该文提出了一个风险度量的新概念,即定义在任意停时τ上的Fτ-Coherent风险度量.对任一满足Fatou性质的Fτ-Coherent风险调整值度量(即一个Fτ-Coherent风险度量的负值)φτ:L^∞(F)→L^∞(Fτ),我们都可以用一个Fτ-凸概率测度集来给出它的显式表示.同时我们还证明了一个Fτ-Coherent风险调整值度量叮以用它的可接受头寸集合来表示.
The authors present in this paper a new concept of risk measure defined at an arbitrary stopping timeτ, the Fτ-coherent risk measure. For an Fτ-coherent risk adjusted value (the negative of a Fτ-coherent risk measure)φτ: L^∞(F)→L^∞(Fτ), which satisfies the Fatou property, its representation theorem is obtained by using a special Fτ-convex set of probability measures. It is also proven that an Fτ-coherent risk adjusted value can be represented by its acceptance set.