We study the problem of jump detection for ultra-high-frequency tick-by-tick data. We propose a novel easy-to-implement procedure that can separate the contribution of microstructure noise and that of finite activity price jumps from the price process, which may have interesting implications on...

This note contains the supplements to Li and Linton (2019). Section A contains extensive simulation studies. Section B presents the methodology and a detailed numerical algorithm to select the tuning parameters. Section C presents additional empirical studies. Section D contains all mathematical...

We introduce a new method to estimate the integrated volatility (IV) and the spot volatility (SV) based on noisy high-frequency data. Our method employs the ReMeDI approach introduced by Li and Linton (2022, Econometrica) to estimate the moments of microstructure noise and thereby eliminate...