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In mathematical finance, Levy processes are widely used for their ability to model both continuous variation and abrupt, discontinuous jumps. These jumps are practically relevant, so reliable inference on the feature that controls jump…

Statistics Theory · Mathematics 2021-09-21 Zhe Wang , Ryan Martin

This paper proposes a portfolio construction framework designed to remain robust under estimation error, non-stationarity, and realistic trading constraints. The methodology combines dynamic asset eligibility, deterministic rebalancing, and…

Optimization and Control · Mathematics 2026-01-12 Roberto Garrone

This paper investigates the role of high-dimensional information sets in the context of Markov switching models with time varying transition probabilities. Markov switching models are commonly employed in empirical macroeconomic research…

Econometrics · Economics 2019-05-07 Gregor Zens , Maximilian Böck

Estimating the covariance of asset returns, i.e., the risk model, is a key component of financial portfolio construction and evaluation. Most risk modeling approaches produce a factor model that decomposes the asset variability into two…

In financial field, a robust software system is of vital importance to ensure the smooth operation of financial transactions. However, many financial corporations still depend on operators to identify and eliminate the system failures when…

Machine Learning · Computer Science 2019-12-20 Jingwen Wang , Jingxin Liu , Juntao Pu , Qinghong Yang , Zhongchen Miao , Jian Gao , You Song

This paper investigates the time-varying structure of Fama and French's (1993; 2015) multi-factor models using Fama and MacBeth's (1973) two-step estimation based on the rolling window method. In particular, we employ the generalized GRS…

Statistical Finance · Quantitative Finance 2024-06-04 Koichiro Moriya , Akihiko Noda

We investigate whether sophisticated volatility estimation improves the out-of-sample performance of mean-variance portfolio strategies relative to the naive 1/N strategy. The portfolio strategies rely solely upon second moments. Using a…

General Finance · Quantitative Finance 2022-02-15 Michael Curran , Patrick O'Sullivan , Ryan Zalla

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

The integration and innovation of finance and technology have gradually transformed the financial system into a complex one. Analyses of the causesd of abnormal fluctuations in the financial market to extract early warning indicators…

Risk Management · Quantitative Finance 2024-03-20 Shige Peng , Shuzhen Yang , Wenqing Zhang

We develop novel estimation procedures with supporting econometric theory for a dynamic latent-factor model with high-dimensional asset characteristics, that is, the number of characteristics is on the order of the sample size. Utilizing…

Econometrics · Economics 2024-05-27 Adam Baybutt

Crypto-currency market uncertainty drives the need to find adaptive solutions to maximise gain or at least to avoid loss throughout the periods of trading activity. Given the high dimensionality and complexity of the state-action space in…

Trading and Market Microstructure · Quantitative Finance 2022-04-29 Ali Raheman , Anton Kolonin , Alexey Glushchenko , Arseniy Fokin , Ikram Ansari

The application of LLM-based agents in financial investment has shown significant promise, yet existing approaches often require intermediate steps like predicting individual stock movements or rely on predefined, static workflows. These…

Artificial Intelligence · Computer Science 2025-09-26 Taian Guo , Haiyang Shen , JinSheng Huang , Zhengyang Mao , Junyu Luo , Binqi Chen , Zhuoru Chen , Luchen Liu , Bingyu Xia , Xuhui Liu , Yun Ma , Ming Zhang

The Capital Asset Pricing Model (CAPM) relates a well-diversified stock portfolio to a benchmark portfolio. We insert size effect in CAPM, capturing the observation that small stocks have higher risk and return than large stocks, on…

Mathematical Finance · Quantitative Finance 2026-05-04 Abraham Atsiwo , Andrey Sarantsev

In this paper, We propose a new style panel data factor stochastic volatility model with observable factors and unobservable factors based on the multivariate stochastic volatility model, which is mainly composed of three parts, such as the…

Methodology · Statistics 2019-04-09 Guobin Fang , Huimin Ma , Michelle Xia , Bo Zhang

This paper focuses on a dynamic multi-asset mean-variance portfolio selection problem under model uncertainty. We develop a continuous time framework for taking into account ambiguity aversion about both expected return rates and…

Portfolio Management · Quantitative Finance 2021-12-02 Huyen Pham , Xiaoli Wei , Chao Zhou

We introduce a faithful representation of the heavy tail multivariate distribution of asset returns, as parsimonous as the Gaussian framework. Using calculation techniques of functional integration and Feynman diagrams borrowed from…

Statistical Mechanics · Physics 2008-12-02 D. Sornette , J. V. Andersen , P. Simonetti

We propose an adaptive importance sampling scheme for the simulation of rare events when the underlying dynamics is given by a diffusion. The scheme is based on a Gibbs variational principle that is used to determine the optimal (i.e.…

Probability · Mathematics 2019-07-24 Carsten Hartmann , Omar Kebiri , Lara Neureither , Lorenz Richter

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

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

We suggest an empirical model of investment strategy returns which elucidates the importance of non-Gaussian features, such as time-varying volatility, asymmetry and fat tails, in explaining the level of expected returns. Estimating the…

Portfolio Management · Quantitative Finance 2011-12-07 Arthur M. Berd