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arXiv 2103.05453q-fin.CPcs.CEecon.EMmath.OC
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基于Shapley值的投资组合风险分配

Portfolio risk allocation through Shapley value

Patrick S. Hagan, Andrew Lesniewski, Georgios E. Skoufis, Diana E. Woodward

摘要:

我们认为,使用合作博弈理论的Shapley值作为非正交风险因素之间的风险分配方案是一种自然的方式来解释每个这样的因素对整体投资组合风险的贡献。我们讨论了一个Shapley值计划分配风险的非正交希腊的衍生品投资组合。例如,当使用随机波动率模型来捕捉期权波动率微笑时,就会出现这种情况。我们还表明,Shapley值允许一个自然的方法来解释企业风险度量的组成部分,如VaR和ES。对于所有讨论的应用程序,我们推导出明确的公式和/或数值算法来计算分配。

英文摘要:

We argue that using the Shapley value of cooperative game theory as the scheme for risk allocation among non-orthogonal risk factors is a natural way of interpreting the contribution made by each of such factors to overall portfolio risk. We discuss a Shapley value scheme for allocating risk to non-orthogonal greeks in a portfolio of derivatives. Such a situation arises, for example, when using a stochastic volatility model to capture option volatility smile. We also show that Shapley value allows for a natural method of interpreting components of enterprise risk measures such as VaR and ES. For all applications discussed, we derive explicit formulas and / or numerical algorithms to calculate the allocations.

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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