In this paper, we detail the main simulation methods used in practice to measure one-year reserve risk, and describe the bootstrap method providing an empirical distribution of the Claims Development Result (CDR) whose variance is identical to the closed-form expression of the prediction error...

We consider the classical risk model and carry out a sensitivity and robustness analysis of finite-time ruin probabilities. We provide algorithms to compute the related influence functions. We also prove the weak convergence of a sequence of empirical finite-time ruin probabilities starting from...

The classical risk model is considered and a sensitivity analysis of finite-time ruin probabilities is carried out. We prove the weak convergence of a sequence of empirical finite-time ruin probabilities. So-called partly shifted risk processes are introduced, and used to derive an explicit...

This paper is concerned with the problem of ruin in the classical compound binomial and compound Poisson risk models. Our primary purpose is to extend to those models an exact formula derived by Picard and Lefèvre (1997) for the probability of (non-)ruin within finite time. First, a standard...

We propose an effective equity model adapted for medium term and long term risk assessment. One of its specific aspects is to allow an asymetrical dampening of the equity risk (called the dampener effect) conditional to the cyclical level of equity prices and to enable accurate Value At Risk...

The implementation of the Own Risk and Solvency Assessment is a critical issue raised by Pillar II of Solvency II framework. In particular the Overall Solvency Needs calculation left the Insurance companies to define an optimal entity-specific solvency constraint on a multi-year time horizon. In...

The one-year prediction error (one-year MSEP) proposed by Merz and Wüthrich has become a market-standard approach for the assessment of reserve volatilities for Solvency II purposes. However, this approach is declined in a univariate framework. Moreover, Braun proposed a closed-formed...

Within the Own Risk and Solvency Assessment framework, the Solvency II directive introduces the need for insurance undertakings to have efficient tools enabling the companies to assess the continuous compliance with regulatory solvency requirements. Because of the great operational complexity...

The advent of the Internal Model Approval Process within Solvency II and the desirability of many insurance companies to gain approval has increased the importance of some topics such as risk aggregation in determining overall economic capital level. The most widely used approach for aggregating...

The experience of the 2007-09 financial crisis has showed that the bank capital regulation in place was inadequate to deal with "manufacturing" tail risk in the financial sector. This paper proposes an incentive-based design of bank capital regulation aimed at efficiently dealing with tail risk...