%0 Generic %A Boyarchenko, Svetlana %A Levendorskii, Sergei %D 2010 %F mpra:27999 %K optimal stopping, Levy processes, non-monotone discontinuous payoffs %T Optimal stopping in Levy models, for non-monotone discontinuous payoffs %U https://mpra.ub.uni-muenchen.de/27999/ %X We give short proofs of general theorems about optimal entry and exit problems in Levy models, when payoff streams may have discontinuities and be non-monotone. As applications, we consider exit and entry problems in the theory of real options, and an entry problem with an embedded option to exit.