In this paper we model a job-specific shock process in the matching mo
del of unemployment with non-cooperative wage behaviour. We obtain end
ogenous job creation and job destruction processes and study their pro
perties, We show that an aggregate shock induces negative correlation
between job creation and job destruction whereas a dispersion shock in
duces positive correlation. The job destruction process is shown to ha
ve more volatile dynamics than the job creation process. In simulation
s we show that an aggregate shock process proxies reasonably well the
cyclical behaviour of job creation and job destruction in the United S
tates.