In a mean variance framework, we analyse risk taking in the presence of a (possibly) dependent background risk, exemplified in a linear portfolio selection problem. We first characterise the comparative statics of changes in the distribution and dependence structure of the background risk. For...

From the expected-utility approach, relative risk aversion being smaller than one and relative prudence being smaller than two emerge as preference restrictions that fully determine the optimal responses of decisions under uncertainty to certain shifts in probability distributions. We...

According to many observers, the world is currently getting riskier along many of its dimensions. In this paper we analyse how the welfare state, i.e., social insurance that works through redistributive taxation, should deal with this trend. We distinguish between risks that can be insured by...

We analyse how the welfare state, i.e., social insurance that works through redistributive taxation, should respond to increases in risks and to increases in the cost of operating the welfare state. With respect to risks, we distinguish between risks that can be insured and such that cannot...

This note provides an alternative proof for the equivalence of decreasing absolute prudence (DAP) in the expected utility framework and in a two-parametric approach where utility is a function of the mean and the standard deviation. In addition, we elucidate that the equivalence of DAP and the...

An agent with two-parameter, mean-variance preferences is called variance vulnerable if an increase in the variance of an exogenous, independent background risk induces the agent to choose a lower level of risky activities. Variance vulnerability resembles the notion of risk vulnerability in the...

This note provides an alternative proof for the equivalence of decreasing absolute prudence (DAP) in the expected utility framework and in a two-parametric approach where utility is a function of the mean and the standard deviation. In addition, we elucidate that the equivalence of DAP and the...

We call an agent skewness affine if and only if his marginal willingness to accept a risk increases when the distribution of the risk becomes more skewed to the right. Skewness affinity is shown to be equivalent to the marginal rate of substitution between mean and variance of wealth being...

In the mean–variance framework, insurance demand goes down when the expected size of insurable losses decreases or insurance premia increase if the elasticity of risk aversion with respect to expected wealth exceeds -1. In terms of the expected-utility approach, this condition is equivalent to...