The Econometrics of Ultra-high-frequency Data

The Econometrics of High Frequency Data

There has in recent years been a vast increase in the amount of high frequency data available. There has also been an explosion in the literature on the subject. In this course, we start from scratch, introducing the probabilistic model for such data, and then turn to the estimation question in this model. We shall be focused on the (for this area) emblematic problem of estimating volatility. S...

The Econometrics of High Frequency Data 2 1 . 2 High Frequency Data

High-Frequency Financial Econometrics

This book is fundamentally about the estimation of risk. At an intuitive level, risk is easy to understand: given an asset with a current price of say $100, what is the likelihood that at some future time—the risk horizon—its price will be less than $90? Or more than $120? And how does the probability of observing a price below $90 change as a function of the risk horizon? Such heuristic notion...

Spectral Densities of Ultra - high Frequency Data

This paper suggests the application of advanced methods from Fourier Analysis in order to describe ultra-high frequent data in limit order books. Using Lomb’s normalized periodogram and Scargle’s Discrete Fourier Transforms to take account of the irregularity in spacing, the power spectra of different time series processes can be easily estimated, without immense computational effort caused by ...

Testing the Markov Property with Ultra High Frequency Financial Data∗

This paper develops a framework to test whether discrete-valued irregularly-spaced financial transactions data follow a subordinated Markov process. For that purpose, we consider a specific optional sampling in which a continuous-time Markov process is observed only when it crosses some discrete level. This framework is convenient for it accommodates not only the irregular spacing of transactio...