Theory; recently, Kaluszka and Okolewski (2008) …