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We propose Neural GARCH, a class of methods to model conditional heteroskedasticity in financial time series. Neural GARCH is a neural network adaptation of the GARCH 1,1 model in the univariate case, and the diagonal BEKK 1,1 model in the…

机器学习 · 计算机科学 2022-02-24 Zexuan Yin , Paolo Barucca

By capturing outliers, volatility clustering, and tail dependence in the asset return distribution, we build a sophisticated model to predict the downside risk of the global financial market. We further develop a dynamic regime switching…

计量经济学 · 经济学 2025-06-17 Yin Luo , Sheng Wang , Javed Jussa

Value at Risk (VaR) and stress testing are two of the most widely used approaches in portfolio risk management to estimate potential market value losses under adverse market moves. VaR quantifies potential loss in value over a specified…

计算金融 · 定量金融 2024-10-01 Krishan Mohan Nagpal

We introduce a heterogeneous spatiotemporal GARCH model for geostatistical data or processes on networks, e.g., for modelling and predicting financial return volatility across firms in a latent spatial framework. The model combines…

统计金融 · 定量金融 2025-08-29 Atika Aouri , Philipp Otto

Using Monte Carlo simulation to calculate the Value at Risk (VaR) as a possible risk measure requires adequate techniques. One of these techniques is the application of a compound distribution for the aggregates in a portfolio. In this…

计算金融 · 定量金融 2017-02-16 M. Assadsolimani , D. Chetalova

We propose a new class of financial volatility models, called the REcurrent Conditional Heteroskedastic (RECH) models, to improve both in-sample analysis and out-ofsample forecasting of the traditional conditional heteroskedastic models. In…

计量经济学 · 经济学 2022-01-25 T. -N. Nguyen , M. -N. Tran , R. Kohn

This paper proposes a dynamic process of portfolio risk measurement to address potential information loss. The proposed model takes advantage of financial big data to incorporate out-of-target-portfolio information that may be missed when…

风险管理 · 定量金融 2022-02-17 Kwangmin Jung , Donggyu Kim , Seunghyeon Yu

This paper introduces a Bayesian vector autoregression (BVAR) with stochastic volatility-in-mean and time-varying skewness. Unlike previous approaches, the proposed model allows both volatility and skewness to directly affect macroeconomic…

计量经济学 · 经济学 2025-10-10 Leonardo N. Ferreira , Haroon Mumtaz , Ana Skoblar

In this paper, we propose the realized Hyperbolic GARCH model for the joint-dynamics of lowfrequency returns and realized measures that generalizes the realized GARCH model of Hansen et al.(2012) as well as the FLoGARCH model introduced by…

统计方法学 · 统计学 2021-04-27 El Hadji Mamadou Sall , El Hadji Deme , Abdou Ka Diongue

In this article, variational state estimation is examined from the dynamic programming perspective. This leads to two different value functional recursions depending on whether backward or forward dynamic programming is employed. The result…

统计方法学 · 统计学 2025-12-17 Filip Tronarp

A spin model is used for simulations of financial markets. To determine return volatility in the spin financial market we use the GARCH model often used for volatility estimation in empirical finance. We apply the Bayesian inference…

计算金融 · 定量金融 2016-11-28 Tetsuya Takaishi

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…

统计方法学 · 统计学 2022-03-11 Carol Alexander , Yang Han

This paper presents a comparative analysis of univariate and multivariate GARCH-family models and machine learning algorithms in modeling and forecasting the volatility of major energy commodities: crude oil, gasoline, heating oil, and…

计量经济学 · 经济学 2024-05-31 Seulki Chung

In this paper, a new way to integrate volatility information for estimating value at risk (VaR) and conditional value at risk (CVaR) of a portfolio is suggested. The new method is developed from the perspective of Bayesian statistics and it…

风险管理 · 定量金融 2022-05-04 Taras Bodnar , Vilhelm Niklasson , Erik Thorsén

The debate of what quantitative risk measure to choose in practice has mainly focused on the dichotomy between Value at Risk (VaR) -- a quantile -- and Expected Shortfall (ES) -- a tail expectation. Range Value at Risk (RVaR) is a natural…

统计理论 · 数学 2022-06-27 Tobias Fissler , Johanna F. Ziegel

We show that the Realized GARCH model yields close-form expression for both the Volatility Index (VIX) and the volatility risk premium (VRP). The Realized GARCH model is driven by two shocks, a return shock and a volatility shock, and these…

计量经济学 · 经济学 2021-12-13 Peter Reinhard Hansen , Zhuo Huang , Chen Tong , Tianyi Wang

The global financial crisis of 2007-2009 highlighted the crucial role systemic risk plays in ensuring stability of financial markets. Accurate assessment of systemic risk would enable regulators to introduce suitable policies to mitigate…

统计理论 · 数学 2022-03-03 Natalia Nolde , Chen Zhou , Menglin Zhou

Operational risk capital estimation under Basel II/III requires quantifying aggregate losses at extreme confidence levels of 99.9% and beyond, yet the standard Loss Distribution Approach (LDA) assumes independence between loss frequency and…

计算工程、金融与科学 · 计算机科学 2026-05-25 Juan Ballesteros Gómez , Eduardo C. Garrido-Merchán , Pedro Pablo Pérez-Velasco

Various spatiotemporal and network GARCH models have recently been proposed to capture volatility interactions, such as the transmission of market risk across financial networks. These approaches rely heavily on the specification of the…

应用统计 · 统计学 2026-03-03 Ariane N. Meli Chrisko , Jessie Li , Philipp Otto , Wolfgang Schmid

Recently artificial neural networks (ANNs) have seen success in volatility prediction, but the literature is divided on where an ANN should be used rather than the common GARCH model. The purpose of this study is to compare the volatility…

计算金融 · 定量金融 2021-10-19 Curtis Nybo