2023/03 LEM Working Paper Series

A non-Normal framework for price discovery: The independent component based information shares measure

Sebastiano Michele Zema and Francesco Cordoni
  Keywords
 
Vector error correction models (VECMs); information shares; market microstructure; independent component analysis; pseudo maximum likelihood; price discovery.


  JEL Classifications
 
C32, C58, G14
  Abstract
 
We propose a new measure of price discovery, which we will refer to as the Independent Component based Information Share (IC-IS). This measure constitutes a variant of the widespread Information Share, with the main difference being it does not suffer the same identification issues. Under the assumptions of non-normality of the shocks, a rather general theoretical framework leading to the definition of the IC-IS and its estimation via a pseudo maximum likelihood (PML) approach is illustrated. After testing the robustness of the measure in a Montecarlo simulation environment, we illustrate two separate empirical analyses encompassing different price discovery applications.
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