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This paper studies equity basket options -- i.e., multi-dimensional derivatives whose payoffs depend on the value of a weighted sum of the underlying stocks -- and develops a new and innovative approach to ensure consistency between options…

Computational Finance · Quantitative Finance 2022-06-22 Lech A. Grzelak , Juliusz Jablecki , Dariusz Gatarek

This paper introduces a spatiotemporal exponential generalised autoregressive conditional heteroscedasticity (spatiotemporal E-GARCH) model, extending traditional spatiotemporal GARCH models by incorporating asymmetric volatility…

Applications · Statistics 2025-11-10 Ariane Nidelle Meli Chrisko , Philipp Otto , Wolfgang Schmid

This paper proposes an enhanced approach to modeling and forecasting volatility using high frequency data. Using a forecasting model based on Realized GARCH with multiple time-frequency decomposed realized volatility measures, we study the…

Statistical Finance · Quantitative Finance 2015-02-04 Jozef Barunik , Tomas Krehlik , Lukas Vacha

Multilevel models (mixed-effect models or hierarchical linear models) are now a standard approach to analysing clustered and longitudinal data in the social, behavioural and medical sciences. This review article focuses on multilevel linear…

Methodology · Statistics 2019-07-16 George Leckie

We introduce M2VN: Multi-Modal Volatility Network, a novel deep learning-based framework for financial volatility forecasting that unifies time series features with unstructured news data. M2VN leverages the representational power of deep…

Computational Finance · Quantitative Finance 2025-10-24 Yaxuan Kong , Yoontae Hwang , Marcus Kaiser , Chris Vryonides , Roel Oomen , Stefan Zohren

Covariance matrix outcomes arise naturally in neuroimaging experiments to study brain functional connectivity. It is also of interest to understand how brain network organization varies with subject-level covariates. Existing covariance…

Methodology · Statistics 2026-05-08 Michelle Murphy Green , Xi Luo , Brian S. Caffo , Yi Zhao

Multilevel data are prevalent in many real-world applications. However, it remains an open research problem to identify and justify a class of models that flexibly capture a wide range of multilevel data. Motivated by the versatility of the…

Statistics Theory · Mathematics 2022-10-03 Tsz Chai Fung , Spark C. Tseung

We investigate a generalized stochastic model with the property known as mean reversion, that is, the tendency to relax towards a historical reference level. Besides this property, the dynamics is driven by multiplicative and additive…

Physics and Society · Physics 2009-11-11 C. Anteneodo , R. Riera

We suggest two classes of multivariate GARCH--models which are both easy to estimate and perform well in forecasting the covariance matrix of more than one hundred stocks. We apply methods from random matrix theory (RMT) to determine the…

Condensed Matter · Physics 2007-05-23 C. Reese , B. Rosenow

This article introduces a dynamic spatiotemporal stochastic volatility (SV) model with explicit terms for the spatial, temporal, and spatiotemporal spillover effects. Moreover, the model includes time-invariant site-specific constant…

Methodology · Statistics 2023-11-10 Philipp Otto , Osman Doğan , Süleyman Taşpınar

Models and simulations of collective behaviours are often based on considering them as assumed by interactive particle systems. The focus is then on behavioural and interaction rules by using approaches based on artificial agents designed…

Adaptation and Self-Organizing Systems · Physics 2009-03-04 Gianfranco Minati

We explore a stochastic model that enables capturing external influences in two specific ways. The model allows for the expression of uncertainty in the parametrisation of the stochastic dynamics and incorporates patterns to account for…

Pricing of Securities · Quantitative Finance 2024-04-11 Felix L. Wolf , Griselda Deelstra , Lech A. Grzelak

This paper investigates how to measure common market risk factors using newly proposed Panel Quantile Regression Model for Returns. By exploring the fact that volatility crosses all quantiles of the return distribution and using penalized…

Pricing of Securities · Quantitative Finance 2017-08-30 Frantisek Cech , Jozef Barunik

This paper proposes a semiparametric stochastic volatility (SV) model that relaxes the restrictive Gaussian assumption in both the return and volatility error terms, allowing them to follow flexible, nonparametric distributions with…

Computation · Statistics 2025-06-03 Yudong Feng , Ashis Gangopadhyay

In this paper we provide a comprehensive analysis of a structural model for the dynamics of prices of assets traded in a market originally proposed in [1]. The model takes the form of an interacting generalization of the geometric Brownian…

Statistical Finance · Quantitative Finance 2018-06-06 Kartik Anand , Jonathan Khedair , Reimer Kuehn

Central Banks interventions are frequent in response to exogenous events with direct implications on financial market volatility. In this paper, we introduce the Asymmetric Jump Multiplicative Error Model (AJM), which accounts for a…

General Economics · Economics 2023-05-23 Giampiero M. Gallo , Demetrio Lacava , Edoardo Otranto

We propose to model multivariate volatility processes based on the newly defined conditionally uncorrelated components (CUCs). This model represents a parsimonious representation for matrix-valued processes. It is flexible in the sense that…

Statistics Theory · Mathematics 2007-06-13 Jianqing Fan , Mingjin Wang , Qiwei Yao

In this paper, we propose and study a novel continuous-time model, based on the well-known constant elasticity of variance (CEV) model, to describe the asset price process. The basic idea is that the volatility elasticity of the CEV model…

Mathematical Finance · Quantitative Finance 2022-03-18 Fuzhou Gong , Ting Wang

The popular systemic risk measure CoVaR (conditional Value-at-Risk) and its variants are widely used in economics and finance. In this article, we propose joint dynamic forecasting models for the Value-at-Risk (VaR) and CoVaR. The CoVaR…

Econometrics · Economics 2025-01-22 Timo Dimitriadis , Yannick Hoga

The Gaussian Graphical Model (GGM) is a popular tool for incorporating sparsity into joint multivariate distributions. The G-Wishart distribution, a conjugate prior for precision matrices satisfying general GGM constraints, has now been in…

Computation · Statistics 2012-05-15 Yuan Cheng , Alex Lenkoski