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Accurate volatility forecasts are vital in modern finance for risk management, portfolio allocation, and strategic decision-making. However, existing methods face key limitations. Fully multivariate models, while comprehensive, are…

Statistical Finance · Quantitative Finance 2025-10-09 Duo Zhang , Jiayu Li , Junyi Mo , Elynn Chen

We statistically analyse a multivariate HJM diffusion model with stochastic volatility. The volatility process of the first factor is left totally unspecified while the volatility of the second factor is the product of an unknown process…

Statistics Theory · Mathematics 2019-06-07 Olivier Féron , Pierre Gruet , Marc Hoffmann

Modeling the time-varying covariance structures of high-dimensional variables is critical across diverse scientific and industrial applications; however, existing approaches exhibit notable limitations in either modeling flexibility or…

Methodology · Statistics 2026-01-21 Taehee Lee , Jun S. Liu

Motivated by practical applications, we explore the constrained multi-period mean-variance portfolio selection problem within a market characterized by a dynamic factor model. This model captures predictability in asset returns driven by…

Portfolio Management · Quantitative Finance 2025-02-26 Jianjun Gao , Chengneng Jin , Yun Shi , Xiangyu Cui

Principal component analysis (PCA) is arguably the most widely used approach for large-dimensional factor analysis. While it is effective when the factors are sufficiently strong, it can be inconsistent when the factors are weak and/or the…

Methodology · Statistics 2025-08-22 Zhongyuan Lyu , Ming Yuan

Searching for new effective risk factors on stock returns is an important research topic in asset pricing. Factor modeling is an active research topic in statistics and econometrics, with many new advances. However, these new methods have…

Risk Management · Quantitative Finance 2024-09-27 Xialu Liu , John Guerard , Rong Chen , Ruey Tsay

A new methodology has been introduced to clean the correlation matrix of single stocks returns based on a constrained principal component analysis using financial data. Portfolios were introduced, namely "Fundamental Maximum Variance…

Portfolio Management · Quantitative Finance 2020-01-27 Sebastien Valeyre

Multivariate volatility modeling and forecasting are crucial in financial economics. This paper develops a copula-based approach to model and forecast realized volatility matrices. The proposed copula-based time series models can capture…

Statistical Finance · Quantitative Finance 2020-02-21 Wenjing Wang , Minjing Tao

Estimations and applications of factor models often rely on the crucial condition that the number of latent factors is consistently estimated, which in turn also requires that factors be relatively strong, data are stationary and weak…

Statistics Theory · Mathematics 2020-06-05 Jianqing Fan , Yuan Liao

Long term optimal investment problems are studied in a factor model with matrix valued state variables. Explicit parameter restrictions are obtained under which, for an isoelastic investor, the finite horizon value function and optimal…

Mathematical Finance · Quantitative Finance 2014-09-01 Scott Robertson , Hao Xing

This paper develops a Bayesian procedure for estimation and forecasting of the volatility of multivariate time series. The foundation of this work is the matrix-variate dynamic linear model, for the volatility of which we adopt a…

Statistical Finance · Quantitative Finance 2008-12-02 K. Triantafyllopoulos

Stock price prediction is of significant importance in quantitative investment. Existing approaches encounter two primary issues: First, they often overlook the crucial role of capturing short-term stock fluctuations for predicting…

Computational Engineering, Finance, and Science · Computer Science 2024-11-12 Chengqi Dong , Zhiyuan Cao , S Kevin Zhou , Jia Liu

In the standard equilibrium and/or arbitrage pricing framework, the value of any asset is uniquely specified from the belief that only the systematic risks need to be remunerated by the market. Here, we show that, even for arbitrary large…

Physics and Society · Physics 2008-12-02 Y. Malevergne , D. Sornette

Matrix time series, which consist of matrix-valued data observed over time, are prevalent in various fields such as economics, finance, and engineering. Such matrix time series data are often observed in high dimensions. Matrix factor…

Methodology · Statistics 2024-07-09 Ruofan Yu , Rong Chen , Han Xiao , Yuefeng Han

We analyze a random lozenge tiling model of a large regular hexagon, whose underlying weight structure is periodic of period $2$ in both the horizontal and vertical directions. This is a determinantal point process whose correlation kernel…

Mathematical Physics · Physics 2020-10-02 Christophe Charlier

We provide a novel method for large volatility matrix prediction with high-frequency data by applying eigen-decomposition to daily realized volatility matrix estimators and capturing eigenvalue dynamics with ARMA models. Given a sequence of…

Applications · Statistics 2019-09-26 Xinyu Song

The objective of this paper is to measure the degree of home bias (HB) within holdings portfolio and to identify their determining factors. By following literature and an international capital asset pricing model, we have chosen quite a…

Portfolio Management · Quantitative Finance 2018-04-17 Mounira Chniguir , Mohamed Kefi , Jamel Henchiri

This paper presents a portfolio construction process, including mainly two parts, Factors Selection and Weight Allocations. For the factors selection part, We have chosen 20 factors by considering three aspects, the global market, different…

Portfolio Management · Quantitative Finance 2023-11-09 Fanyu Zhao

Volatility is a key measure of risk in financial analysis. The high volatility of one financial asset today could affect the volatility of another asset tomorrow. These lagged effects among volatilities - which we call volatility spillovers…

Statistical Finance · Quantitative Finance 2017-08-08 Luca Barbaglia , Christophe Croux , Ines Wilms

We address the curse of dimensionality in dynamic covariance estimation by modeling the underlying co-volatility dynamics of a time series vector through latent time-varying stochastic factors. The use of a global-local shrinkage prior for…

Methodology · Statistics 2019-08-07 Gregor Kastner