We extend the definition of a convex risk measure to a conditional framework where additional information is available. We characterize these risk measures through the associated acceptance sets and prove a representation result in terms of conditional expectations. As an example we consider the...

A simple and commonly used method to approximate the total claim distribution of a (possible weakly dependent) insurance collective is the normal approximation. In this article, we investigate the error made when the normal approximation is plugged in a fairly general distribution-invariant risk...

Concomitant to the analysis of poverty is the measurement of vulnerability. Estimates of household vulnerability to income poverty are developed using a modified probit model that considers volatilities in income as being explained by some household characteristics. Resulting vulnerability...

The paper provides an axiomatic characterization of dynamic risk measures for multi-period financial positions. For the special case of a terminal cash flow, we require that risk depends on its conditional distribution only. We prove a representation theorem for dynamic risk measures and...

Traditional poverty measures neglect several important dimensions of household welfare. In this paper we construct a measure of ‘vulnerability’ which allows us to quantify the welfare loss associated with poverty as well as the loss associated with any of a variety of different sources of...