  We consider the Pearcey integral $P(x,y)$ for large values of $\vert y\vert$
and bounded values of $\vert x\vert$. The integrand of the Pearcey integral
oscillates wildly in this region and the asymptotic saddle point analysis is
complicated. Then we consider here the modified saddle point method introduced
in [Lopez, P\'erez and Pagola, 2009]. With this method, the analysis is simpler
and it is possible to derive a complete asymptotic expansion of $P(x,y)$ for
large $\vert y\vert$. The asymptotic analysis requires the study of three
different regions for $\arg y$ separately. In the three regions, the expansion
is given in terms of inverse powers of $y^{2/3}$ and the coefficients are
elementary functions of $x$. The accuracy of the approximation is illustrated
with some numerical experiments.
