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Related papers: On-line Spot Volatility-Estimation and Decompositi…

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Estimating spot covariance is an important issue to study, especially with the increasing availability of high-frequency financial data. We study the estimation of spot covariance using a kernel method for high-frequency data. In…

Methodology · Statistics 2019-05-21 Konul Mustafayeva , Weining Wang

We develop a framework for composite likelihood estimation of parametric continuous-time stationary Gaussian processes. We derive the asymptotic theory of the associated maximum composite likelihood estimator. We implement our approach on a…

Econometrics · Economics 2026-01-21 Mikkel Bennedsen , Kim Christensen , Peter Christensen

Based on empirical market data, a stochastic volatility model is proposed with volatility driven by fractional noise. The model is used to obtain a risk-neutrality option pricing formula and an option pricing equation.

Other Condensed Matter · Physics 2008-12-02 Rui Vilela Mendes , Maria Joao Oliveira

We study the estimation of leverage effect and volatility of volatility by using high-frequency data with the presence of jumps. We first construct spot volatility estimator by using the empirical characteristic function of the…

Methodology · Statistics 2026-03-03 Qiang Liu , Zhi Liu , Wang Zhou

Volatility estimation is a central problem in financial econometrics, but becomes particularly challenging when jump activity is high, a phenomenon observed empirically in highly traded financial securities. In this paper, we revisit the…

Econometrics · Economics 2026-05-13 B. Cooper Boniece , José E. Figueroa-López , Tianwei Zhou

In this paper, we focus on the estimation of historical volatility of asset prices from high-frequency data. Stochastic volatility models pose a major statistical challenge: since in reality historical volatility is not observable, its…

Computational Finance · Quantitative Finance 2023-02-27 Camilla Damian , Rüdiger Frey

We develop a general class of noise-robust estimators based on the existing estimators in the non-noisy high-frequency data literature. The microstructure noise is a parametric function of the limit order book. The noise-robust estimators…

Statistics Theory · Mathematics 2020-09-18 Simon Clinet , Yoann Potiron

We propose how to quantify high-frequency market sentiment using high-frequency news from NASDAQ news platform and support vector machine classifiers. News arrive at markets randomly and the resulting news sentiment behaves like a…

General Finance · Quantitative Finance 2019-06-04 Jozef Barunik , Cathy Yi-Hsuan Chen , Jan Vecer

Using recent advances in the econometrics literature, we disentangle from high frequency observations on the transaction prices of a large sample of NYSE stocks a fundamental component and a microstructure noise component. We then relate…

Applications · Statistics 2009-06-11 Yacine Aït-Sahalia , Jialin Yu

In this paper, we provide non-parametric statistical tools to test stationarity of microstructure noise in general hidden Ito semimartingales, and discuss how to measure liquidity risk using high frequency financial data. In particular, we…

Statistical Finance · Quantitative Finance 2019-11-07 Richard Y. Chen , Per A. Mykland

In this study, we constructed daily high-frequency sentiment data and used the VAR method to attempt to predict the next day's implied volatility surface. We utilized 630,000 text data entries from the East Money Stock Forum from 2014 to…

Machine Learning · Computer Science 2024-05-21 Jiahao Weng , Yan Xie

The main contribution of the paper is proving that the Fourier spot volatility estimator introduced in [Malliavin and Mancino, 2002] is consistent and asymptotically efficient if the price process is contaminated by microstructure noise.…

Statistical Finance · Quantitative Finance 2022-09-20 Maria Elvira Mancino , Tommaso Mariotti , Giacomo Toscano

In this paper, we present a method of estimating the volatility of a signal that displays stochastic noise (such as a risky asset traded on an open market) utilizing Linear Predictive Coding. The main purpose is to associate volatility with…

Information Theory · Computer Science 2007-07-13 Louis Mello

Volatility measures the amplitude of price fluctuations. Despite it is one of the most important quantities in finance, volatility is not directly observable. Here we apply a maximum likelihood method which assumes that price and volatility…

Computational Finance · Quantitative Finance 2012-09-03 Jordi Camprodon , Josep Perelló

It has been recently shown that spot volatilities can be very well modeled by rough stochastic volatility type dynamics. In such models, the log-volatility follows a fractional Brownian motion with Hurst parameter smaller than 1/2. This…

Statistical Finance · Quantitative Finance 2017-02-10 Giulia Livieri , Saad Mouti , Andrea Pallavicini , Mathieu Rosenbaum

We propose model-free (nonparametric) estimators of the volatility of volatility and leverage effect using high-frequency observations of short-dated options. At each point in time, we integrate available options into estimates of the…

Econometrics · Economics 2024-01-24 Carsten H. Chong , Viktor Todorov

We propose localized spectral estimators for the quadratic covariation and the spot covolatility of diffusion processes which are observed discretely with additive observation noise. The eligibility of this approach to lead to an…

Statistics Theory · Mathematics 2015-03-19 Markus Bibinger , Markus Reiß

This study examines the use of a recurrent neural network for estimating the parameters of a Hawkes model based on high-frequency financial data, and subsequently, for computing volatility. Neural networks have shown promising results in…

Statistical Finance · Quantitative Finance 2023-04-25 Kyungsub Lee

We study the parameter estimation for parabolic, linear, second-order, stochastic partial differential equations (SPDEs) observing a mild solution on a discrete grid in time and space. A high-frequency regime is considered where the mesh of…

Statistics Theory · Mathematics 2019-09-11 Markus Bibinger , Mathias Trabs

We develop a behavioral asset pricing model in which agents trade in a market with information friction. Profit-maximizing agents switch between trading strategies in response to dynamic market conditions. Due to noisy private information…

Trading and Market Microstructure · Quantitative Finance 2019-05-02 Zhentao Shi , Huanhuan Zheng