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...

In this paper, we discuss the solvability of backward stochastic differential equations(BSDEs) with superquadratic generators. We first prove that given a superquadraticgenerator, there exists a bounded terminal value, such that the associated BSDEdoes not admit any bounded solution. On the...