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As the dynamic structure of the financial markets is subject to dramatic changes, a model capable of providing consistently accurate volatility estimates must not make strong assumptions on how prices change over time. Most volatility…

统计方法学 · 统计学 2017-08-28 Wilson Ye Chen , Richard H. Gerlach

We introduce a pricing kernel with time-varying volatility risk aversion to explain observed time variations in the shape of the pricing kernel. When combined with the Heston-Nandi GARCH model, this framework yields a tractable option…

证券定价 · 定量金融 2025-03-11 Peter Reinhard Hansen , Chen Tong

Our article considers a regression model with observed factors. The observed factors have a flexible stochastic volatility structure that has separate dynamics for the volatilities and the correlation matrix. The correlation matrix of the…

其他统计学 · 统计学 2011-07-14 Yu-Cheng Ku , Peter Bloomfield , Robert Kohn

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

This paper intends to meet recent claims for the attainment of more rigorous statistical methodology within the econophysics literature. To this end, we consider an econometric approach to investigate the outcomes of the log-periodic model…

统计金融 · 定量金融 2009-11-13 L. Gazola , C. Fernandes , A. Pizzinga , R. Riera

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

We attempt to unveil the fine structure of volatility feedback effects in the context of general quadratic autoregressive (QARCH) models, which assume that today's volatility can be expressed as a general quadratic form of the past daily…

统计金融 · 定量金融 2014-05-28 Rémy Chicheportiche , Jean-Philippe Bouchaud

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

Agents' heterogeneity is recognized as a driver mechanism for the persistence of financial volatility. We focus on the multiplicity of investment strategies' horizons, we embed this concept in a continuous time stochastic volatility…

统计金融 · 定量金融 2013-04-04 Danilo Delpini , Giacomo Bormetti

We develop a procedure for forecasting the volatility of a time series immediately following a news shock. Adapting the similarity-based framework of Lin and Eck (2020), we exploit series that have experienced similar shocks. We aggregate…

统计方法学 · 统计学 2024-08-08 David P. Lundquist , Daniel J. Eck

We compare systematically several classes of stochastic volatility models of stock market fluctuations. We show that the long-time return distribution is either Gaussian or develops a power-law tail, while the short-time return distribution…

统计金融 · 定量金融 2010-09-15 Frantisek Slanina

Time series forecasting represents a significant and challenging task across various fields. Recently, methods based on mode decomposition have dominated the forecasting of complex time series because of the advantages of capturing local…

统计方法学 · 统计学 2023-11-30 Zhengtao Gui , Haoyuan Li , Sijie Xu , Yu Chen

We propose a novel method to quantify the clustering behavior in a complex time series and apply it to a high-frequency data of the financial markets. We find that regardless of used data sets, all data exhibits the volatility clustering…

统计金融 · 定量金融 2008-12-02 Gabjin Oh , Seunghwan Kim , Cheoljun Eom , Taehyuk Kim

We propose an artificial market model based on deterministic agents. The agents modify their ask/bid price depending on past price changes. The temporal development of market price fluctuations is calculated numerically. A probability…

统计力学 · 物理学 2008-12-10 Aki-Hiro Sato , Hideki Takayasu

We relax the strong rationality assumption for the agents in the paradigmatic Kyle model of price formation, thereby reconciling the framework of asymmetrically informed traders with the Adaptive Market Hypothesis, where agents use…

交易与市场微观结构 · 定量金融 2022-06-15 Michele Vodret , Iacopo Mastromatteo , Bence Toth , Michael Benzaquen

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

The fundamental theorem behind financial markets is that stock prices are intrinsically complex and stochastic. One of the complexities is the volatility associated with stock prices. Volatility is a tendency for prices to change…

统计金融 · 定量金融 2023-11-21 Leonard Mushunje , Maxwell Mashasha , Edina Chandiwana

GARCH-type time series (characterized by Generalized Autoregressive Conditional Heteroskedasticity) exhibit pronounced volatility, autocorrelation, and heteroskedasticity. To address these challenges and enhance predictive accuracy, this…

系统与控制 · 电气工程与系统科学 2025-05-28 Hongpei Shao , Da-Qing Zhang , Feilong Lu

We examine the relationship between trading volumes, number of transactions, and volatility using daily stock data of the Tokyo Stock Exchange. Following the mixture of distributions hypothesis, we use trading volumes and the number of…

统计金融 · 定量金融 2018-01-19 Tetsuya Takaishi , Ting Ting Chen

This paper offers a new approach for estimating and forecasting the volatility of financial time series. No assumption is made about the parametric form of the processes. On the contrary, we only suppose that the volatility can be…

统计理论 · 数学 2007-06-13 Danilo Mercurio , Vladimir Spokoiny