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arXiv 1306.5198math.PRq-fin.RM
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动态评价指标

Dynamic Assessment Indices

Tomasz R. Bielecki, Igor Cialenco, Samuel Drapeau, Martin Karliczek

摘要:

本文提供了一个统一的框架,它允许,特别是,研究结构的动态货币风险措施和动态可接受性指数。主要的数学工具,我们在这里使用,并使我们能够显着推广现有的结果是理论的$L^0$ -模块。在本文的第一部分中,我们开发的一般理论,并提供了一个强大的表示条件评估指标,并在第二部分中,我们将此理论应用于动态可接受性指标作用于随机过程。

英文摘要:

This paper provides a unified framework, which allows, in particular, to study the structure of dynamic monetary risk measures and dynamic acceptability indices. The main mathematical tool, which we use here, and which allows us to significantly generalize existing results is the theory of $L^0$-modules. In the first part of the paper we develop the general theory and provide a robust representation of conditional assessment indices, and in the second part we apply this theory to dynamic acceptability indices acting on stochastic processes.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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