It is common practice to describe the future evolution of a financial profit by a continuous-time stochastic model. A risk measure can then be viewed as a functional on a space of continuous-time stochastic processes. We extend the notions of coherent and convex risk measures to the space of...

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...