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The newsvendor model is a well-known stochastic model for inventory management; however, it was originally developed for a single-period context and focuses on trading companies. This paper proposes an extension of the newsvendor model into…

Optimization and Control · Mathematics 2026-02-13 Valentyn Khokhlov

Portfolio traders strive to identify dynamic portfolio allocation schemes so that their total budgets are efficiently allocated through the investment horizon. This study proposes a novel portfolio trading strategy in which an intelligent…

Portfolio Management · Quantitative Finance 2019-12-02 Hyungjun Park , Min Kyu Sim , Dong Gu Choi

The expanding number of assets offers more opportunities for investors but poses new challenges for modern portfolio management (PM). As a central plank of PM, portfolio selection by expected utility maximization (EUM) faces uncontrollable…

Applications · Statistics 2022-10-24 Jin-Hong Du , Yifeng Guo , Xueqin Wang

The global minimum-variance portfolio is a typical choice for investors because of its simplicity and broad applicability. Although it requires only one input, namely the covariance matrix of asset returns, estimating the optimal solution…

Portfolio Management · Quantitative Finance 2021-01-08 Sven Husmann , Antoniya Shivarova , Rick Steinert

Accurate transfer of information across multiple sectors to enhance model estimation is both significant and challenging in multi-sector portfolio optimization involving a large number of assets in different classes. Within the framework of…

Methodology · Statistics 2026-04-23 Qingliang Fan , Ruike Wu , Yanrong Yang

Changes in market conditions present challenges for investors as they cause performance to deviate from the ranges predicted by long-term averages of means and covariances. The aim of conditional asset allocation strategies is to overcome…

General Finance · Quantitative Finance 2022-11-03 Reza Bradrania , Davood Pirayesh Neghab

The popularity of modern portfolio theory has decreased among practitioners because of its unfavorable out-of-sample performance. Estimation errors tend to affect the optimal weight calculation noticeably, especially when a large number of…

Portfolio Management · Quantitative Finance 2019-10-28 Sven Husmann , Antoniya Shivarova , Rick Steinert

A drawdown constraint forces the current wealth to remain above a given function of its maximum to date. We consider the portfolio optimisation problem of maximising the long-term growth rate of the expected utility of wealth subject to a…

Portfolio Management · Quantitative Finance 2013-04-23 Vladimir Cherny , Jan Obloj

Portfolio optimization involves selecting asset weights to minimize a risk-reward objective, such as the portfolio variance in the classical minimum-variance framework. Sparse portfolio selection extends this by imposing a cardinality…

Machine Learning · Statistics 2025-05-16 Sarat Moka , Matias Quiroz , Vali Asimit , Samuel Muller

Recent developments in deep learning techniques have motivated intensive research in machine learning-aided stock trading strategies. However, since the financial market has a highly non-stationary nature hindering the application of…

Portfolio Management · Quantitative Finance 2020-12-15 Kentaro Imajo , Kentaro Minami , Katsuya Ito , Kei Nakagawa

We study the dynamic portfolio selection of an investor who uses deep learning methods to forecast stock market excess returns. In a two-asset allocation problem, deep neural networks -- both feedforward and long short-term memory (LSTM)…

General Finance · Quantitative Finance 2026-02-16 Mykola Babiak , Jozef Barunik

Portfolio optimization approaches inevitably rely on multivariate modeling of markets and the economy. In this paper, we address three sources of error related to the modeling of these complex systems: 1. oversimplifying hypothesis; 2.…

Statistical Finance · Quantitative Finance 2021-03-30 Pier Francesco Procacci , Tomaso Aste

In the portfolio multiobjective optimization framework, we propose to compare and choose, among all feasible asset portfolios of a given market, the one that maximizes the product of the distances between its values of risk and gain and…

Optimization and Control · Mathematics 2018-01-16 Francesco Cesarone , Lorenzo Lampariello , Simone Sagratella

We demonstrate the application of an algorithmic trading strategy based upon the recently developed dynamic mode decomposition (DMD) on portfolios of financial data. The method is capable of characterizing complex dynamical systems, in this…

Computational Finance · Quantitative Finance 2015-08-20 Jordan Mann , J. Nathan Kutz

We study an optimization-based approach to con- struct a mean-reverting portfolio of assets. Our objectives are threefold: (1) design a portfolio that is well-represented by an Ornstein-Uhlenbeck process with parameters estimated by maximum…

Portfolio Management · Quantitative Finance 2018-03-20 Jize Zhang , Tim Leung , Aleksandr Y. Aravkin

We propose a universal end-to-end framework for portfolio optimization where asset distributions are directly obtained. The designed framework circumvents the traditional forecasting step and avoids the estimation of the covariance matrix,…

Portfolio Management · Quantitative Finance 2021-11-18 Chao Zhang , Zihao Zhang , Mihai Cucuringu , Stefan Zohren

In this work, we consider the optimal portfolio selection problem under hard constraints on trading amounts, transaction costs and different rates for borrowing and lending when the risky asset returns are serially correlated. No…

Portfolio Management · Quantitative Finance 2014-10-30 Vladimir Dombrovskii , Tatyana Obedko

This paper explores the mean-variance portfolio selection problem in a multi-period financial market characterized by regime-switching dynamics and uncontrollable liabilities. To address the uncertainty in the decision-making process within…

Optimization and Control · Mathematics 2025-09-04 Zhongqin Gao , Ping Chen , Xun Li , Yan Lv , Wenhao Zhang

This paper studies a portfolio allocation problem, where the goal is to prescribe the wealth distribution at the final time. We study this problem with the tools of optimal mass transport. We provide a dual formulation which we solve by a…

Optimization and Control · Mathematics 2022-04-19 Ivan Guo , Nicolas Langrené , Grégoire Loeper , Wei Ning

As the cornerstone of modern portfolio theory, Markowitz's mean-variance optimization is considered a major model adopted in portfolio management. However, due to the difficulty of estimating its parameters, it cannot be applied to all…

Machine Learning · Computer Science 2019-11-15 Mengying Zhu , Xiaolin Zheng , Yan Wang , Yuyuan Li , Qianqiao Liang