We find evidence consistent with risk mispricing in the eurozone sovereign credit market for crisis and non-crisis countries alike, using a novel variable of sovereign debt expansion (DE) that we construct. DE predicts increased default probability, but panel regressions from 2002 to 2017 show a negative association with risk premia, even when controlling for risk appetite and the known determinants of sovereign risk premia. As expected, the negative association was only briefly interrupted by the 2010 Deauville Summit, but it resumed by the onset of the 2011 eurozone crisis. The introduction of quantitative easing in 2015 mutes the negative association, raising the concern of what will happen once quantitative easing ends. Our finding is robust to several model specifications.

Modern insurance products are becoming increasingly complex, offering various guarantees, surrender options and bonus provisions. A case in point are the with-profits insurance policies offered by UK insurers. While these policies have been offered in some form for centuries, in recent years their structure and management have become substantially more involved. The products are particularly complicated due to the wide discretion they afford insurers in determining the bonuses policyholders receive. In this paper, we study the problem of an insurance firm attempting to structure the portfolio underlying its with-profits fund. The resulting optimization problem, a non-linear program with stochastic variables, is presented in detail. Numerical results show how the model can be used to analyze the alternatives available to the insurer, such as different bonus policies and reserving methods.