Volatility and High-Frequency Data

KERNEL
NOISE

MARKOV
GARCH
OTHER

High-Frequency Data and Estimators of Volatility

High-frequency price data contain valuable information about the underlying process. A challenging aspect of estimating volatility from high-frequency data is noise that conceals the efficient price. In my reasearch I have studied the empirical features of the noise and developed accurate estimators of volatility.

Realized Kernel

Realised kernel estimators are designed to estimate volatility in the context of noisy high-frequency data, such as tick-by-tick transaction prices. Key results:
  • » A general theory for realised kernels is established, including a feasible limit theory. The class of realised kernels includes an efficient estimator of the quadratic variation.
  • » The multivariate realised kernel is guarenteed to be PSD and robust to noisy and non-synchronous high-frequency data.
  • » Combining subsampling with realised kernels results in less efficient estimators.
  • » Challenging empirical features are discussed and analysed.