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With the availability of high frequency financial data, nonparametric estimation of volatility of an asset return process becomes feasible. A major problem is how to estimate the volatility consistently and efficiently, when the observed…

统计理论 · 数学 2007-06-13 Lan Zhang

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…

应用统计 · 统计学 2014-10-28 Giovanni Bonaccolto , Massimiliano Caporin

The Stochastic Volatility (SV) model and its variants are widely used in the financial sector while recurrent neural network (RNN) models are successfully used in many large-scale industrial applications of Deep Learning. Our article…

计量经济学 · 经济学 2022-01-25 Trong-Nghia Nguyen , Minh-Ngoc Tran , David Gunawan , R. Kohn

We calculate the realized volatility in the spin model of financial markets and examine the returns standardized by the realized volatility. We find that moments of the standardized returns agree with the theoretical values of standard…

计算金融 · 定量金融 2016-11-28 Tetsuya Takaishi

Jumps and market microstructure noise are stylized features of high-frequency financial data. It is well known that they introduce bias in the estimation of volatility (including integrated and spot volatilities) of assets, and many methods…

计量经济学 · 经济学 2023-02-20 Qiang Liu , Zhi Liu

In this paper, we develop econometric tools to analyze the integrated volatility of the efficient price and the dynamic properties of microstructure noise in high-frequency data under general dependent noise. We first develop consistent…

统计理论 · 数学 2018-06-14 Z. Merrick Li , Roger J. A. Laeven , Michel H. Vellekoop

In this article we consider the volatility inference in the presence of both market microstructure noise and endogenous time. Estimators of the integrated volatility in such a setting are proposed, and their asymptotic properties are…

统计金融 · 定量金融 2013-03-26 Yingying Li , Zhiyuan Zhang , Xinghua Zheng

We consider the randomness of market trade as the origin of price and return stochasticity. We look at time series of trade values and volumes as random variables during the averaging interval {\Delta} and describe the dependences of…

统计金融 · 定量金融 2024-06-18 Victor Olkhov

Volatility is a natural risk measure in finance as it quantifies the variation of stock prices. A frequently considered problem in mathematical finance is to forecast different estimates of volatility. What makes it promising to use deep…

统计金融 · 定量金融 2020-09-14 Bernadett Aradi , Gábor Petneházi , József Gáll

This paper investigates the structural dynamics of stock market volatility through the Financial Chaos Index, a tensor- and eigenvalue-based measure designed to capture realized volatility via mutual fluctuations among asset prices.…

统计金融 · 定量金融 2025-04-29 Masoud Ataei

Volatility for financial assets returns can be used to gauge the risk for financial market. We propose a deep stochastic volatility model (DSVM) based on the framework of deep latent variable models. It uses flexible deep learning models to…

机器学习 · 计算机科学 2021-02-26 Xiuqin Xu , Ying Chen

This paper introduces an innovative realized volatility (RV) forecasting framework that extends the conventional Heterogeneous autoregressive (HAR) model via integrating Graph Signal Processing (GSP). The study first evaluates various…

综合金融 · 定量金融 2025-09-18 Zhengyang Chi , Junbin Gao , Chao Wang

We consider economic obstacles that limit the reliability and accuracy of value-at-risk (VaR). Investors who manage large market transactions should take into account the impact of the randomness of large trade volumes on predictions of…

综合经济学 · 经济学 2024-04-30 Victor Olkhov

Volatility is a key measure of risk in financial analysis. The high volatility of one financial asset today could affect the volatility of another asset tomorrow. These lagged effects among volatilities - which we call volatility spillovers…

统计金融 · 定量金融 2017-08-08 Luca Barbaglia , Christophe Croux , Ines Wilms

A technique for on-line estimation of spot volatility for high-frequency data is developed. The algorithm works directly on the transaction data and updates the volatility estimate immediately after the occurrence of a new transaction.…

统计方法学 · 统计学 2013-01-15 Rainer Dahlhaus , Jan C. Neddermeyer

We formulate a discrete-time Bayesian stochastic volatility model for high-frequency stock-market data that directly accounts for microstructure noise, and outline a Markov chain Monte Carlo algorithm for parameter estimation. The methods…

应用统计 · 统计学 2016-02-02 Georgi Dinolov , Abel Rodriguez , Hongyun Wang

For nearly every major stock market there exist equity and implied volatility indices. These play important roles within finance: be it as a benchmark, a measure of general uncertainty or a way of investing or hedging. It is well known in…

统计金融 · 定量金融 2016-04-20 Holger Fink , Yulia Klimova , Claudia Czado , Jakob Stöber

In Gatheral et al. 2018, first posted in 2014, volatility is characterized by fractional behavior with a Hurst exponent $H < 0.5$, challenging traditional views of volatility dynamics. Gatheral et al. demonstrated this using realized…

统计金融 · 定量金融 2024-09-06 Saad Mouti

This paper shows a novel machine learning model for realized volatility (RV) prediction using a normalizing flow, an invertible neural network. Since RV is known to be skewed and have a fat tail, previous methods transform RV into values…

计算工程、金融与科学 · 计算机科学 2023-10-24 Xin Du , Kai Moriyama , Kumiko Tanaka-Ishii

We propose a new measure of systemic risk to analyze the impact of the major financial market turmoils in the stock markets from 2000 to 2023 in the USA, Europe, Brazil, and Japan. Our Implied Volatility Realized Volatility Systemic Risk…

风险管理 · 定量金融 2023-07-13 Paweł Sakowski , Rafał Sieradzki , Robert Ślepaczuk
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