  We present an exact solution of the Maxwell-Einstein equations, which
describes the exterior of a charged spherical mass collapsing into its own
trapping horizon and then bouncing back from an anti-trapping horizon at the
same space location of the same asymptotic region. The solution is locally but
not globally isometric to the maximally extended Reissner-Nordstr\"{o}m metric
and depends on seven parameters. It is regular, and defined everywhere except
for a small region, where quantum tunnelling is expected. This region lies
outside the mass: the mass-bounce and its near exterior are governed by
classical general relativity. We discuss the relevance of this result for the
fate of realistic black holes. We comment on possible effects of the classical
instabilities and the Hawking radiation.
