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We introduce a novel GARCH model that integrates two sources of uncertainty to better capture the rich, multi-component dynamics often observed in the volatility of financial assets. This model provides a quasi closed-form representation of…

Econometrics · Economics 2024-10-21 Luca Vincenzo Ballestra , Enzo D'Innocenzo , Christian Tezza

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…

Applications · Statistics 2026-03-03 Ariane N. Meli Chrisko , Jessie Li , Philipp Otto , Wolfgang Schmid

Although there are many methods for functional data analysis (FDA), little emphasis is put on characterizing variability among volatilities of individual functions. In particular, certain individuals exhibit erratic swings in their…

Applications · Statistics 2012-12-04 Bin Zhu , David B. Dunson

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 introduces one new multivariate volatility model that can accommodate an appropriately defined network structure based on low-frequency and high-frequency data. The model reduces the number of unknown parameters and the…

Statistical Finance · Quantitative Finance 2022-04-28 Huiling Yuan , Guodong Li , Junhui Wang

We propose a continuous-time Markov-switching generalized autoregressive conditional heteroskedasticity (COMS-GARCH) process for handling irregularly spaced time series (TS) with multiple volatilities states. We employ a Gibbs sampler in…

Methodology · Statistics 2020-12-15 Yinan Li , Fang Liu

In this paper, we show that the recent integration of statistical models with deep recurrent neural networks provides a new way of formulating volatility (the degree of variation of time series) models that have been widely used in time…

Machine Learning · Computer Science 2018-12-06 Rui Luo , Weinan Zhang , Xiaojun Xu , Jun Wang

We analyze the stability of financial investment networks, where financial institutions hold overlapping portfolios of assets. We consider the effect of portfolio diversification and heterogeneous investments using a random matrix dynamical…

Risk Management · Quantitative Finance 2025-02-03 Preben Forer , Barak Budnick , Pierpaolo Vivo , Sabrina Aufiero , Silvia Bartolucci , Fabio Caccioli

In this paper, we introduce a novel method for predicting intraday instantaneous volatility based on Ito semimartingale models using high-frequency financial data. Several studies have highlighted stylized volatility time series features,…

Econometrics · Economics 2025-05-16 Sung Hoon Choi , Donggyu Kim

We study hedging and pricing of unattainable contingent claims in a non-Markovian regime-switching financial model. Our financial market consists of a bank account and a risky asset whose dynamics are driven by a Brownian motion and a…

Pricing of Securities · Quantitative Finance 2013-03-19 Łukasz Delong , Antoon Pelsser

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…

Methodology · Statistics 2015-02-18 Yan Sun , Jennifer Loveland , Isaac Blackhurst

We present a new volatility model, simple to implement, that includes a leverage effect whose return-volatility correlation function fits to empirical observations. This model is able to capture both the "retarded effect" induced by the…

Statistical Finance · Quantitative Finance 2020-01-03 Sebastien Valeyre , Denis Grebenkov , Sofiane Aboura , Qian Liu

We combine geometric data analysis and stochastic modeling to describe the collective dynamics of complex systems. As an example we apply this approach to financial data and focus on the non-stationarity of the market correlation structure.…

Statistical Finance · Quantitative Finance 2015-09-30 Yuriy Stepanov , Philip Rinn , Thomas Guhr , Joachim Peinke , Rudi Schäfer

We propose a stochastic volatility model for time series of curves. It is motivated by dynamics of intraday price curves that exhibit both between days dependence and intraday price evolution. The curves are suitably normalized to…

Methodology · Statistics 2023-05-09 Piotr Kokoszka , Neda Mohammadi , Haonan Wang , Shixuan Wang

Assuming frictionless trading, classical stochastic portfolio theory (SPT) provides relative arbitrage strategies. However, the costs associated with real-world execution are state-dependent, volatile, and under increasing stress during…

Portfolio Management · Quantitative Finance 2025-07-15 Nader Karimi , Erfan Salavati

Stochastic volatility models describe asset prices $S_t$ as driven by an unobserved process capturing the random dynamics of volatility $\sigma_t$. Here, we quantify how much information about $\sigma_t$ can be inferred from asset prices…

Statistical Finance · Quantitative Finance 2015-12-29 Nils Bertschinger , Oliver Pfante

In this paper we present a test for the maximal rank of the matrix-valued volatility process in the continuous Ito semimartingale framework. Our idea is based upon a random perturbation of the original high frequency observations of an Ito…

Statistics Theory · Mathematics 2012-12-24 Jean Jacod , Mark Podolskij

This paper proposes an empirical test of financial contagion in European equity markets during the tumultuous period of 2008-2011. Our analysis shows that traditional GARCH and Gaussian stochastic-volatility models are unable to explain two…

Statistical Finance · Quantitative Finance 2012-03-28 Nicholas G. Polson , James G. Scott

We propose a new framework for measuring connectedness among financial variables that arises due to heterogeneous frequency responses to shocks. To estimate connectedness in short-, medium-, and long-term financial cycles, we introduce a…

Methodology · Statistics 2017-12-20 Jozef Barunik , Tomas Krehlik

The global financial system is highly complex, with cross-border interconnections and interdependencies. In this highly interconnected environment, local financial shocks and events can be easily amplified and turned into global events.…

Statistical Finance · Quantitative Finance 2021-04-22 Matthias Raddant , Dror Y. Kenett