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The mean-variance portfolio model, based on the risk-return trade-off for optimal asset allocation, remains foundational in portfolio optimization. However, its reliance on restrictive assumptions about asset return distributions limits its…

Portfolio Management · Quantitative Finance 2025-04-17 Savita Pareek , Sujit K. Ghosh

Oil is perceived as a good diversification tool for stock markets. To fully understand this potential, we propose a new empirical methodology that combines generalized autoregressive score copula functions with high frequency data and…

Statistical Finance · Quantitative Finance 2015-02-11 Krenar Avdulaj , Jozef Barunik

This paper explores the dependence modeling of financial assets in a dynamic way and its critical role in measuring risk. Two new methods, called Accelerated Moving Window method and Bottom-up method are proposed to detect the change of…

Risk Management · Quantitative Finance 2019-08-15 Yali Dou , Haiyan Liu , Georgios Aivaliotis

We propose a novel conditional diffusion model for contextual portfolio optimization that learns the cross-sectional distribution of next-day stock returns conditioned on high-dimensional asset-specific factors. Our model leverages a…

Portfolio Management · Quantitative Finance 2026-04-17 Xuefeng Gao , Mengying He , Xuedong He

We develop a new analysis for portfolio optimisation with options, tackling the three fundamental issues with this problem: asymmetric options' distributions, high dimensionality and dependence structure. To do so, we propose a new…

Portfolio Management · Quantitative Finance 2024-09-10 Jonathan Raimana Chan , Thomas Huckle , Antoine Jacquier , Aitor Muguruza

We propose and study a simple model of dynamical redistribution of capital in a diversified portfolio. We consider a hypothetical situation of a portfolio composed of N uncorrelated stocks. Each stock price follows a multiplicative random…

Statistical Mechanics · Physics 2015-06-25 Matteo Marsili , Sergei Maslov , Yi-Cheng Zhang

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

The accurate prediction of time-changing covariances is an important problem in the modeling of multivariate financial data. However, some of the most popular models suffer from a) overfitting problems and multiple local optima, b) failure…

Methodology · Statistics 2013-06-04 Yue Wu , José Miguel Hernández-Lobato , Zoubin Ghahramani

In this paper, we are concerned with the optimization of a dynamic investment portfolio when the securities which follow a multivariate Merton model with dependent jumps are periodically invested and proceed by approximating the…

Portfolio Management · Quantitative Finance 2021-04-26 Bahareh Afhami , Mohsen Rezapour , Mohsen Madadi , Vahed Maroufy

We extend and test empirically the multifractal model of asset returns based on a multiplicative cascade of volatilities from large to small time scales. The multifractal description of asset fluctuations is generalized into a multivariate…

Statistical Mechanics · Physics 2008-12-10 J. -F. Muzy , D. Sornette , J. Delour , A. Arneodo

In this article we review existing literature on dynamic copulas and then propose an n-copula which varies in time and space. Our approach makes use of stochastic differential equations, and gives rise to a dynamic copula which is able to…

Statistics Theory · Mathematics 2008-12-18 Glenis Crane

We introduce a new dynamic factor correlation model with a novel variation-free parametrization of factor loadings. The model is applicable to high dimensions and can accommodate time-varying correlations, heterogeneous heavy-tailed…

Econometrics · Economics 2025-03-04 Chen Tong , Peter Reinhard Hansen

We discuss Bayesian forecasting of increasingly high-dimensional time series, a key area of application of stochastic dynamic models in the financial industry and allied areas of business. Novel state-space models characterizing sparse…

Methodology · Statistics 2022-06-07 Zoey Yi Zhao , Meng Xie , Mike West

Misperceptions about extreme dependencies between different financial assets have been an im- portant element of the recent financial crisis. This paper studies inhomogeneity in dependence structures using Markov switching regular vine…

Methodology · Statistics 2012-02-10 Jakob Stoeber , Claudia Czado

We propose parametric copulas that capture serial dependence in stationary heteroskedastic time series. We develop our copula for first order Markov series, and extend it to higher orders and multivariate series. We derive the copula of a…

Applications · Statistics 2017-01-26 Rubén Loaiza-Maya , Michael S. Smith , Worapree Maneesoonthorn

Recent financial disasters have emphasised the need to accurately predict extreme financial losses and their consequences for the institutions belonging to a given financial market. The ability of econometric models to predict extreme…

Methodology · Statistics 2016-01-22 Mauro Bernardi , Leopoldo Catania

We consider dynamic versions of the mutual information of lifetime distributions, with focus on past lifetimes, residual lifetimes and mixed lifetimes evaluated at different instants. This allows to study multicomponent systems, by…

Probability · Mathematics 2016-05-10 Jafar Ahmadi , Antonio Di Crescenzo , Maria Longobardi

Capturing complex dependence structures between outcome variables (e.g., study endpoints) is of high relevance in contemporary biomedical data problems and medical research. Distributional copula regression provides a flexible tool to model…

Methodology · Statistics 2022-02-28 Nicolai Hans , Nadja Klein , Florian Faschingbauer , Michael Schneider , Andreas Mayr

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 develops a flexible and computationally efficient multivariate volatility model, which allows for dynamic conditional correlations and volatility spillover effects among financial assets. The new model has desirable properties…

Methodology · Statistics 2025-07-25 Wenyu Li , Yuchang Lin , Qianqian Zhu , Guodong Li
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