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This paper discusses the efficient Bayesian estimation of a multivariate factor stochastic volatility (Factor MSV) model with leverage. We propose a novel approach to construct the sampling schemes that converges to the posterior…

Methodology · Statistics 2017-06-14 David Gunawan , Chris Carter , Robert Kohn

A plethora of static and dynamic models exist to forecast Value-at-Risk and other quantile-related metrics used in financial risk management. Industry practice tends to favour simpler, static models such as historical simulation or its…

Methodology · Statistics 2022-03-11 Carol Alexander , Yang Han

Drifts of asset returns are notoriously difficult to model accurately and, yet, trading strategies obtained from portfolio optimization are very sensitive to them. To mitigate this well-known phenomenon we study robust growth-optimization…

Mathematical Finance · Quantitative Finance 2026-01-01 Balint Binkert , David Itkin , Paul Mangers Bastian , Josef Teichmann

We present a new volatility model, simple to implement, that includes a leverage effect whose return-volatility correlation function fits to empirical observations. This model is able to capture both the "retarded effect" induced by the…

Statistical Finance · Quantitative Finance 2020-01-03 Sebastien Valeyre , Denis Grebenkov , Sofiane Aboura , Qian Liu

We consider a mean-reverting stochastic volatility model which satisfies some relevant stylized facts of financial markets. We introduce an algorithm for the detection of peaks in the volatility profile, that we apply to the time series of…

Statistical Finance · Quantitative Finance 2016-12-05 Mario Bonino , Matteo Camelia , Paolo Pigato

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

We discuss efficient Bayesian estimation of dynamic covariance matrices in multivariate time series through a factor stochastic volatility model. In particular, we propose two interweaving strategies (Yu and Meng, Journal of Computational…

Computation · Statistics 2019-08-07 Gregor Kastner , Sylvia Frühwirth-Schnatter , Hedibert Freitas Lopes

Robust and reliable covariance estimates play a decisive role in financial and many other applications. An important class of estimators is based on Factor models. Here, we show by extensive Monte Carlo simulations that covariance matrices…

Portfolio Management · Quantitative Finance 2015-03-19 Daniel Bartz , Kerr Hatrick , Christian W. Hesse , Klaus-Robert Müller , Steven Lemm

In this paper, we propose a price staleness factor model that accounts for pervasive market friction across assets and incorporates relevant covariates. Using large-panel high-frequency data, we derive the maximum likelihood estimators of…

Statistics Theory · Mathematics 2026-04-07 Xinbing Kong , Bin Wu , Wuyi Ye

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

Multifractal processes are a relatively new tool of stock market analysis. Their power lies in the ability to take multiple orders of autocorrelations into account explicitly. In the first part of the paper we discuss the framework of the…

Other Condensed Matter · Physics 2008-12-02 Zoltan Eisler , Janos Kertesz

We present a new class of Bayesian dynamic models for bivariate price-realized volatility time series in financial forecasting. A novel dynamic gamma process model adopted for realized volatility is integrated with traditional Bayesian…

Methodology · Statistics 2026-05-13 Patrick Woitschig , Mike West

This paper introduces a novel process for both factor and idiosyncratic volatility matrices whose eigenvalues follow the vector auto-regressive (VAR) model. We call it the factor and idiosyncratic VAR (FIVAR) model. The FIVAR model accounts…

Methodology · Statistics 2025-09-25 Minseok Shin , Donggyu Kim , Yazhen Wang , Jianqing Fan

Factor analysis is a statistical technique employed to evaluate how observed variables correlate through common factors and unique variables. While it is often used to analyze price movement in the unstable stock market, it does not always…

Statistical Finance · Quantitative Finance 2014-08-13 Angela Gu , Patrick Zeng

Multivariate probability density functions of returns are constructed in order to model the empirical behavior of returns in a financial time series. They describe the well-established deviations from the Gaussian random walk, such as an…

Other Condensed Matter · Physics 2009-11-10 M. I. Krivoruchenko , E. Alessio , V. Frappietro , L. J. Streckert

We investigate methods for forecasting multivariate realized covariances matrices applied to a set of 30 assets that were included in the DJ30 index at some point, including two novel methods that use existing (univariate) log of realized…

Econometrics · Economics 2024-12-17 Matias Quiroz , Laleh Tafakori , Hans Manner

Estimation and prediction in high dimensional multivariate factor stochastic volatility models is an important and active research area because such models allow a parsimonious representation of multivariate stochastic volatility. Bayesian…

Computation · Statistics 2021-04-27 David Gunawan , Robert Kohn , David Nott

In dealing with high-dimensional data sets, factor models are often useful for dimension reduction. The estimation of factor models has been actively studied in various fields. In the first part of this paper, we present a new approach to…

Statistical Finance · Quantitative Finance 2017-11-27 Joongyeub Yeo , George Papanicolaou

This article explores dynamic factor allocation by analyzing the cyclical performance of factors through regime analysis. The authors focus on a U.S. equity investment universe comprising seven long-only indices representing the market and…

Portfolio Management · Quantitative Finance 2024-10-22 Yizhan Shu , John M. Mulvey

The discrepancy between realized volatility and the market's view of volatility has been known to predict individual equity options at the monthly horizon. It is not clear how this predictability depends on a forecast's ability to predict…

Statistical Finance · Quantitative Finance 2025-06-10 Austin Pollok