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We investigate the static portfolio selection problem of S-shaped and non-concave utility maximization under first-order and second-order stochastic dominance (SD) constraints. In many S-shaped utility optimization problems, one should…

数理金融 · 定量金融 2026-03-16 Zeyun Hu , Yang Liu

We consider a financial intermediary managing assets and liabilities exposed to several risk sources and seeking an optimal portfolio strategy to minimise the initial capital invested and the total risk associated with investment losses and…

最优化与控制 · 数学 2025-05-23 Giorgio Consigli , Darinka Dentcheva , Francesca Maggioni , Giovanni Micheli

This contribution examines optimization problems that involve stochastic dominance constraints. These problems have uncountably many constraints. We develop methods to solve the optimization problem by reducing the constraints to a finite…

最优化与控制 · 数学 2025-02-27 Rajmadan Lakshmanan , Alois Pichler , Miloš Kopa

In this paper we consider how we can include index options in enhanced indexation. We present the concept of an \enquote{option strategy} which enables us to treat options as an artificial asset. An option strategy for a known set of…

计算金融 · 定量金融 2026-03-10 Cristiano Arbex Valle , John E Beasley

In this paper, we discuss portfolio selection strategies for Enhanced Indexation (EI), which are based on stochastic dominance relations. The goal is to select portfolios that stochastically dominate a given benchmark but that, at the same…

投资组合管理 · 定量金融 2024-01-24 Francesco Cesarone , Justo Puerto

Stochastic Dominance (SD) theory provides a rigorous framework for selecting superior assets tailored to the asset allocation needs of investors with varying risk preferences (i.e., risk-averse, risk-seeking, and risk-neutral). However,…

机器学习 · 统计学 2026-05-26 Hua Li , Xue Jia , Yilin Kang , Wing-Keung Wong

We consider a problem of finding an SSD (second-order stochastic dominance)-minimal quantile function subject to the mixture of FSD (first-order stochastic dominance) and SSD constraints. The SSD-minimal solution is explicitly worked out…

概率论 · 数学 2022-08-02 Xiangyu Wang , Jianming Xia , Zuo Quan Xu , Zhou Yang

We develop and implement methods for determining whether relaxing sparsity constraints on portfolios improves the investment opportunity set for risk-averse investors. We formulate a new estimation procedure for sparse second-order…

计量经济学 · 经济学 2024-09-02 Stelios Arvanitis , Olivier Scaillet , Nikolas Topaloglou

Embedding value investment in portfolio optimization models has always been a challenge. In this paper, we attempt to incorporate it by employing principal component analysis to filter out dominant financial ratios from each sector and…

投资组合管理 · 定量金融 2023-01-23 Vrinda Dhingra , Amita Sharma , Shiv K. Gupta

We provide a comprehensive analysis of the two-parameter Beta distributions seen from the perspective of second-order stochastic dominance. By changing its parameters through a bijective mapping, we work with a bounded subset D instead of…

概率论 · 数学 2022-08-01 Yann Braouezec , John Cagnol

We describe a new approach for managing aleatoric uncertainty in the Reinforcement Learning (RL) paradigm. Instead of selecting actions according to a single statistic, we propose a distributional method based on the second-order stochastic…

机器学习 · 计算机科学 2020-10-08 John D. Martin , Michal Lyskawinski , Xiaohu Li , Brendan Englot

We consider a distributionally robust second-order stochastic dominance constrained optimization problem. We require the dominance constraints hold with respect to all probability distributions in a Wasserstein ball centered at the…

最优化与控制 · 数学 2021-10-20 Yu Mei , Jia Liu , Zhiping Chen

Financial markets are integral to a country's economic success, yet their complex nature raises challenging issues for predicting their behaviors. There is a growing demand for an integrated system that explores the vast and diverse data in…

统计金融 · 定量金融 2024-12-10 Ali Abrishami , Jafar Habibi , AmirAli Jarrahi , Dariush Amiri , MohammadAmin Fazli

Stochastic dominance (SD) provides a quantile-based partial ordering of random variables and has broad applications. Its extension to multivariate settings, however, is challenging due to the lack of a canonical ordering in $\mathbb{R}^d$…

统计方法学 · 统计学 2025-12-24 Yiming Ma , Hang Liu , Weiwei Zhuang

Solving large-scale robust portfolio optimization problems is challenging due to the high computational demands associated with an increasing number of assets, the amount of data considered, and market uncertainty. To address this issue, we…

计算金融 · 定量金融 2024-08-16 Chung-Han Hsieh , Jie-Ling Lu

This paper develops stochastic optimization problems for describing and analyzing behavioral investors with Markowitz Stochastic Dominance (MSD) preferences. Specifically, we establish dominance conditions in a discrete state-space to…

投资组合管理 · 定量金融 2025-09-30 Peng Xu

An index tracker is a passive investment reproducing the return and risk of a market index, an enhanced index tracker offers a return greater than the index. We consider the selection of a portfolio of given cardinality to track an index,…

投资组合管理 · 定量金融 2025-03-25 N. Meade , C. A. Valle , J. E. Beasley

Portfolio management problems are often divided into two types: active and passive, where the objective is to outperform and track a preselected benchmark, respectively. Here, we formulate and solve a dynamic asset allocation problem that…

投资组合管理 · 定量金融 2018-07-31 Ali Al-Aradi , Sebastian Jaimungal

The sparse portfolio selection problem is one of the most famous and frequently-studied problems in the optimization and financial economics literatures. In a universe of risky assets, the goal is to construct a portfolio with maximal…

最优化与控制 · 数学 2022-02-22 Dimitris Bertsimas , Ryan Cory-Wright

An actively managed portfolio almost never beats the market in the long term. Thus, many investors often resort to passively managed portfolios whose aim is to follow a certain financial index. The task of building such passive portfolios…

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