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We consider a popular model of microeconomics with countably many assets: the Arbitrage Pricing Model. We study the problem of optimal investment under an expected utility criterion and look for conditions ensuring the existence of optimal…

Mathematical Finance · Quantitative Finance 2016-07-19 Miklos Rasonyi

This paper investigates arbitrage properties of financial markets under distributional uncertainty using Wasserstein distance as the ambiguity measure. The weak and strong forms of the classical arbitrage conditions are considered. A…

Portfolio Management · Quantitative Finance 2020-04-21 Derek Singh , Shuzhong Zhang

We document a high-performing cross-sectional equity factor that achieves out-of-sample Sharpe ratios above 13 through regime-conditional signal activation. The strategy combines value and short-term reversal signals only during…

Trading and Market Microstructure · Quantitative Finance 2025-11-18 Mainak Singha

\begin{abstract} In this paper, we integrated the statistical arbitrage strategy, pairs trading, into the Black-Litterman model and constructed efficient mean-variance portfolios. Typically, pairs trading underperforms under volatile or…

Computational Finance · Quantitative Finance 2024-06-12 Qiqin Zhou

In the application of machine learning to real-life decision-making systems, e.g., credit scoring and criminal justice, the prediction outcomes might discriminate against people with sensitive attributes, leading to unfairness. The commonly…

Machine Learning · Computer Science 2022-03-21 Suyun Liu , Luis Nunes Vicente

This paper investigates estimation and inference of a Spatial Arbitrage Pricing Theory (SAPT) model that integrates spatial interactions with multi-factor analysis, accommodating both observable and latent factors. Building on the classical…

Econometrics · Economics 2025-11-04 Zhaoxing Gao , Sihan Tu , Ruey S. Tsay

Portfolio optimization in real-world financial markets is notoriously difficult due to non-stationarity, noisy data, and high transaction costs. Standard predict-then-optimize methods first forecast returns and then solve for weights,…

Portfolio Management · Quantitative Finance 2026-05-29 Rahul Fernandes , Travis Desell

Consider a discrete-time infinite horizon financial market model in which the logarithm of the stock price is a time discretization of a stochastic differential equation. Under conditions different from those given in a previous paper of…

Optimization and Control · Mathematics 2014-06-23 Martin Le Doux Mbele Bidima , Miklós Rásonyi

In today's financial markets, quantitative trading has become an essential trading method, with the MACD indicator widely employed in quantitative trading strategies. This paper begins by screening and cleaning the dataset, establishing a…

Computational Engineering, Finance, and Science · Computer Science 2025-02-05 Wangyu Chen , Zhenpeng Zhu

Sequence modeling faces challenges in capturing long-range dependencies across diverse tasks. Recent linear and transformer-based forecasters have shown superior performance in time series forecasting. However, they are constrained by their…

Machine Learning · Computer Science 2024-11-25 Bong Gyun Kang , Dongjun Lee , HyunGi Kim , DoHyun Chung , Sungroh Yoon

We consider the Brownian market model and the problem of expected utility maximization of terminal wealth. We, specifically, examine the problem of maximizing the utility of terminal wealth under the presence of transaction costs of a…

Trading and Market Microstructure · Quantitative Finance 2008-12-02 Theodoros Tsagaris

Latent or unobserved phenomena pose a significant difficulty in data analysis as they induce complicated and confounding dependencies among a collection of observed variables. Factor analysis is a prominent multivariate statistical modeling…

Methodology · Statistics 2020-06-22 Armeen Taeb , Venkat Chandrasekaran

Stock trading strategy plays a crucial role in investment companies. However, it is challenging to obtain optimal strategy in the complex and dynamic stock market. We explore the potential of deep reinforcement learning to optimize stock…

Machine Learning · Computer Science 2022-08-02 Xiao-Yang Liu , Zhuoran Xiong , Shan Zhong , Hongyang Yang , Anwar Walid

Financial time series are commonly decomposed into market factors, which capture shared price movements across assets, and residual factors, which reflect asset-specific deviations. To hedge the market-wide risks, such as the COVID-19…

Computational Engineering, Finance, and Science · Computer Science 2026-02-06 Koshi Watanabe , Ryota Ozaki , Kentaro Imajo , Masanori Hirano

We introduce the notions of Collective Arbitrage and of Collective Super-replication in a discrete-time setting where agents are investing in their markets and are allowed to cooperate through exchanges. We accordingly establish versions of…

Mathematical Finance · Quantitative Finance 2024-05-31 Francesca Biagini , Alessandro Doldi , Jean-Pierre Fouque , Marco Frittelli , Thilo Meyer-Brandis

We prove the existence of a continuous-time Radner equilibrium with multiple agents and transaction costs. The agents are incentivized to trade towards a targeted number of shares throughout the trading period and seek to maximize their…

Mathematical Finance · Quantitative Finance 2023-06-16 Jin Hyuk Choi , Jetlir Duraj , Kim Weston

Factor analysis is a statistical technique that explains correlations among observed random variables with the help of a smaller number of unobserved factors. In traditional full factor analysis, each observed variable is influenced by…

Statistics Theory · Mathematics 2024-12-09 Mathias Drton , Alexandros Grosdos , Irem Portakal , Nils Sturma

This paper develops and empirically evaluates a Sharpe-driven stock selection and liquidity-constrained portfolio optimization framework designed for the Chinese equity market. The proposed methodology integrates three sequential stages:…

Operating Systems · Computer Science 2025-11-18 Thanh Nguyen

Factor Analysis has traditionally been utilized across diverse disciplines to extrapolate latent traits that influence the behavior of multivariate observed variables. Historically, the focus has been on analyzing data from a single study,…

Methodology · Statistics 2026-01-22 Elena Bortolato , Antonio Canale

Feature selection is the problem of selecting a subset of features for a machine learning model that maximizes model quality subject to a budget constraint. For neural networks, prior methods, including those based on $\ell_1$…

Machine Learning · Computer Science 2024-06-19 Taisuke Yasuda , MohammadHossein Bateni , Lin Chen , Matthew Fahrbach , Gang Fu , Vahab Mirrokni
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