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This paper addresses a novel \emph{cost-sensitive} distributionally robust log-optimal portfolio problem, where the investor faces \emph{ambiguous} return distributions, and a general convex transaction cost model is incorporated. The…

Optimization and Control · Mathematics 2024-11-01 Chung-Han Hsieh , Xiao-Rou Yu

In this paper, we implement and evaluate a conditional diffusion model for asset return prediction and portfolio construction on large-scale equity data. Our method models the full distribution of future returns conditioned on firm…

Computational Engineering, Finance, and Science · Computer Science 2026-03-12 Avi Bagchi , Michael Tesfaye , Om Shastri

Value-at-Risk (VaR) and Conditional Value-at-Risk (CVaR) are popular risk measures from academic, industrial and regulatory perspectives. The problem of minimizing CVaR is theoretically known to be of Neyman-Pearson type binary solution. We…

Portfolio Management · Quantitative Finance 2013-08-19 Jing Li , Mingxin Xu

We study a continuous-time portfolio optimization problem under an explicit constraint on the Deviation Conditional Value-at-Risk (DCVaR), defined as the difference between the CVaR and the expected terminal wealth. While the mean-CVaR…

Optimization and Control · Mathematics 2025-10-01 Jérôme Lelong , Véronique Maume-Deschamps , William Thevenot

Estimation of high dimensional covariance matrices is an interesting and important research topic. In this paper, we propose a dynamic structure and develop an estimation procedure for high dimensional covariance matrices. Asymptotic…

Methodology · Statistics 2015-06-05 Shaojun Guo , John Box , Wenyang Zhang

We define Conditional quasi concave Performance Measures (CPMs), on random variables bounded from below, to accommodate for additional information. Our notion encompasses a wide variety of cases, from conditional expected utility and…

Portfolio Management · Quantitative Finance 2012-12-18 Sara Biagini , Jocelyne Bion-Nadal

This article is focused on using a new measurement of risk-- Weighted Value at Risk to develop a new method of constructing initiate from the TVAR solving problem, based on MATLAB software, using the historical simulation method (avoiding…

Risk Management · Quantitative Finance 2012-11-27 Tianyu Hao

We introduce weighted Markovian graphs, a random walk model that decouples the transition dynamics of a Markov chain from (random) edge weights representing the cost of traversing each edge. This decoupling allows us to study the…

Optimization and Control · Mathematics 2026-03-30 Thao Le , Robbert van der Burg , Bernd Heidergott , Ines Lindner , Alessandro Zocca

We propose a fast and flexible method to scale multivariate return volatility predictions up to high-dimensions using a dynamic risk factor model. Our approach increases parsimony via time-varying sparsity on factor loadings and is able to…

Statistical Finance · Quantitative Finance 2021-11-15 Bruno P. C. Levy , Hedibert F. Lopes

This paper considers the finite horizon portfolio rebalancing problem in terms of mean-variance optimization, where decisions are made based on current information on asset returns and transaction costs. The study's novelty is that the…

Methodology · Statistics 2025-08-21 Qingliang Fan , Marcelo C. Medeiros , Hanming Yang , Songshan Yang

A common problem in data analysis is the separation of signal and background. We revisit and generalise the so-called $sWeights$ method, which allows one to calculate an empirical estimate of the signal density of a control variable using a…

Methodology · Statistics 2022-08-24 Hans Dembinski , Matthew Kenzie , Christoph Langenbruch , Michael Schmelling

This paper studies the dynamic programming principle using the measurable selection method for stochastic control of continuous processes. The novelty of this work is to incorporate intermediate expectation constraints on the canonical…

Optimization and Control · Mathematics 2020-04-22 Yuk-Loong Chow , Xiang Yu , Chao Zhou

During the last decades, international attempts have been made to develop realistic space weather prediction tools aiming to forecast the conditions on the Sun and in the interplanetary environment. These efforts have led to the development…

Dynamic treatment regimes (DTRs) consist of a sequence of decision rules, one per stage of intervention, that finds effective treatments for individual patients according to patient information history. DTRs can be estimated from models…

Methodology · Statistics 2021-12-07 Zeyu Bian , Erica EM Moodie , Susan M Shortreed , Sahir Bhatnagar

We empirically test predictability on asset price by using stock selection rules based on maximum drawdown and its consecutive recovery. In various equity markets, monthly momentum- and weekly contrarian-style portfolios constructed from…

General Finance · Quantitative Finance 2024-05-24 Jaehyung Choi

The exponentially weighted moving average (EMWA) could be labeled as a competitive volatility estimator, where its main strength relies on computation simplicity, especially in a multi-asset scenario, due to dependency only on the decay…

Econometrics · Economics 2021-06-01 Axel A. Araneda

When we implement a portfolio selection methodology under a mean-risk formulation, it is essential to correctly model investors' risk aversion which may be time-dependent, or even state-dependent during the investment procedure. In this…

Portfolio Management · Quantitative Finance 2015-08-04 Xiangyu Cui , Xun Li , Duan Li , Yun Shi

This paper explores the statistical properties of forming constrained optimal portfolios within a high-dimensional set of assets. We examine portfolios with tracking error constraints, those with simultaneous tracking error and weight…

Portfolio Management · Quantitative Finance 2025-10-20 Mehmet Caner , Qingliang Fan

Optimal execution of a portfolio have been a challenging problem for institutional investors. Traders face the trade-off between average trading price and uncertainty, and traditional methods suffer from the curse of dimensionality. Here,…

Portfolio Management · Quantitative Finance 2023-06-16 Xiaoyue Li , John M. Mulvey

Previous research primarily characterized price movements according to time intervals, resulting in temporal discontinuity and overlooking crucial activities in financial markets. Directional Change (DC) is an alternative approach to…

Computational Engineering, Finance, and Science · Computer Science 2023-09-28 Bing Wu , Xiangzu Han