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Volatility is a quantity of measurement for the price movements of stocks or options which indicates the uncertainty within financial markets. As an indicator of the level of risk or the degree of variation, volatility is important to…

机器学习 · 计算机科学 2018-11-12 Qiang Zhang , Rui Luo , Yaodong Yang , Yuanyuan Liu

This paper investigates an important problem of an appropriate variance-covariance matrix estimation in the Modern Portfolio Theory. We propose a novel framework for variancecovariance matrix estimation for purposes of the portfolio…

投资组合管理 · 定量金融 2025-08-22 Maciej Wysocki , Paweł Sakowski

This paper introduces a unified approach for modeling high-frequency financial data that can accommodate both the continuous-time jump-diffusion and discrete-time realized GARCH model by embedding the discrete realized GARCH structure in…

统计方法学 · 统计学 2020-06-16 Xinyu Song , Donggyu Kim , Huiling Yuan , Xiangyu Cui , Zhiping Lu , Yong Zhou , Yazhen Wang

This paper develops a novel framework for modeling the variance swap of multi-asset portfolios by employing the generalized variance approach, which utilizes the determinant of the covariance matrix of the underlying assets. By specifying…

数理金融 · 定量金融 2025-10-24 Semere Gebresilassie , Mulue Gebreslasie , Minglian Lin

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…

统计金融 · 定量金融 2015-02-04 Jozef Barunik , Tomas Krehlik , Lukas Vacha

Accurate forecasting of the Volatility-Covariance Matrix (VCV) is central to regulatory capital adequacy processes such as the Internal Capital Adequacy Assessment Process (ICAAP) and the Comprehensive Capital Analysis and Review (CCAR).…

风险管理 · 定量金融 2026-05-19 Ujjwala Vadrevu

In this paper we use Gaussian Process (GP) regression to propose a novel approach for predicting volatility of financial returns by forecasting the envelopes of the time series. We provide a direct comparison of their performance to…

机器学习 · 统计学 2017-05-03 Syed Ali Asad Rizvi , Stephen J. Roberts , Michael A. Osborne , Favour Nyikosa

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

应用统计 · 统计学 2025-11-10 Ariane Nidelle Meli Chrisko , Philipp Otto , Wolfgang Schmid

Portfolio optimization requires dynamic allocation of funds by balancing the risk and return tradeoff under dynamic market conditions. With the recent advancements in AI, Deep Reinforcement Learning (DRL) has gained prominence in providing…

投资组合管理 · 定量金融 2025-05-08 Arishi Orra , Aryan Bhambu , Himanshu Choudhary , Manoj Thakur , Selvaraju Natarajan

During the last decades there has been increasing interest in modeling the volatility of financial data. Several parametric models have been proposed to this aim, starting from ARCH, GARCH and their variants, but often it is hard to…

统计方法学 · 统计学 2016-07-28 Francesco Giordano , Maria Lucia Parrella

Large collections of time series data are often organized into hierarchies with different levels of aggregation; examples include product and geographical groupings. Probabilistic coherent forecasting is tasked to produce forecasts…

Accurately predicting stock market movements remains a formidable challenge due to the inherent volatility and complex interdependencies among stocks. Although multi-scale Graph Neural Networks (GNNs) hold potential for modeling these…

机器学习 · 计算机科学 2025-11-04 Xiaosha Xue , Peibo Duan , Zhipeng Liu , Qi Chu , Changsheng Zhang , Bin zhang

We propose a hybrid model of portfolio credit risk where the dynamics of the underlying latent variables is governed by a one factor GARCH process. The distinctive feature of such processes is that the long-term aggregate return…

证券定价 · 定量金融 2010-01-07 Arthur M. Berd , Robert F. Engle , Artem Voronov

Price range contains important information about the asset volatility, and has long been considered an important indicator for it. In this paper, we propose to jointly model the [low, high] price range as a random interval and introduce an…

统计方法学 · 统计学 2015-02-18 Yan Sun , Jennifer Loveland , Isaac Blackhurst

With the increasing volume of high-frequency data in the information age, both challenges and opportunities arise in the prediction of stock volatility. On one hand, the outcome of prediction using tradition method combining stock technical…

统计金融 · 定量金融 2023-09-29 Wenting Liu , Zhaozhong Gui , Guilin Jiang , Lihua Tang , Lichun Zhou , Wan Leng , Xulong Zhang , Yujiang Liu

We present a novel methodology for modeling and forecasting multivariate realized volatilities using customized graph neural networks to incorporate spillover effects across stocks. The proposed model offers the benefits of incorporating…

统计金融 · 定量金融 2023-08-04 Chao Zhang , Xingyue Pu , Mihai Cucuringu , Xiaowen Dong

In this paper, we analyze the time-series of minute price returns on the Bitcoin market through the statistical models of generalized autoregressive conditional heteroskedasticity (GARCH) family. Several mathematical models have been…

统计金融 · 定量金融 2021-02-01 Irena Barjašić , Nino Antulov-Fantulin

We provide a simple method to estimate the parameters of multivariate stochastic volatility models with latent factor structures. These models are very useful as they alleviate the standard curse of dimensionality, allowing the number of…

计量经济学 · 经济学 2023-02-15 Giorgio Calzolari , Roxana Halbleib , Christian Mücher

This study evaluates deep neural networks for forecasting probability distributions of financial returns. 1D convolutional neural networks (CNN) and Long Short-Term Memory (LSTM) architectures are used to forecast parameters of three…

风险管理 · 定量金融 2025-09-03 Jakub Michańków

This study was conducted to find an appropriate statistical model to forecast the volatilities of PSEi using the model Generalized Autoregressive Conditional Heteroskedasticity (GARCH). Using the R software, the log returns of PSEi is…

统计金融 · 定量金融 2019-04-02 Novy Ann M. Etac , Roel F. Ceballos