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This paper presents first principles calculations of paramagnetic cubicCrN$_x$ with the aim to provide deeper insight into recently publishedtransmission electron microscopy-based study on this material. Among severaltypes of point defects which may result in N-deficient material, N vacancy isfound to be energetically preferred to Cr interstitial and anti-sites. ElectronEnergy Loss Near Edge Structure of N K-edge transition is calculated forvarious concentrations of N vacancies in CrN$_x$, yielding the same trends asexperimentally observed. Analysis of the electronic structure reveals decreasedcharge transfer from Cr sites with increased N vacancy content, henceincreasing the metallic character of the defected material. Finally, theelectronic structure is found to be strongly dependent on the local environment(i.e. presence of the N vacancies).

Impact of point defects on the electronic structure of paramagnetic CrN