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Classical portfolio models degrade under structural breaks, whereas flexible machine-learning allocation methods often lack arbitrage consistency and interpretability. We propose Causal PDE-Control Models (CPCMs), a framework that…

Portfolio Management · Quantitative Finance 2026-04-10 Alejandro Rodriguez Dominguez

We approach the continuous-time mean-variance (MV) portfolio selection with reinforcement learning (RL). The problem is to achieve the best tradeoff between exploration and exploitation, and is formulated as an entropy-regularized, relaxed…

Portfolio Management · Quantitative Finance 2019-05-07 Haoran Wang , Xun Yu Zhou

High precision analytical approximation is proposed for variance-covariance based risk allocation in a portfolio of risky assets. A general case of a single-period multi-factor Merton-type model with stochastic recovery is considered. The…

Risk Management · Quantitative Finance 2009-09-28 Mikhail Voropaev

We consider a statistical model for pairs of traded assets, based on a Cointegrated Vector Auto Regression (CVAR) Model. We extend standard CVAR models to incorporate estimation of model parameters in the presence of price series level…

Statistical Finance · Quantitative Finance 2010-08-03 Gareth W. Peters , Balakrishnan B. Kannan , Ben Lasscock , Chris Mellen , Simon Godsill

This study presents the Adaptive Minimum-Variance Portfolio (AMVP) framework and the Adaptive Minimum-Risk Rate (AMRR) metric, innovative tools designed to optimize portfolios dynamically in volatile and nonstationary financial markets.…

Econometrics · Economics 2025-01-28 Ayush Jha , Abootaleb Shirvani , Ali Jaffri , Svetlozar T. Rachev , Frank J. Fabozzi

Income and risk coexist, yet investors are often so focused on chasing high returns that they overlook the potential risks that can lead to high losses. Therefore, risk forecasting and risk control is the cornerstone of investment. To…

Applications · Statistics 2023-11-14 Xinyuan Song

Generalized additive index models (GAIMs) offer a flexible semiparametric framework for capturing complex data relationships, balancing the interpretability of parametric models with the flexibility of nonparametric approaches. However,…

Methodology · Statistics 2026-05-29 Ziyu Peng , Linglingzhi Zhu , Yao Xie

The problem of data uncertainty has motivated the incorporation of robust optimization in various arenas, beyond the Markowitz portfolio optimization. This work presents the extension of the robust optimization framework for the…

Portfolio Management · Quantitative Finance 2019-08-15 Mohammed Bilal Girach , Shashank Oberoi , Siddhartha P. Chakrabarty

A causal vector autoregressive (CVAR) model is introduced for weakly stationary multivariate processes, combining a recursive directed graphical model for the contemporaneous components and a vector autoregressive model longitudinally.…

We study portfolio choice when firm-level emissions intensities are measured with error. We introduce a scope-specific penalty operator that rescales asset payoffs as a smooth function of revenue-normalized emissions intensity. Under payoff…

Mathematical Finance · Quantitative Finance 2026-01-13 Khizar Qureshi , H. Oliver Gao

Multivariate regression techniques are commonly applied to explore the associations between large numbers of outcomes and predictors. In real-world applications, the outcomes are often of mixed types, including continuous measurements,…

Methodology · Statistics 2020-10-19 Aditya Mishra , Dipak K. Dey , Yong Chen , Kun Chen

The modeling of high-frequency data that qualify financial asset transactions has been an area of relevant interest among statisticians and econometricians -- above all, the analysis of time series of financial durations. Autoregressive…

Methodology · Statistics 2023-08-31 Helton Saulo , Suvra Pal , Rubens Souza , Roberto Vila , Alan Dasilva

We address a portfolio selection problem that combines active (outperformance) and passive (tracking) objectives using techniques from convex analysis. We assume a general semimartingale market model where the assets' growth rate processes…

Portfolio Management · Quantitative Finance 2019-03-19 Ali Al-Aradi , Sebastian Jaimungal

The mean-variance model remains the most prevalent investment framework, built on diversification principles. However, it consistently struggles with estimation errors in expected returns and the covariance matrix, its core parameters. To…

Portfolio Management · Quantitative Finance 2026-01-29 Rupendra Yadav , Amita Sharma , Aparna Mehra

This paper introduces a novel approach, the bivariate generalized autoregressive (BGAR) model, for modeling and forecasting bivariate time series data. The BGAR model generalizes the bivariate vector autoregressive (VAR) models by allowing…

Methodology · Statistics 2025-07-22 Tatiane Fontana Ribeiro , Airlane P. Alencar , Fábio M. Bayer

In this paper, we study the continuous-time multi-asset mean-variance (MV) portfolio selection using a reinforcement learning (RL) algorithm, specifically the soft actor-critic (SAC) algorithm, in the time-varying financial market. A family…

Mathematical Finance · Quantitative Finance 2025-05-13 Yu Li , Yuhan Wu , Shuhua Zhang

Value at Risk (VaR) and stress testing are two of the most widely used approaches in portfolio risk management to estimate potential market value losses under adverse market moves. VaR quantifies potential loss in value over a specified…

Computational Finance · Quantitative Finance 2024-10-01 Krishan Mohan Nagpal

We propose Generative Adversarial Regression (GAR), a framework for learning conditional risk scenarios through generators aligned with downstream risk objectives. GAR builds on a regression characterization of conditional risk for…

Machine Learning · Statistics 2026-03-10 Saeed Asadi , Jonathan Yu-Meng Li

Stock return forecasting is a major component of numerous finance applications. Predicted stock returns can be incorporated into portfolio trading algorithms to make informed buy or sell decisions which can optimize returns. In such…

Portfolio Management · Quantitative Finance 2024-10-23 Zimeng Lyu , Amulya Saxena , Rohaan Nadeem , Hao Zhang , Travis Desell

Time series of matrix-valued data are increasingly available in various areas including economics, finance, social science, among others. These data may shed light on the inter-dynamical relationships between two sets of attributes, for…

Methodology · Statistics 2026-04-22 Fei Wu , Kung-Sik Chan