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Volatility clustering is a common phenomenon in financial time series. Typically, linear models can be used to describe the temporal autocorrelation of the (logarithmic) variance of returns. Considering the difficulty in estimating this…

Computational Finance · Quantitative Finance 2022-10-21 Di Zhang , Qiang Niu , Youzhou Zhou

Time series momentum strategies are widely applied in the quantitative financial industry and its academic research has grown rapidly since the work of Moskowitz, Ooi and Pedersen (2012). However, trading signals are usually obtained via…

Statistical Finance · Quantitative Finance 2021-11-09 Bruno P. C. Levy , Hedibert F. Lopes

This paper explores stochastic modeling approaches to elucidate the intricate dynamics of stock prices and volatility in financial markets. Beginning with an overview of Brownian motion and its historical significance in finance, we delve…

History and Overview · Mathematics 2024-05-03 Aashrit Cunchala

Sparsity-promoting priors have become increasingly popular over recent years due to an increased number of regression and classification applications involving a large number of predictors. In time series applications where observations are…

Methodology · Statistics 2012-03-02 François Caron , Luke Bornn , Arnaud Doucet

This paper aims to more effectively manage and mitigate stock market risks by accurately characterizing financial market returns and volatility. We enhance the Stochastic Volatility (SV) model by incorporating fat-tailed distributions and…

Applications · Statistics 2024-12-31 Minheng Xiao

Estimating time-varying correlation matrices is challenging because existing methods may adapt slowly to structural changes, impose insufficient regularization, or produce diffuse posterior uncertainty. In moderate dimensions, an additional…

Methodology · Statistics 2026-05-11 Daniel Andrew Coulson , David S. Matteson , Martin T. Wells

Many existing shrinkage approaches for time-varying parameter (TVP) models assume constant innovation variances across time points, inducing sparsity by shrinking these variances toward zero. However, this assumption falls short when states…

Econometrics · Economics 2025-01-24 Peter Knaus , Sylvia Frühwirth-Schnatter

Although multivariate stochastic volatility models usually produce more accurate forecasts compared to the MGARCH models, their estimation techniques such as Bayesian MCMC typically suffer from the curse of dimensionality. We propose a fast…

Econometrics · Economics 2022-05-18 Benjamin Poignard , Manabu Asai

In risk management it is desirable to grasp the essential statistical features of a time series representing a risk factor. This tutorial aims to introduce a number of different stochastic processes that can help in grasping the essential…

Risk Management · Quantitative Finance 2008-12-23 Damiano Brigo , Antonio Dalessandro , Matthias Neugebauer , Fares Triki

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

The stochastic volatility model is one of volatility models which infer latent volatility of asset returns. The Bayesian inference of the stochastic volatility (SV) model is performed by the hybrid Monte Carlo (HMC) algorithm which is…

Computational Finance · Quantitative Finance 2014-08-06 Tetsuya Takaishi

This paper proposes factor stochastic volatility models with skew error distributions. The generalized hyperbolic skew t-distribution is employed for common-factor processes and idiosyncratic shocks. Using a Bayesian sparsity modeling…

Methodology · Statistics 2019-03-27 Jouchi Nakajima

We explore the statistical and economic importance of restrictions on the dynamics of risk compensation from the perspective of a real-time Bayesian learner who predicts bond excess returns using dynamic term structure models (DTSMs). The…

In this paper, we price European Call three different option pricing models, where the volatility is dynamically changing i.e. non constant. In stochastic volatility (SV) models for option pricing a closed form approximation technique is…

Pricing of Securities · Quantitative Finance 2023-09-19 Natasha Latif , Shafqat Ali Shad , Muhammad Usman , Chandan Kumar , Bahman B Motii , MD Mahfuzer Rahman , Khuram Shafi , Zahra Idrees

The stochastic volatility model is a popular tool for modeling the volatility of assets. The model is a nonlinear and non-Gaussian state space model, and consequently is difficult to fit. Many approaches, both classical and Bayesian, have…

Methodology · Statistics 2019-07-22 Chen Gong , David S. Stoffer

With uncertain changes of the economic environment, macroeconomic downturns during recessions and crises can hardly be explained by a Gaussian structural shock. There is evidence that the distribution of macroeconomic variables is skewed…

Econometrics · Economics 2021-05-25 Sune Karlsson , Stepan Mazur , Hoang Nguyen

We present a large scale benchmark of modern deep learning architectures for a financial time series prediction and position sizing task, with a primary focus on Sharpe ratio optimization. Evaluating linear models, recurrent networks,…

Trading and Market Microstructure · Quantitative Finance 2026-03-03 Adir Saly-Kaufmann , Kieran Wood , Jan Peter-Calliess , Stefan Zohren

This paper presents a methodology to introduce time-dependent parameters for a wide family of models preserving their analytic tractability. This family includes hybrid models with stochastic volatility, stochastic interest-rates, jumps and…

Pricing of Securities · Quantitative Finance 2008-12-02 A. Elices

Jump stochastic volatility models are central to financial econometrics for volatility forecasting, portfolio risk management, and derivatives pricing. Markov Chain Monte Carlo (MCMC) algorithms are computationally unfeasible for the…

Applications · Statistics 2016-11-01 Eric Jacquier , Nicholas Polson , Vadim Sokolov

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