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凸风险度量下具有变分偏好的最优对冲

Optimal hedging with variational preferences under convex risk measures

Quantitative Finance · 2024
被引 0
人大 BABS 3

中文导读

提出了一个在凸风险度量下考虑变分偏好的对冲优化理论框架,研究了风险度量与效用组合的对偶表示,并推导了最优性和无差异定价条件。

Abstract

We expose a theoretical hedging optimization framework with variational preferences under convex risk measures. We explore a general dual representation for the composition between risk measures and utilities. We study the properties of the optimization problem as a convex and monotone map per se. We also derive results for optimality and indifference pricing conditions. We also explore particular examples inside our setup.

金融经济学风险管理数学优化决策理论