12 papers
On covariation estimation for multivariate continuous Itô semimartingales with noise in non-synchronous observation schemes
Kim Christensen, Mark Podolskij, Mathias Vetter
This paper presents a Hayashi-Yoshida type estimator for the covariation matrix of continuous Itô semimartingales observed with noise. The coordinates of the multivariate process…
Pre-averaging estimators of the ex-post covariance matrix in noisy diffusion models with non-synchronous data
Kim Christensen, Silja Kinnebrock, Mark Podolskij
We show how pre-averaging can be applied to the problem of measuring the ex-post covariance of financial asset returns under microstructure noise and non-synchronous trading. A pre…
Asymptotic theory of range-based multipower variation
Kim Christensen, Mark Podolskij
In this paper, we present a realized range-based multipower variation theory, which can be used to estimate return variation and draw jump-robust inference about the diffusive vola…
Fact or friction: Jumps at ultra high frequency
Kim Christensen, Roel C. A. Oomen, Mark Podolskij
This paper shows that jumps in financial asset prices are often erroneously identified and are, in fact, rare events accounting for a very small proportion of the total price varia…
The realized empirical distribution function of stochastic variance with application to goodness-of-fit testing
Kim Christensen, Martin Thyrsgaard, Bezirgen Veliyev
We propose a nonparametric estimator of the empirical distribution function (EDF) of the latent spot variance of the log-price of a financial asset. We show that over a fixed time…
Realized range-based estimation of integrated variance
Kim Christensen, Mark Podolskij
We provide a set of probabilistic laws for estimating the quadratic variation of continuous semimartingales with realized range-based variance -- a statistic that replaces every sq…