Abstract
If the random future evolution of values is modelled in continuous time, then a risk measure can be viewed as a functional on a space of continuous-time stochastic processes. We extend the notions of coherent and convex monetary risk measures to the space of bounded càdlàg processes that are adapted to a given filtration. Then, we prove representation results that generalize earlier results for one- and multi-period risk measures, and we discuss some examples.
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