  De Finetti's optimal dividend problem has recently been extended to the case
dividend payments can only be made at Poisson arrival times. This paper
considers the version with bail-outs where the surplus must be nonnegative
uniformly in time. For a general spectrally negative L\'evy model, we show the
optimality of a Parisian-classical reflection strategy that pays the excess
above a given barrier at each Poisson arrival times and also reflects from
below at zero in the classical sense.
