General risk functions are becoming very important in finance and insurance. Many risk functions are interpreted as initial capital requirements that a manager must add and invest in a risk-free security in order to protect his clients wealth. Nevertheless, until now it has not been proved that...

This paper proposes a robust approach to hedging and pricing in the presence of market imperfections such as market incompleteness and frictions. The generality of this framework allows us to conduct an in-depth theoretical analysis of hedging strategies for a wide family of risk measures and...

This paper proposes a model-free approach to hedging and pricing in the presence of market imperfections such as market incompleteness and frictions. The generality of this framework allows us to conduct an in-depth theoretical analysis of hedging strategies with a wide family of risk measures...

We propose new Unconditional, Independence and Conditional Coverage VaR-forecast backtests for the case of annuity pricing under a Bayesian framework that significantly minimise the direct and indirect effects of $p$-hacking or other biased outcomes in decision-making, in general. As a...

Pareto optimal allocations and optimal risk sharing for coherent or convex risk measures as well as for insurance prices have been studied widely in the literature. In particular, Pareto optimal allocations have been characterized by applying inf-convolution of risk measures and convex...

Quite recently, a great interest has been devoted to time-consistency of risk measures in its different formulations (see Delbaen, Follmer and Penner, Bion-Nadal, Delbaen et al., Laeven and Stadje, among many others). However, almost all the papers address to coherent or convex risk measures...

Historical VaR, CVaR and ES (Expected Shortfall) to LIQUIDATION Software is a model characterized by its straightforwardness, allowing regulators measure risk using a standard database of primitive factors and portfolio positions only, leaving little error margin in comparing market risk for...

We study a concept of dynamic leverage which is a risk measure generalizing traditional value at risk type measures. This measure is suited for hedge funds and can be applied to quantify risk in a fund of hedge funds. Dynamic leverage depends on the level of fund volatility, time horizon and...

The Pension Bene fit Guaranty Corporation (PBGC) registers a preoccupying financial condition since 2002. This paper builds a theoretical framework for defi ning its optimal asset allocation in a continuous-time stochastic world. We first recognize the PBGC 's put seller nature and derive...

This paper presents a new transform-based approach for path-independent lattice construction for pricing American options under low-dimensional stochastic volatility models. We derive multidimensional transforms which allow us to construct efficient path-independent lattices for virtually all...