时间一致的动态风险过程,Cadlag修正
Time Consistent Dynamic Risk Processes, Cadlag Modification
摘要:
工作在一个连续的时间设置,我们扩展到一般情况下的动态风险措施连续从上面的最小罚函数的“上循环条件”的时间一致性的表征。我们还证明了一般时间相容动态风险测度的上鞅性质。当时间一致的动态风险测度(自上而下连续的)是正规化的和非退化的时,在较弱的条件下,我们证明了任何金融工具的动态风险过程都有cadlag修正.这个条件在从下连续的情况下总是满足的。
英文摘要:
Working in a continuous time setting, we extend to the general case of dynamic risk measures continuous from above the characterization of time consistency in terms of ``cocycle condition'' of the minimal penalty function. We prove also the supermartingale property for general time consistent dynamic risk measures. When the time consistent dynamic risk measure (continuous from above) is normalized and non degenerate, we prove, under a mild condition, that the dynamic risk process of any financial instrument has a cadlag modification. This condition is always satisfied in case of continuity from below.
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