应用概率统计2024,Vol.40Issue(1) :122-138.DOI:10.3969/j.issn.1001-4268.2024.01.008

基于扭曲风险度量的鲁棒投资策略

Worst-Case Distortion Risk Measure with Application to Robust Portfolio Selection

闫雪晨 李璐 王雅实
应用概率统计2024,Vol.40Issue(1) :122-138.DOI:10.3969/j.issn.1001-4268.2024.01.008

基于扭曲风险度量的鲁棒投资策略

Worst-Case Distortion Risk Measure with Application to Robust Portfolio Selection

闫雪晨 1李璐 2王雅实3
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作者信息

  • 1. 中国科学技术大学管理学院统计与金融系,合肥,230026
  • 2. 交通银行博士后科研工作站,上海,200120
  • 3. 中国政法大学法治信息管理学院,北京,100027
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摘要

投资组合策略在很大程度上取决于损失的基本分布.因此当损失的分布信息只能通过有限的数据样本来观察时,投资组合策略模型的稳健性是至关重要的.假设损失的基本分布具有已知的均值和方差且位于一个以经验分布为中心,以Wasserstein距离为半径的球内,本文建立了一个基于扭曲风险度量的稳健投资组合策略模型,并将其转化为更简便的等价形式.此外,本文运用模拟和实证研究证明了该模型的有效性.

Abstract

Portfolio selection depends heavily on the underlying distribution of loss.When the distribution information of loss can only be observed through a limited sample of data,robustness of the portfolio selection model is of crucial importance.Assuming that the underlying distribution of loss has a known mean and variance and lies within a ball centred on the reference distribution with the Wasserstein distance as the radius,this paper proposes a robust portfolio strategy model based on the distortion risk measure and translates it into a simpler equivalent form.Furthermore,simulation and empirical study are used to demonstrate the validity of the model.

关键词

扭曲风险度量/投资组合策略/鲁棒模型/Wasserstein距离

Key words

distortion risk measure/portfolio strategy/robust model/Wasserstein distance

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基金项目

Qian Duansheng Distinguished Scholar Support Program of China University of Political Science and Law(DSJCXZ180403)

出版年

2024
应用概率统计
中国数学会概率统计学会

应用概率统计

CSTPCDCSCD北大核心
影响因子:0.263
ISSN:1001-4268
参考文献量28
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