The Fundamental Theorem of Asset Pricing states - roughly speaking - that the absence of arbitrage possibilities for a stochastic process S is equivalent to the existence of an equivalent martingale measure for S. It turns out that it is quite hard to give precise and sharp versions of this...

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...

This paper deals with Esscher transforms in discrete finance models.

We extend the definition of coherent risk measures, as introduced byArtzner, Delbaen, Eber and Heath, to general probability spaces and we show how to define such measures on the space of all random variables. We also give examples that relates the theory of coherent risk measures to game theory...