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Quantitative Finance > Mathematical Finance

arXiv:2306.16681 (q-fin)
[Submitted on 29 Jun 2023 (v1) , last revised 9 Jul 2023 (this version, v2)]

Title: Data-driven Multiperiod Robust Mean-Variance Optimization

Title: 数据驱动的多时期鲁棒均值-方差优化

Authors:Xin Hai, Gregoire Loeper, Kihun Nam
Abstract: We study robust mean-variance optimization in multiperiod portfolio selection by allowing the true probability measure to be inside a Wasserstein ball centered at the empirical probability measure. Given the confidence level, the radius of the Wasserstein ball is determined by the empirical data. The numerical simulations of the US stock market provide a promising result compared to other popular strategies.
Abstract: 我们通过允许真实概率测度位于经验概率测度为中心的Wasserstein球内部,研究多期投资组合选择中的鲁棒均值-方差优化。 给定置信水平,Wasserstein球的半径由经验数据确定。 美国股票市场的数值模拟结果与其他流行策略相比表现出良好的效果。
Comments: 37 pages
Subjects: Mathematical Finance (q-fin.MF) ; Optimization and Control (math.OC)
MSC classes: 91G10, 49M29
Cite as: arXiv:2306.16681 [q-fin.MF]
  (or arXiv:2306.16681v2 [q-fin.MF] for this version)
  https://doi.org/10.48550/arXiv.2306.16681
arXiv-issued DOI via DataCite

Submission history

From: Kihun Nam [view email]
[v1] Thu, 29 Jun 2023 04:53:01 UTC (1,896 KB)
[v2] Sun, 9 Jul 2023 02:11:14 UTC (1,896 KB)
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