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We consider the problem of portfolio optimization with a correlation constraint. The framework is the multiperiod stochastic financial market setting with one tradable stock, stochastic income and a non-tradable index. The correlation…

Optimization and Control · Mathematics 2020-01-01 Aditya Maheshwari , Traian Pirvu

We present a parsimonious neural network approach, which does not rely on dynamic programming techniques, to solve dynamic portfolio optimization problems subject to multiple investment constraints. The number of parameters of the…

Computational Finance · Quantitative Finance 2023-03-17 Pieter M. van Staden , Peter A. Forsyth , Yuying Li

We employ a Bayesian modelling technique for high dimensional cointegration estimation to construct low volatility portfolios from a large number of stocks. The proposed Bayesian framework effectively identifies sparse and important…

Applications · Statistics 2024-07-16 Parley R Yang , Alexander Y Shestopaloff

Online portfolio selection research has so far focused mainly on minimizing regret defined in terms of wealth growth. Practical financial decision making, however, is deeply concerned with both wealth and risk. We consider online learning…

Mathematical Finance · Quantitative Finance 2017-05-30 Guy Uziel , Ran El-Yaniv

We consider a utility-maximization problem in a general semimartingale financial model, subject to constraints on the number of shares held in each risky asset. These constraints are modeled by predictable convex-set-valued processes whose…

Portfolio Management · Quantitative Finance 2013-02-25 Kasper Larsen , Gordan Žitković

We relook at the classic equity fund selection and portfolio construction problems from a new perspective and propose an easy-to-implement framework to tackle the problem in practical investment. Rather than the conventional way by…

Portfolio Management · Quantitative Finance 2020-04-24 Yi Cao

Machine learning (ML) methods have been successfully employed in identifying variables that can predict the equity premium of individual stocks. In this paper, we investigate if ML can also be helpful in selecting variables relevant for…

Portfolio Management · Quantitative Finance 2025-08-22 Guilherme V. Moura , André P. Santos , Hudson S. Torrent

Portfolio allocation with gross-exposure constraint is an effective method to increase the efficiency and stability of selected portfolios among a vast pool of assets, as demonstrated in Fan et al (2008). The required high-dimensional…

Portfolio Management · Quantitative Finance 2010-04-29 Jianqing Fan , Yingying Li , Ke Yu

Several portfolio selection models take into account practical limitations on the number of assets to include and on their weights in the portfolio. We present here a study of the Limited Asset Markowitz (LAM), of the Limited Asset Mean…

Portfolio Management · Quantitative Finance 2019-05-08 Francesco Cesarone , Andrea Scozzari , Fabio Tardella

This paper concerns the approximation of smooth, high-dimensional functions from limited samples using polynomials. This task lies at the heart of many applications in computational science and engineering - notably, some of those arising…

Numerical Analysis · Mathematics 2023-11-07 Ben Adcock , Simone Brugiapaglia

This paper studies the properties of the optimal portfolio-consumption strategies in a {finite horizon} robust utility maximization framework with different borrowing and lending rates. In particular, we allow for constraints on both…

Portfolio Management · Quantitative Finance 2018-12-06 Zhou Yang , Gechun Liang , Chao Zhou

We present a general framework for portfolio risk management in discrete time, based on a replicating martingale. This martingale is learned from a finite sample in a supervised setting. The model learns the features necessary for an…

Risk Management · Quantitative Finance 2022-05-09 Lucio Fernandez-Arjona , Damir Filipović

We estimate the global minimum variance (GMV) portfolio in the high-dimensional case using results from random matrix theory. This approach leads to a shrinkage-type estimator which is distribution-free and it is optimal in the sense of…

Statistical Finance · Quantitative Finance 2023-04-19 Taras Bodnar , Nestor Parolya , Wolfgang Schmid

We present a new Subset Simulation approach using Hamiltonian neural network-based Monte Carlo sampling for reliability analysis. The proposed strategy combines the superior sampling of the Hamiltonian Monte Carlo method with…

Machine Learning · Statistics 2024-01-11 Denny Thaler , Somayajulu L. N. Dhulipala , Franz Bamer , Bernd Markert , Michael D. Shields

Portfolio sorting is ubiquitous in the empirical finance literature, where it has been widely used to identify pricing anomalies. Despite its popularity, little attention has been paid to the statistical properties of the procedure. We…

Econometrics · Economics 2020-07-21 Matias D. Cattaneo , Richard K. Crump , Max H. Farrell , Ernst Schaumburg

Portfolio management (PM) is a fundamental financial planning task that aims to achieve investment goals such as maximal profits or minimal risks. Its decision process involves continuous derivation of valuable information from various data…

Portfolio Management · Quantitative Finance 2020-02-17 Yunan Ye , Hengzhi Pei , Boxin Wang , Pin-Yu Chen , Yada Zhu , Jun Xiao , Bo Li

In this paper, we document a novel machine learning based bottom-up approach for static and dynamic portfolio optimization on, potentially, a large number of assets. The methodology applies to general constrained optimization problems and…

Mathematical Finance · Quantitative Finance 2020-11-24 Qing Yang , Zhenning Hong , Ruyan Tian , Tingting Ye , Liangliang Zhang

The field of portfolio selection is an active research topic, which combines elements and methodologies from various fields, such as optimization, decision analysis, risk management, data science, forecasting, etc. The modeling and…

Portfolio Management · Quantitative Finance 2020-10-28 A. Georgantas

This paper considers the mean-reverting portfolio design problem arising from statistical arbitrage in the financial markets. We first propose a general problem formulation aimed at finding a portfolio of underlying component assets by…

Portfolio Management · Quantitative Finance 2018-05-09 Ziping Zhao , Daniel P. Palomar

In this paper, we aim at solving the cardinality constrained high-order portfolio optimization, i.e., mean-variance-skewness-kurtosis model with cardinality constraint (MVSKC). Optimization for the MVSKC model is of great difficulty in two…

Portfolio Management · Quantitative Finance 2021-06-11 Jinxin Wang , Zengde Deng , Taoli Zheng , Anthony Man-Cho So
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