Dynamic Discrete Mixtures for High-Frequency Prices

A-Tier
Journal: Journal of Business & Economic Statistics
Year: 2022
Volume: 40
Issue: 2
Pages: 559-577

Authors (3)

Leopoldo Catania (not in RePEc) Roberto Di Mari (not in RePEc) Paolo Santucci de Magistris (Libera Università Internaziona...)

Score contribution per author:

1.341 = (α=2.01 / 3 authors) × 2.0x A-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

The tick structure of the financial markets entails discreteness of stock price changes. Based on this empirical evidence, we develop a multivariate model for discrete price changes featuring a mechanism to account for the large share of zero returns at high frequency. We assume that the observed price changes are independent conditional on the realization of two hidden Markov chains determining the dynamics and the distribution of the multivariate time series at hand. We study the properties of the model, which is a dynamic mixture of zero-inflated Skellam distributions. We develop an expectation-maximization algorithm with closed-form M-step that allows us to estimate the model by maximum likelihood. In the empirical application, we study the joint distribution of the price changes of a number of assets traded on NYSE. Particular focus is dedicated to the assessment of the quality of univariate and multivariate density forecasts, and of the precision of the predictions of moments like volatility and correlations. Finally, we look at the predictability of price staleness and its determinants in relation to the trading activity on the financial markets.

Technical Details

RePEc Handle
repec:taf:jnlbes:v:40:y:2022:i:2:p:559-577
Journal Field
Econometrics
Author Count
3
Added to Database
2026-01-29