  We find the optimal investment strategy in a Black-Scholes market to minimize
the probability of so-called {\it lifetime exponential Parisian ruin}, that is,
the probability that wealth exhibits an excursion below zero of an
exponentially distributed time before the individual dies. We find that
leveraging the risky asset is worse for negative wealth when minimizing the
probability of lifetime exponential Parisian ruin than when minimizing the
probability of lifetime ruin. Moreover, when wealth is negative, the optimal
amount invested in the risky asset increases as the hazard rate of the
exponential ``excursion clock'' increases. In view of the heavy leveraging when
wealth is negative, we also compute the minimum probability of lifetime
exponential Parisian ruin under a constraint on investment. Finally, we derive
an asymptotic expansion of the minimum probability of lifetime exponential
Parisian ruin for small values of the hazard rate of the excursion clock. It is
interesting to find that, for small values of this hazard rate, the minimum
probability of lifetime exponential Parisian ruin is proportional to the
minimum occupation time studied in Bayraktar and Young, and the proportion
equals the hazard rate. To the best of our knowledge, our work is the first to
{\it control} the probability of Parisian ruin.
