Tail Mean-Variance (TMV) has emerged from the actuarial community as a criterion for risk management and portfolio selection, with a focus on extreme losses. The existing literature on portfolio optimization under the TMV criterion relies on the plug-in approach that substitutes the unknown mean...

A computationally appealing methodology for the valuation of large variable annuities portfolios is a metamodelling framework that evaluates a small set of representative contracts, fits a predictive model based on these computed values, and then extrapolates the model to estimate the values of...

Purpose – The purpose of this paper is to analyze the optimal reinsurance contract structure from the crop insurer's perspective. Design/methodology/approach – A very powerful and flexible empirical‐based reinsurance model is used to analyze the optimal form of the reinsurance treaty. The...

Recently a new multiple dimensional stochastic order named correlation order was proposed to examine how the dependence among the individual risks effects riskness of the portfolios. This paper aims to discuss the relationship between correlation order and the supermodular order in general....

Purpose – The purpose of this paper is to analyze the optimal reinsurance contract structure from the crop insurer's perspective. Design/methodology/approach – A very powerful and flexible empirical-based reinsurance model is used to analyze the optimal form of the reinsurance treaty. The...

The constant proportion portfolio insurance is analyzed by assuming that the risky asset price follows a regime switching exponential Lévy process. Analytical forms of the shortfall probability, expected shortfall and expected gain are derived. The characteristic function of the gap risk is...

The multivariate regular variation (MRV) is one of the most important tools in modeling multivariate heavy-tailed phenomena. This paper characterizes the MRV distributions through the tail dependence function of the copula associated with them. Along with some existing results, our studies...

By formulating a constrained optimization model, we address the problem of optimal reinsurance design using the criterion of minimizing the conditional tail expectation (CTE) risk measure of the insurer's total risk. For completeness, we analyze the optimal reinsurance model under both binding...

Consider the problem of approximating the tail probability of randomly weighted sums and their maxima, where {Xi,i=1} is a sequence of identically distributed but not necessarily independent random variables from the extended regular variation class, and {[Theta]i,i=1} is a sequence of...