We examine the ingredients of Solvency II, namely its free capital, provision and solvency capital requirement. They are of course linked by the accounting equality but we claim that they should be more deeply related to each other since solvency naturally should require positivity of available...

We present and compare two dierent approaches to conditional riskmeasures. One approach draws from convex analysis in vector spaces andpresents risk measures as functions on Lp spaces, while the other approachutilizes module-based convex analysis where conditional risk measures aredened on Lp...