Solvency Capital Estimation and Risk Measures

Solvency capital, risk measures and comonotonicity: a review

In this paper we examine and summarize properties of several well-known risk measures that can be used in the framework of setting solvency capital requirements for a risky business. Special attention is given to the class of (concave) distortion risk measures. We investigate the relationship between these risk measures and theories of choice under risk. Furthermore we consider the problem of h...

Compositions of Conditional Risk Measures and Solvency Capital

Abstract: In this paper, we consider compositions of conditional risk measures in order to obtain time-consistent dynamic risk measures and determine the solvency capital of a life insurer selling pension liabilities or a pension fund with a single cash-flow at maturity. We first recall the notion of conditional, dynamic and time-consistent risk measures. We link the latter with its iterated pr...

Restricted Coherent Risk Measures and Actuarial Solvency

Risk-Based Capital and Solvency Screening: Hypotheses and Empirical Tests

This paper is a substantially revised and extended version of a preliminary paper presented at the 1993 ARIA Meeting in San Francisco. This research was funded in part by the National Association of Insurance Commissioners. The conclusions expressed here are the authors' and do not necessarily reflect the opinion of the National Association of Insurance Commissioners. Introduction The National ...

Underestimation of the solvency capital and risk measurements

This paper examines why a financial entity’s solvency capital estimation might be underestimated if the total amount required is obtained directly from a risk measurement. Using Monte Carlo simulation we show that, in some instances, a common risk measure such as Value-at-Risk is not subadditive when certain dependence structures are considered. Higher risk evaluations are obtained for independ...