In this paper we explore the portfolio selection problem involving
an uncertain time of eventual exit. To deal with this uncertainty,
the worst-case CVaR methodology is adopted in the case where no or
only partial information on the exit time is available, and the
corresponding problems are integrated into linear programs which
can be efficiently solved. Moreover, we present a method for
specifying the uncertain information on the distribution of the
exit time associated with exogenous and endogenous incentives.
Numerical experiments with real market data and Monte Carlo
simulation show the usefulness of the proposed model.