State Heterogeneity Analysis of Financial Volatility Using High-Frequency Financial Data

Vast Volatility Matrix Estimation for High-frequency Financial Data By

High-frequency data observed on the prices of financial assets are commonly modeled by diffusion processes with micro-structure noise, and realized volatility-based methods are often used to estimate integrated volatility. For problems involving a large number of assets, the estimation objects we face are volatility matrices of large size. The existing volatility estimators work well for a smal...

Analysis of High Frequency Financial Data

Fast Convergence Rates in Estimating Large Volatility Matrices Using High-frequency Financial Data

Financial practices often need to estimate an integrated volatility matrix of a large number of assets using noisy high-frequency data. Many existing estimators of a volatility matrix of small dimensions become inconsistent when the size of the matrix is close to or larger than the sample size. This paper introduces a new type of large volatility matrix estimator based on nonsynchronized high-f...

Multi-scale Jump and Volatility Analysis for High-Frequency Financial Data

The wide availability of high-frequency data for many financial instruments stimulates an upsurge interest in statistical research on the estimation of volatility. Jump-diffusion processes observed with market microstructure noise are frequently used to model high-frequency financial data. Yet, existing methods are developed for either noisy data from a continuous diffusion price model or data ...

Modelling Di erent Volatility Components in High-Frequency Financial Returns

This paper considers simultaneous modelling of seasonality, slowly changing unconditional variance and conditional heteroskedasticity in high-frequency nancial returns. A new approach, called a seasonal SEMIGARCH model, is proposed to perform this by introducing multiplicative seasonal and trend components into the GARCH model. A data-driven semiparametric algorithm is developed for estimating ...