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...

We propose a measure for systemic risk: CoVaR, the value at risk (VaR) of financial institutions conditional on other institutions being in distress. We define an institution's (marginal) contribution to systemic risk as the difference between CoVaR and the financial system's VaR. From our...

We investigate the accuracy of ex ante assessments of vulnerability to income poverty using cross-sectional data and panel data. We use long-term panel data from Germany and apply different regression models, based on household covariates and previous-year equivalence income, to classify a...

Any measure of unobserved inflation uncertainty relies on specific assumptions which are most likely not fulfilled completely. This calls into question whether an individual measure delivers a reliable signal. To reduce idiosyncratic measurement error, we propose using common information...