In standard portfolio theories such as Mean-Variance optimization, expected utility theory, rank dependent utility heory, Yaari's dual theory and cumulative prospect theory, the worst outcomes for optimal strategies occur when the market declines (e.g. during crises), which is at odds with the...

In this paper, we study the fair fee of a flexible premium variable annuity (FPVA), in which the policyholder can choose to pay periodic premiums during the accumulation phase instead of a single initial premium. We are able to express fair fees using a fast and accurate approximation based on...

In this paper, we derive upper and lower bounds on the Range Value-at-Risk of the portfolio loss when we only know its mean and variance, and its feature of unimodality. In a first step, we use some classic results on stochastic ordering to reduce this optimization problem to a parametric one,...

In this paper, we give an explicit representation of the lowest cost strategy (or "cost-efficient" strategy) to achieve a given payoff distribution. For any inefficient strategy, we are able to construct financial derivatives which dominate in the sense of first-order or second-order stochastic...

In this paper we propose a robust assessment for the net premium of a standard lifeinsurance contract with respect to the uncertainty on the estimated residual lifetimedistribution function. Specifically, we provide a method to derive the range of valuesthat the net premium of a given contract...

In Section 2 of Bernard et al. (2020), we study bounds on Range Value-at-Risk (RVaR) under the assumption of non-negative risk. However, Proposition 3 is erroneous, and hence Theorems 3, 4, and 5 and Corollary 5 are no longer valid. In this corrigendum, we provide a direct replacement of these...

The assessment of portfolio risk is often explicitly (e.g., the square root formula under Basel III) or implicitly (e.g., credit risk portfolio models) driven by the marginal distributions of the risky components and the correlations amongst them. We assess the extent by which such practice is...