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A simple Hawkes model have been developed for the price tick structure dynamics incorporating market microstructure noise and trade clustering. In this paper, the model is extended with random mark to deal with more realistic price tick…

Statistical Finance · Quantitative Finance 2019-07-30 Kyungsub Lee , Byoung Ki Seo

We develop misspecification tests for building additive time-varying (ATV-)GARCH models. In the model, the volatility equation of the GARCH model is augmented by a deterministic time-varying intercept modeled as a linear combination of…

Econometrics · Economics 2025-07-01 Niklas Ahlgren , Alexander Back , Timo Teräsvirta

Volatility forecasts play a central role among equity risk measures. Besides traditional statistical models, modern forecasting techniques based on machine learning can be employed when treating volatility as a univariate, daily…

Risk Management · Quantitative Finance 2024-08-09 Fernando Moreno-Pino , Stefan Zohren

In this paper, we investigate the problem of predicting the future volatility of Forex currency pairs using the deep learning techniques. We show step-by-step how to construct the deep-learning network by the guidance of the empirical…

Statistical Finance · Quantitative Finance 2021-12-06 Shujian Liao , Jian Chen , Hao Ni

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

Monitoring downside risk and upside risk to the key macroeconomic indicators is critical for effective policymaking aimed at maintaining economic stability. In this paper I propose a parametric framework for modelling and forecasting…

Econometrics · Economics 2023-11-21 Andrea Renzetti

An appropriate calibration and forecasting of volatility and market risk are some of the main challenges faced by companies that have to manage the uncertainty inherent to their investments or funding operations such as banks, pension funds…

Risk Management · Quantitative Finance 2020-08-19 E. Ramos-Pérez , P. J. Alonso-González , J. J. Núñez-Velázquez

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…

Systems and Control · Electrical Eng. & Systems 2025-05-28 Hongpei Shao , Da-Qing Zhang , Feilong Lu

Several studies have focused on the Realized Range Volatility, an estimator of the quadratic variation of financial prices, taking into account the impact of microstructure noise and jumps. However, none has considered direct modeling and…

Applications · Statistics 2014-10-28 Giovanni Bonaccolto , Massimiliano Caporin

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…

Other Statistics · Statistics 2011-07-14 Yu-Cheng Ku , Peter Bloomfield , Robert Kohn

In this paper we formulate a regression problem to predict realized volatility by using option price data and enhance VIX-styled volatility indices' predictability and liquidity. We test algorithms including regularized regression and…

Mathematical Finance · Quantitative Finance 2019-09-24 Peter Carr , Liuren Wu , Zhibai Zhang

We propose a new generalisation of jump-telegraph process with variable velocities and jumps. Amplitude of the jumps and velocity values are random, and they depend on the time spent by the process in the previous state of the underlying…

Probability · Mathematics 2013-11-22 Nikita Ratanov

We study a new measure of codependency in the second moment of a continuous-time multivariate asset price process, which we name the realized copula of volatility. The statistic is based on local volatility estimates constructed from…

Econometrics · Economics 2026-04-22 Kim Christensen , Wenjing Liu , Zhi Liu , Yoann Potiron

In the option valuation literature, the shortcomings of one factor stochastic volatility models have traditionally been addressed by adding jumps to the stock price process. An alternate approach in the context of option pricing and…

Mathematical Finance · Quantitative Finance 2019-12-24 Gifty Malhotra , R. Srivastava , H. C. Taneja

Events such as the Financial Crisis of 2007-2008 or the COVID-19 pandemic caused significant losses to banks and insurance entities. They also demonstrated the importance of using accurate equity risk models and having a risk management…

Computational Finance · Quantitative Finance 2021-09-28 Eduardo Ramos-Pérez , Pablo J. Alonso-González , José Javier Núñez-Velázquez

Jump diffusion processes are widely used to model asset prices over time, mainly for their ability to capture complex discontinuous behavior, but inference on the model parameters remains a challenge. Here our goal is posterior inference on…

Methodology · Statistics 2017-02-23 Ryan Martin , Cheng Ouyang , Francois Domagni

We suggest the Doubly Multiplicative Error class of models (DMEM) for modeling and forecasting realized volatility, which combines two components accommodating low-, respectively, high-frequency features in the data. We derive the…

Statistical Finance · Quantitative Finance 2020-06-08 Alessandra Amendola , Vincenzo Candila , Fabrizio Cipollini , Giampiero M. Gallo

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…

Econometrics · Economics 2021-12-13 Peter Reinhard Hansen , Zhuo Huang , Chen Tong , Tianyi Wang

The Value-at-Risk (VaR) is a widely used instrument in financial risk management. The question of estimating the VaR of loss return distributions at extreme levels is an important question in financial applications, both from operational…

Applications · Statistics 2021-04-21 Hibiki Kaibuchi , Yoshinori Kawasaki , Gilles Stupfler

Stochastic variational inference algorithms are derived for fitting various heteroskedastic time series models. We examine Gaussian, t, and skew-t response GARCH models and fit these using Gaussian variational approximating densities. We…

Computation · Statistics 2023-08-30 Hanwen Xuan , Luca Maestrini , Feng Chen , Clara Grazian